Steve’s savings account has a balance of $1287. after 4 years, what will the amount of interest be at 6% compounded semiannually? a. $161.53 c. $308.88 b. $337.81 d. $343.33

Answers

Answer 1

Answer:

d. $343.33

Step-by-step explanation:

We use the equation

A = P(1 + r)^t

P = $1287

r = 6% = 0.06

t = 4 years

Let's solve

A = 1287( 1 + 0.06)^4

A = 1287(1.06)^4

A = $1630.33

$1630.33 - $1287 = $343.33

So, the answer is D


Related Questions

HELLPPPP ME RIGHT AWAY PLEASE?

Answers

Answer: 3 = 12 , 4 = 2 , 2 = 22
             

Step-by-step explanation: Since t represents the number of tickets purchased, we need to plug that into our equation.

d = -10t + 42

d = -10(3) + 42

We know that d is the balance of the bank account, so if we plug in the number of tickets purchased, we will solve to get the balance of the bank account.

d = -10(3) + 42

d = -30 + 42

d = 12

In this equation, If we purchase 3 tickets, the balance of the bank account would be 12 dollars.

Let's do the last 2 equations using d = -10t + 42.

d = -10(4) + 42

d = -40 + 42

d = 2

In this equation, If we purchase 4 tickets, the balance of the bank account would be 2 dollars.

d = -10(2) + 42

d = -20 + 42

d = 22

In this equation, If we purchase 2 tickets, the balance of the bank account would be 22 dollars.




graph the direct variation y=-=1.5x. using the graph find the value of x when y=-3,4,5 and 6

Answers

The graph of function y = -1.5x, for x = -3, 4, 5, and 6 is shown.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
y = -1.5x.

Substitute the value of x = -3, 4, 5, and 6.

x = -3
y = -1.5(-3)
y = 4.5

Similarly,
x = 4   ;y = -6

x = 5  ;y = -7.5
x = 6  ;y = -9

Thus, the graph for the value of has been shown,

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The area of the curved surface of a cylindrical jar is 1,584 square centimeters. The height of the jar is 28 centimeters. a) What is the circumference of the jar? b) What is the radius of the jar?
please help this is due soon

Answers

The circumference of the jar is 56.57cm.

The radius of the jar is 9 cm.

What is the circumference of the jar?

A cylinder is a three-dimensional object. It is a prism with a circular base.

The curved surface area of a cylinder = 2πrh

Where:

π = 3.14r = h = 28

1584 = 2 x 3.14 x 28 x r

r = 1584 / (2 x 3.14 x 28)

r = 9 cm

Circumference = 3.14 x diameter

diameter = 2 x radius

3.14 x 2 x 9 = 56.57cm

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How do you make a table of values for an equation?

Answers

Prior to selecting an input value range, create the table. Replace each input value with its equivalent in the supplied equation's left-hand column.

what is function ?

Mathematics encompasses the study of numbers, formulas and related structures, shapes and the spaces in which they exist, quantities and their variations, and spaces in which they exist. A function is an association between a set of inputs, each of which has an output. Simply described, a function is a relationship between inputs and outputs, where each input results in a single, distinct output. Each function has a domain and a codomain, often known as a scope. Typically, the letter f is used to denote functions (x). is the input. There are four different categories of functions. based on one-to-one functions, many-to-one functions, on functions, within functions, and one-to-one functions.

given

Prior to selecting an input value range, create the table.

Replace each input value with its equivalent in the supplied equation's left-hand column.

The output value can be found by analyzing the equation in the middle column.

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S = a + b + c

Solve for b.

Answers

[tex]s=a+b+c[/tex] solve for b

Flip:

[tex]a+b+c=s[/tex]

Add -a to both sides:

[tex]a+b+c+-a=s+-a[/tex]

[tex]b+c=-a+s[/tex]

Add -c to both sides:

[tex]b+c+-c=-a+s+-c[/tex]

[tex]\fbox{b = -a - c + s}[/tex]

Answer:

S - c - a = b or b = S - c - a ( same answer just written differently)

Step-by-step explanation:

S = a + b + c move the unwanted exponents to the other side

S = a + b + c / - c

S - c = a +b / - a

S - c - a = b

If the area of an isosceles right triangle is 72, find the length of the hypotenuse.

