Answer:
Step-by-step explanation:
The formula for this is
[tex]A(t) = P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount at the end of this whole mess, P is the initial investment, r is the interest rate as a decimal, n is the number of times the compounding is done per year, and t is the number of years. Filling in accordingly:
[tex]A(t)=5000(1+\frac{.07}{4})^{(4)(10)}[/tex] which simplifies a bit to
[tex]A(t)=5000(1+.0175)^{40[/tex] and a bit more to
[tex]A(t)=5000(1.0175)^{40}[/tex] Take care of the exponent first to get
A(t) = 5000(2.001597343) and multiply through to get
A(t) = 10,007.99
Answer:
$10048.31
Step-by-step explanation:
An elevator is traveling underground at a constant rate. The equation y= -2x - 10 can be used to represent this situation, where y is the position of the elevator underground in feet and x is the number of seconds the elevator has been traveling Which statement best describes the position of the elevator, given this equation?
O From a starting position of 2 feet underground, the elevator is descending 10 feet per second
O From a starting position of 10 feet underground, the elevator is descending 2 feet per second
O From a starting position of 2 feet underground, the elevator is ascending 10 feet per second
O From a starting position of 10 feet underground, the elevator is ascending 2 feet per second
4 is correct
reason is because the number next to x is the constant number and the end number is where you started
Find the value of x. Everything is in the photo.
Answer:
27
Step-by-step explanation:
Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.
Finding angles of the triangle:
<WYX = <XYZ - <WYZ = 180 - 4x
<XWY = <XWV - <VWY = 180 - 6x
Using the sum of angles in a triangle and substituting these values in:
180 = <X + <WYX + <XWY = 90 + (180 - 4x) + (180-6x) = 450 - 10x
270 = 10x
27 = x
We are done! I hope this helps! :)
WILL GIVE BRAINLIEST
just need answer:)
a(x+b)=c+d
Solve for x. Step by step.
Answer:
x= (c+d-ab)/a
Step-by-step explanation:
ax+ab=c+d
ax=c+d-ab
x= (c+d-ab)/a
Simplify the following. -(3z)2
Answer:
the answer is ; -6z
Step-by-step explanation:
6. Determine the number of solutions for each of the equations below. Be sure to
justify your conclusions. *
(z – 8)2 = -1
A. one solution
B. infinitely many solutions
C.no solution
D. x = 9
Answer:
C. no solutionStep-by-step explanation:
Determine the number of solutions for each of the equations below. Be sure to
justify your conclusions. *
(z – 8)2 = -1
A. one solution
B. infinitely many solutions
C.no solution
D. x = 9
Given the expression;
(z – 8)^2 = -1
we are to find the nature of the solution;
Take the square root of both sides
(z – 8)^2 = -1
√(z – 8)^2 = √-1
z- 8 = √-1
Note that √-1 will give a complex number i to have;
z = 8 ± i
This therefore shows that the equation has no real solution.
The population of a certain country since 1990 can be approximated by f(t)=0.008t2+2.1t+175 where f(t) is the population in millions and t represents the number of years since 1990. Find the average rate of change in the country's population between 1990 and 2010. Round to 1 decimal place.
Answer:
[tex]\frac{f(20)-f(0)}{20-0} = \frac{220.2-175}{20} = 2.26[/tex]
Step-by-step explanation:
as with all functions f(t), the average rate of change on [a.b] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
If a turkey takes two hours and forty-five minutes to cook, and you place it in at 3:30, what time will it be ready.
Answer:
If a turkey takes two hours and forty-five minutes to cook, and you place it in at 3:30. It will be done at 6:15
Answer:
It will be ready at 6:15
Step-by-step explanation:
So you've got 2:45 for it to cook and it's been placed at 3:30. You can put it simply like:
2:45+3:30=x
x would represent the unknown time, all you need to do is add.
It's 5:75, but an hour only goes to 60 minutes and you've gone to 75.
You have to subtract 60 from the minute marker and add an hour:
5:75
-60
6:15
"select all the numbers that are solutions to the equation x^3=27"
The x = ∛27 and x = 3 are solution to the equation x³=27 option (B) and option (C) are correct.
What is a cube root?It is defined as the sum of two or more numbers. The original number is obtained by multiplying the cube root of a number three times; for example, the cube root of x is z.
We have equation:
x³ = 27
Taking cube root both side
∛x³ = ∛27
x = ∛27
x = 3
Thus, the x = ∛27 and x = 3 are solution to the equation x³=27 option (B) and option (C) are correct.
Learn more about the cube root here:
brainly.com/question/12726345
#SPJ2
Tommy is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He notices that 1 over 4 bucket of nuts fills 2 over 3 of the barrel.
Part A: Write and solve an equation to find the amount of nuts that will fill the entire barrel. Show your work. (8 points)
Part B: Explain your answer in words. (2 points)
Answer:
3/8 bucketStep-by-step explanation:
Given that 1/4 bucket of nuts fills 2/3 of the barrel
PART A
To find the amount of nuts that fills entire basket we can put this as:
1/4 bucket → 2/3 barrelx bucket → 1 barrelUse cross-multiplication to find the value of x:
x×2/3 = 1×1/4x = 1/4 ÷ 2/3x = 1/4×3/2x = 3/8 bucketPART B
Using the bucket to barrel ratio to solve the problem. Having the number of required buckets as x and considering full barrel as 1 helps to find the value of x.These points are linear. Find the slope.
"Only one remains." Ryan signals to his brother from his hiding place.