Answers

Answer: The length of a hypotenuse can be found if you use the Pythagorean theorem and by doing that, the length of the square will equal the same squares of the lengths of the other two sides.

Step-by-step explanation: I am so sorry i tried to paraphrase so pls dont be mad at me. ( i am not good at it but atleast i tried, no hate pls)

-♥ Roxy ♥

Y=3/4x+3 I’m so confused on how to graph the and solve it please helpp

Answers

In Y=3/4x+3 the Slope is 3/4, the Y-intercept is (0,-3) and the usual form is 3x4y=12. , which does not have a conic section. as opposed to asymptotes.

How to draw a graph ?

Use the slope and y-intercept, or two points, to graph the line. 3 / 4 of a slope; y-intercept: (0,-3) Write in formal language. 3 x-4 y=12         Discover the negative reciprocal of the original line's slope.

[tex]$$m_{\text {perpendicular }}=-\frac{4}{3}$$[/tex]

In order to identify the periods during which the equation is increasing or decreasing, graph it. Continued Growth There are no asymptotes since the equation Y=3/4x+3 is not a reasonable expression. There are no asymptotes. Any conic section's form is not compatible with the equation. Not a Conic Section.This subject can't be explored any further. Please double-check the supplied phrase or select a different subject.

[tex]$$y={3}/{4} x-3$$[/tex][tex]$$y={3}/{4} x+3$$[/tex]

Identify the y-intercept = b , y = mx + b. Plot the y-intercept. The focus will be (0, b). Calculate the slope=m of the equation y = mx + b. Create a single step utilizing the rise and run from the slope. Connect those two places with your line.

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How many solutions does -3=2x²-8x+8 have

Answers

The quadratic equation has two solutions, x1 = 3.44 and x2 = 0.56

What are Quadratic equations?

Quadratic equations are the ones with degree 2. The standard form of a quadratic equation with variable x is ax2 + bx + c = 0, where a ≠ 0. These equations can be solved by splitting the factorisation, completing the square, or by quadratic formula method.

2x²-8x+8 = -3

2x²-8x+8+3 = 0

2x²-8x+11=0

Using the quadratic formula

x = (- b ± √(b² - 4ac)) / 2a

where a = 2

b = -8

c = 11

x = (-(-8) ± √(11² - 4(2)(11))) / 2(2)

x = (8 ± √(121 - 88)) / 4

x = (8 ± √(33))/4

x 1 = (8 + √(33))/4

x1 = (8 + √(33))/4

x1 = (8 + 5.75)/4

x1 = 13.75 / 4

x1 = 3.44

x2 = (8 - √(33))/4

x2 = (8 - 5.75)/4

x2 = 2.25/4

x2 = 0.56

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How many types of coordinate system are in Revit?

Answers

There are three types of coordinate systems in Revit: Project Coordinates, Shared Coordinates, and Site Coordinates.

There are three types of coordinate systems in Revit: Project Coordinates, Shared Coordinates, and Site Coordinates. Project Coordinates are the default coordinates used in Revit and are based on the project origin. This is the origin point of the model and all elements in the project are positioned relative to this point.

Shared Coordinates are used to link multiple projects together. This origin point is determined by a shared coordinate system, which is based on the origin of the shared coordinate system.

Site Coordinates are used to set the project origin in the real-world location of a site. This location is determined by the user and the coordinate values can be set in the Site Location dialog box. All elements in the project are then positioned relative to this real-world site location.

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Find the smallest positive integer divisible by every positive integer less than or equal to ten.

please could you explain the method to me... i'm pretty confused

Answers

2520. you just have to find the least common multiple of 1 through 10. it must be even, end in 0, and divisible by all other integers. the lcm of 1 through 6 is 60 (which is pretty easy to find). the lcm of 1 through 7 is 420 (60x7). the lcm of 1 through 8 is 840 because 420/8=52.5, so you multiply by 2 to get an integer. by this same logic, you get 2520 for one through 9 and since it is a multiple of 10 you are done.

What is double prime called?

Answers

Double prime is called by different names as per the topics used in Mathematics :

Inches in length , second order derivative in differentiation, conjugate points, transformed coordinates etc.

As given in the question,

In Mathematics double prime is represented by ". Double prime is used to represent different types of function as per the topic.Double prime is used to represent the second derivative of the given function in differentiation.Double prime is used to represent the measure of length in inches.Double prime is also used to represent the transformed coordinates in the coordinate geometry.Sometimes double prime also represents the conjugate points.It also represents the number of arc seconds in the measure of any angle.

Therefore, the double prime is known by many names such as inches in length, second order derivative, conjugate points, transformed coordinates etc.

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How do you find the equation of the line of best fit?

Answers

A line of best fit can be described by the equation y=mx+b, where m denotes the slope and b the y-intercept. For a better understanding of the idea of approximating the equation of a line of best fit and making predictions, we will look at two examples that show a scatter plot with a line of best fit.

What is a line, exactly?

Having only length and no width, a line is a one-dimensional figure. A line is created from a collection of points that are endlessly stretched in the opposing directions.

                  A two-dimensional plane's two points serve as its determining factors. Collinear points are two points that are located on the same line.

What is the equation for a straight line?

. A straight line has the equation y=mx+c, where c is the height at which the line crosses the y-axis, also known as the y-intercept, and m is the gradient.

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What is the exponential form of 12?

Answers

Exponential form of 12 is 2. 2. 3. It is based on the prime factorization of the number.

Exponential form is a mathematical operation written as [tex]a^{n}[/tex] involving the base a and an exponent n. In the case where n is a positive integer, exponentiation corresponds to repeated multiplication of the base, n times.

[tex]a^{n}[/tex] =  a × a × a.... n times

In order to write the exponential form we have to write the prime factorization of that number. Prime factorization of the number is that number written as a product of prime numbers or as a product of powers of prime numbers. The exponential form is an easier way of writing repeated multiplication involving base and exponents.

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Which expression is equivalent to the given expression?

A.
B.
C.
D.

Answers

Answer:

I believe the answer is D

Answer:

  D.  (2x +1)(x -6)

Step-by-step explanation:

You want the expression that is equivalent to 2x² -11x -6.

Choices

There are a couple of ways to go at this. One way is to eliminate the answers that make no sense: A and C. We say these are nonsense because they have an overall factor of 2. The coefficient -11 is not a multiple of 2, so there cannot be such a factor.

If you were to examine the remaining choices (after eliminating A and C), you would find the x-term of the product to be ...

  B: 2x(-2) +3(x) = -4x +3x = -x

  D: 2x(-6) +1x = -12x +x = -11x . . . . . the expression we're looking for

Factors

If you were to factor this equation, you would look for factors of 2·(-6) = -12 that have a sum of -11. Of course, those are -12 and 1. This means we can rewrite the equation as ...

  2x² -11x -6 = 2x² -12x +x -6

  = 2x(x -6) +1(x -6) . . . . . . . factor by grouping (pairs of terms)

  = (2x +1)(x -6) . . . . . . . . . . matches choice D.

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How many times would you expect to roll a 5 if you rolled a fair die 300 times? Round your answer, if needed.

A.
0.167

B.
50

C.
17

D.
33

Answers

The  number of times you would expect to roll a 5 if you rolled a fair die 300 times is B. 50.

How to find the number of time to rolled a fair die?

We should note that that a fair die has a  six sided cube and the number that is on the die faces start from 1 to 6 .

Since each of the die  faces consists of a probability of 1/6 now let find the number of times to roll a die.

Expected number of times = 300 × 1/6

Expected number of times = 50

Therefore we can conclude that the expected number of time to rolled the die is B. 50 times.

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What are the rules for substitution?