Matt nods in acknowledgement, spotting the last evil robot.
"34 degrees." Matt signals back, informing Ryan of the angle he observed between Ryan and the robot.
Ryan records this value on his diagram (shown below) and performs a calculation. Calibrating his laser cannon to the correct distance, he stands, aims, and fires.
To what distance did Ryan calibrate his laser cannon?
Do not round during your calculations. Round your final answer to the nearest meter.
Answer:
168 m
Step-by-step explanation:
What is the volume of the following cylinder?
A.) 1.695.6 cm 3
B.) 565.2 cm 3
C.) 06.782.4 cm
D.) 282.6 cm 3
Answer:
A
Step-by-step explanation:
thanks
45% of a number is 180
Step-by-step explanation:
45% of number = 180
=> 100% of number = 180 * (100/45) = 400.
Hence the number is 400.
Question 1 (5 points)
Saved
(01.01 LC)
Which of the following is a rational number? (5 points)
square root of 2, square root of 3, square root of 4, and square root of 5
Question 1 options:
1)
square root of 2
2)
square root of 3
3)
square root of 4
4)
square root of 5
Answer:
Square root of 4 is ans
Step-by-step explanation:
Answer:
4) square root of 4
Step-by-step explanation:
Suppose a publishing company estimates that its monthly cost is C(x) = 600{x^2} + 300xC(x)=600x 2 +300x and its monthly revenue is R(x) = - 0.4{x^3} + 700{x^2} - 600x + 500R(x)=−0.4x 3 +700x 2 −600x+500, where x is in thousands of books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
Answer:
the answer is A,
P(x) = -0.4x³+100x²-900x+500
Step-by-step explanation:
monthly cost:
[tex]c(x) = 600x {}^{2} + 300x[/tex]
monthly revenue:
[tex]r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500[/tex]
profit function:
[tex]p(x) = r(x) - c(x)[/tex]
[tex]p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)[/tex]
i) remove the first bracket
[tex]p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)[/tex]
ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x[/tex]
iii) collect like terms
[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500[/tex]
iv) simply the like terms
[tex]p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500 [/tex]
Kesha it’s plain to rent a van for a trip to Mt.rainier two of her friends each went to the same type of van from the same car rental company last week
Answer:
a
Step-by-step explanation:
What is the product of 10 and 3/4
In the parallelogram below,
z = [ ? ]°
How long will it take to pay off 47,538 with only 4,782 per month?
Please HELPPPP
Answer:
9.9 months not counting mortgage or any other factors
Step-by-step explanation:
Round 5.096 to the nearest tenths
Answer: Rounded to the nearest tenths would be 5.1
please need help on this question
Answer:
..
Step-by-step explanation:
If 9y – 5 = 22, find the value of 2y.
Answer:
I want questions and answers
Step-by-step explanation:
Step-by-step explanation:
9y-5=22
9y=22+5
y=27
9
y=3
now,
2y=2×3=6
hope it helps.
plEASE HELP ME PEOPLE HUMPTH OK ILL SAY IT PEOPLE WANT MONEY TO ANSWER PROBLEMS HERE If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe
Answer:
No, none of the number need to be 48 for the mean to be 48. To get a mean, you add up all the number and divide it by the amount of numbers.
Example:
the mean of 10, 79, 42, 88, 19, and 50 is 48, but the actual number 48 was not part of the set.
10 + 79 + 42 + 88 + 19 + 50 = 288
288 ÷ 6 = 48
(b) x - 4x2 + x + 6
Answer:
bx-4x^2+x+6
Step-by-step explanation:
Aaron made a $400 purchase using his credit card. The credit card has a simple interest rate of 12% each year. How much will Aaron owe in total at the end of the year?
Answer: 448 dollars
=============================================
Work Shown:
P = 400 is the balance
r = 0.12 is the decimal form of the interest rate
t = 1 is the number of years
Use those values to get the simple interest to be
i = P*r*t
i = 400*0.12*1
i = 48
The amount of interest charged is $48
Add this onto the balance of 400 dollars and the total amount Aaron owes is P+i = 400+48 = 448 dollars.
how do i solve
- 4 - 4x = -8
Answer:
x=1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
I hope this helps. In this case -4+-4x is -8 so then u know it's 1 because 2 negatives equals a negative and 4+4 is 8 all I did was change change the subtraction to addition if that make sense khan academy has some good video on integers.
Solve the system of equations below by graphing both equations with a pencil
and paper. What is the solution?
y=-2x + 4
y = x-2
A. (-2,-4)
B. (2,0)
C. (-1,-3)
D. (1,-1)
Answer:
B (2,0)
Step-by-step explanation:
The solution of the system is (2, 0).
What is the system of equations?Simultaneous equations are any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is the simultaneous equation.
Given information:
The system of equations,
y = -2x + 4
y = x- 2.
To find the solution to the system of equations, find the intersection points of the equations.
As per the graph given in the attachment below.
So, the intersection point is (2, 0).
Therefore, the point is (2, 0).
To learn more about the system of equations;
brainly.com/question/13729904
#SPJ7
Derek has 4 shirts, 7 pairs of pants, and 3 blazers. How many possible outfits can he make?
Q5)
DES
ABCD is a trapezium. Lines AB and DC are parallel to each other.
GRADI
B
Find the values of x and y.
5x
(4y - 12º)
(4x -- 9°)
(2y
D
С
Diagram not accurately drawn
5x + 4 - 12 + 4x - 9 + 2y=360