Answers

The rules for substitution are, first simplify the given equation, solve one of the equations for any unknown value, substitute the step 2 solution in another equation, solve the new equation, and finally solve the equation to find the second variable.

The substitution method is the algebraic method to solve different linear equations. In this method, the value of one variable from either of the equation is substituted in the other equation.

The following steps of rules are used to solve an equation by substitution method:

Step 1. Simplify the given equation by removing the parenthesis.

Step 2. Solve one of the equations for any unknown value.

Step 3. Substitute the step 2 solution in the other equation.

Step 4. Now solve the equation which gets from step 3 obtained using elementary arithmetic operations.

Step 4. Finally, solve the final equation for the second variable.

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what is the diameter of the semi circle whose perimeter is 54​

Answers

Perimeter of a semi circle = ñr + d(2r),ñ=22/7,r=?, d=2r

54=22/7 × r +2r

54=3.142r +2r

54=5.142r

r=54/5.142

r=10.5

d=2r

d=2×10.5017

d=21.00cm

which quadrant does the point (2, 3) lie?A I B IIC III D III

Answers

The quadrant of the given point (2,3) is given A I ( that is first quadrant ).

As given in the question,

Given point is equal to :

Point ( 2, 3 )

Conditions of the quadrant in the coordinate plane is given by :

Let ( x ,y ) be the coordinates in the coordinate plane.

In the first quadrant :  ( x , y ) both x and y are positive.

In the second quadrant :  ( -x , y )  x is negative and y is positive.

In the third quadrant :  ( -x , -y ) x is negative and y is negative.

In the fourth quadrant :  ( x , -y )  x is positive and y is negative.

Here in the given point ( 2,3 ) both x and y are positive.

Given point lies in the first quadrant.

Therefore, the quadrant of the given point (2,3) is equal to A I ( that is first quadrant ).

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HELP PLS RIGJT NOW solve systems of linear Equations

Answers

Answer: (5, -2)

Step-by-step explanation:

They give you two equations with two variables. You can solve this using elimination or substitution. However, it seems as though the problem wants you to do it through elimination. On the right, you have the equation

    6x + 10y = 10

+  -6x - 24y = 18

After add these equations, you get -14y = 28. By dividing both sides by -14, you get y = -2. You can plug y = -2 back into either one of the original equations, and solve for x.

x = 5.

So your answer is (5, -2)

use pascal’s triangle to expand (3s+2)^5

Answers

The  pascal’s triangle to expand (3s+2)⁵ is 243s⁵ +810s⁴ + 1080s³ + 720s² + 240s + 32.

What is the expanded form of an expression?

Expanded form, also known as expanded notation, is a method of writing numbers that allows you to see the math value of individual digits. When numbers are separated into individual place values and decimal places, a mathematical expression can be formed.

Most people are introduced to Pascal's triangle via a seemingly arbitrary set of rules. Begin with a 1 on top and 1s running down both sides of a triangle. Each new number is located between and below two other numbers, and its value is the sum of the two numbers above it. The theoretical triangle is infinite and continues indefinitely downward, but only the first six lines are shown in figure 1. More rows of Pascal's triangle are shown in the article's final figure. Another way to look at the triangle is to imagine the first line as an infinite sequence of zeros with the exception of a single 1.Add every adjacent pair of numbers and write the sum between and below them to get successive lines. Pascal's triangle is the non-zero part.

Pascal 's triangle is

1

1,1

1,2,1

1,3,3,1

1,4,6,4,1

1,5,10,10,5,1

The expanded form of (3s+2)⁵ is

= 1×(3s)⁵×2⁰ + 5×(3s)⁴×2¹+ 10×(3s)³×2² +10×(3s)²×2³ + 5×(3s)¹×2⁴+ 1×(3s)⁰×2⁵

=243s⁵ +810s⁴ + 1080s³ + 720s² + 240s + 32

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A movie studio keeps 240 dresses in its wardrobe for historical films. Three-fifths of them can be used for movies that take place in the 1700s and 15% of them can be used for movies in the civil war era.
What percent of the dresses are for films set in the 1700s or during the civil war era? Explain how you found your answer

Answers

The percent of the dresses that are for films set in the 1700s or during the civil war era is; 75%

How to find the percentage?

Percentage is normally calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by the expression; Percentage = (value / total value) * 100%

Now, we are told that;

Number of movie dresses kept = 240 dresses

Fraction used for  movies that take place in the 1700s = 3/5

Percentage used for movies in the civil war era = 15%

Thus;

Number of dresses in the 1700 = 3/5 * 240 = 144

Number of dresses for the civil era = 15% * 240 = 36

Thus;

Total for civil era and in the 1700s = 144 + 36 = 180

Thus;

Percentage for either period = 180/240 * 100% = 75%

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help me with this please and thank you

Answers

Answer:

4, 1, 2, 3

Step-by-step explanation:

let x = cost of 1 bar

cost of 75 bars = $65

cost of one bar => 75/75 = $65/75

x = $0.87

Answer:

4.  c = $0.97 rounded to the nearest hundredth

1.  Let c = cost of one bar

[tex]\textsf{2.} \quad 75c=\$65[/tex]

[tex]\textsf{3.} \quad \dfrac{75}{75}c=\dfrac{\$65}{75}[/tex]

Step-by-step explanation:

Step 1

Define the variable:

Let c = cost of one bar

Step 2

Given that one box of 75 Toblerone chocolate bars costs $65:

[tex]75c=\$65[/tex]

Step 3

To find the cost of one Toblerone chocolate bar, divide both sides of the equation by 75:

[tex]\dfrac{75}{75}c=\dfrac{\$65}{75}[/tex]

Step 4

Simplify both sides of the equation and round the solution to the nearest hundredth:

c = $0.97 rounded to the nearest hundredth

How do you describe the end behavior of the graph if the degree is odd and the leading coefficient is positive?

Answers

The end behavior of a graph with an odd degree and a positive leading coefficient is that the graph will tend to increase infinity as x approaches positive infinity and decrease to negative infinity as x approaches negative infinity.

This end behavior of a graph is due to the fact that when the degree is odd, the leading coefficient acts as a multiplier for the highest degree term, making its contribution to the graph’s y-value the largest and most dominant. For example, if the equation of the graph is y = 4x^3 + x^2 – 7x + 5, then the end behavior of the graph will be increasing to positive infinity as x approaches positive infinity and decreasing to negative infinity as x approaches negative infinity. To calculate this, we can use the equation y = 4x^3. When x = 1000, y = 4,000,000,000. As x increases, y will continue to increase to positive infinity. When x = -1000, y = -4,000,000,000. As x decreases, y will continue to decrease to negative infinity.

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PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

4

Step-by-step explanation:

For this question, the x represent the question mark.

8 + (-4) = x

Since positive plus negative equals negative, we subtract.

8 - 4 = x

x = 4

let’s say they go to war, each blue can hurt one green, how many unharmed green are left? those 4 blue ones hurt 4 of the 8 green ones, leaving 4 left over

what number should be added to 8000 to make it a perfect square

Answers

Answer:

100 should be added as 8100 is square root of 90 ...

If f(x)=4-x^2 and g(x)=6, which expression is equal to (g-f)(3)

Answers

The value of the function (g - f)(x) = 6 - 4 + x² at x = 3 will be 11.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 4 - x² and g(x) = 6

The function (g - f)(x) will be given as,

(g - f)(x) = 6 - 4 + x²

(g - f)(x) = 2 + x²

The value of the function (g - f)(x) at x = 3 will be give as,

(g - f)(x) = 2 + (3)²

(g - f)(x) = 2 + 9

(g - f)(x) = 11

The value of the function (g - f)(x) = 6 - 4 + x² at x = 3 will be 11.

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Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of
12

ft.
3
12

ft.
3
. Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of
16

ft.
3
16

ft.
3
. What are the widths of Kyle and Myla's boxes? Explain how you know.

Answers

The widths of Kyle and Myla's boxes are both 2ft respectively.

How to calculate the width of the storage boxes?

For Kyle;

The volume of his storage box = 12ft³

The length of the box = 2ft

The height of the box = 3ft

The width of the box = ?

But volume of a box = length×width×height

12 = 2×3×width

make width the subject of formula;

Width = 12/6 = 2 ft

For Myla;

The volume of his storage box = 16ft³

The length of the box = 2ft

The height of the box = 4ft

The width of the box = ?

But volume of a box = length×width×height

16= 2×4×width

make width the subject of formula;

Width = 16/8 = 2 ft

Therefore, the width of the both boxes are the same in measurement.

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Suppoe you have $5000 to invet, and you want to earn $1000 imple interet in 5 year. What i the lowet interet rate that will allow you to do thi?

Answers

Answer:

4%

Step-by-step explanation:

[tex]I=Prt \\ \\ 1000=5000(r)(5) \\ \\ 1000=25000r \\ \\ r=0.04=4\%[/tex]

Prove the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus. Find the slope of ef and gd.

Answers

The slope of ef and gd can be found by using the formula: slope = (y2 - y1) / (x2 - x1) where ef = (x1, y1) and gd = (x2, y2) are the coordinates of the points e and g.

Isosceles Trapezoid Form A Rhombus

A rhombus is a quadrilateral with all sides equal in length. To prove that the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus, we can use the following properties of an isosceles trapezoid:

       - The two bases (the parallel sides) are congruent.

       - The two legs (the non-parallel sides) are congruent.

       - The diagonals of the trapezoid bisect each other.

Using these properties, we can see that:

       - The midpoints of the legs are congruent, since the legs are congruent.

       - The midpoints of the bases are congruent, since the bases are congruent.

       - The segments joining the midpoints of the legs and the bases are congruent, since they are both the same distance from the midpoint of the bisected diagonal.

Therefore, the segments joining the midpoints of the sides of an isosceles trapezoid are congruent, and since they are congruent they form a rhombus.

        The slope of ef and gd can be found by using the formula: slope = (y2 - y1) / (x2 - x1) where ef = (x1, y1) and gd = (x2, y2) are the coordinates of the points e and g.

Since the slope of the line perpendicular to the diagonals of a rhombus is always opposite reciprocal, the slope of ef and gd are opposite reciprocal, which means:

the slope of ef = -1/slope of gd.

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write 1.1% as a decimal number​

Answers

Answer:

0.011

Step-by-step explanation:

To convert a percentage into a decimal, simply divide by 100;

Some examples are:

1% = 0.01

5% = 0.05

10% = 0.1

50% = 0.5

N.B. finding a percentage of a number is multiplying by the decimal form, so, e.g. 1.1% of 1000 is:

1000 × 0.011 = 11

Answer:

0.011

Step-by-step explanation:

To convert a percentage to a decimal, you must divide the percentage by the number 100.

Therefore, 1.1% / 100 = 0.011.

(If the question was the other way around and you wanted to turn a decimal into a percentage. All you have to do is the opposite. When you have a decimal multiply it by 100 to get a percentage.)

Hope this helped you!

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show that if A has n linearly independent eigenvectors, then so does A^T. If A has n linear independent eigenvectors, complete the statements below based on the Diagonalization Theorem. A can be factored as ____ The ____ of matrix P are n linearly independent ______D is a diagonal matrix whose diagonal entries are_____ (1 point) compute the following probabilities for the standard normal distribution z. a. p(01.25)= HELPPPPPPPP!!!!!!!!!!!!! Answer this please what best explains the rapid rise in the popularity of rock music? identify the machine that always initiates the communication between the dhcp server and the client in lease negotiation One method of meeting the extra electric power demand at peak periods is to pump some water from a large body of water (such as a lake) to a reservoir at a higher elevation at times of low demand and to generate electricity at times of high demand by letting this water run down and rotate a turbine (i. E. , convert the electric energy to potential energy and then back to electric energy). For an energy storage capacity of 5 10^6 kWh, determine the minimum amount of water that needs to be stored at an average elevation (relative to the ground level) of 75m. 2. 45 x 10^10kg 24. 5 x 10^10kg 1. 212 x 10^10kg 0. 245 x 10^10kg mitochondrial membranes commonly include covalently bound carbohydrate moieties. true or false lauren has just finished a cross-country skiing workout and is looking for a snack to recover her energy stores. which of the following snacks would work best for her needs? How does physical activity decrease the risk of CVD? a. It increases the concentration of VLDLs in the blood b. It enhances the storage of glucose as glycogen in muscle, liver, and adipose tissue. c. It favors the development of fat tissue over lean tissue. d. It reduces the concentration of HDLs in the blood Oe. It stimulates the development of new coronary arteries to nourish the hear ve takes 3.50 s to complete 8.00 complete oscillations, what is the period of the wave? A. 0.438 s B. 4.50 s C. 2.29 s PQ and QR are 2 sides of a regular 12-sided polygon Kitchenaid will discontinue the bisque color for its dishwashers due to reports suggesting it is not popular west of the Mississippi unless more than 30% of its customers in states east of the Mississippi prefer it to make up for lost sales elsewhere). As part of the decision process, a random sample of 500 customers east of the Mississippi is selected and their preferences are recorded. of the 500 interviewed, 185 said they prefer the bisque color. a. (3 pts) Define the parameter of interest in words and notation. b. (4 pts) state the null and alternative hypotheses in words with context. C. (2 pts) Let's perform the hypothesis test nonparametrically. Complete the code below to simulate data under the assumption of the null hypothesis by replacing the question marks with the appropriate number of simulations and the appropriate number of observations to resample. Give the histogram of the null distribution. The actual diameter of uranus is 31,250 miles. in a scale drawing of the solar system, the diameter of uranus is 125 centimeters.what scale was used to make the model? carter most often criticized other governments worldwide for ______. miss lucy wants her students to have decent lives. according to the novel, what is a decent life? (a) [8 points] Give a recursive algorithm for nding the sum of the rst n odd positive integers.(b) [10 points] Give a recursive algorithm for nding n! mod m whenever n and m are positive integers.(c) [12 points] Devise a recursive algorithm for computing n2 where n is a nonnegative integer, using the fact that (n + 1)2 = n2 + 2n + 1. Then prove that this algorithm is correct. Sal's pet store only sells lizards and birds. Sal currently has 16 birds and 18 lizards available for sale. Six ofthe birds and 14 of the lizards are male. What is the probability that a randomly selected pet is a lizard given that it is a female? Which of the following statements concerning volcanic risks or volcanic impacts is FALSE? Pyroclastic flows are more commonly associated with subduction zone volcanism, than with volcanism along spreading zones. O It is the fine, silica-rich ash particles that are ejected high into the stratosphere that allow violent volcanic eruptions to affect global climate. Far more people have died from the indirect impacts of volcanoes on climate than directly from volcanic lava, lahar, or pyroclastic flows. Although pyroclastic flows are more violent than lahar flows, lahar flows may reach populations that live further from the volcano. A violent volcanic eruption in a tropical location can affect more of the Earth's ecosystems than a violent eruption in a high latitude area. Calculate the angular distance (shortest distance) between the two locations given in A-F. In other words, how far apart are the given locations in degrees, minutes? Remember: 1 = 60 minutes, and 1 minute = 60 seconds. Always be mindful of what hemisphere you are in and when you have to cross hemispheres. Your answer will be an angular measurement with no cardinal direction. When typing your answers, be sure to enter a number in every box provided. If needed, type a "0" instead of leaving a box blank. 1. 10N and 10S 2. 10E and 15E 3. 1030'S and 1030'N 4. 5515'W and 12130'E 5. 6630'S and 90S 6.16345'W and 12115'W For specified limits for the maximum and minimum temperatures the ideal cycle with the lowest thermal efficiency is 1. Camot 2. Stirling 3. Otto 4. Ericsson 5. All same