suppose you have a credit card debt of $6000. Last month, the bank charged you $55 interest on the debt. The solution to the equation 55= 6000/12 * r represents the annual interest rate in the credit card, r. Find the annual interest rate on the credit card

Answer:

Step-by-step explanation:

Let's assume that,

→ Length = 2x

→ Width = x

→ Perimeter = 30

Perimeter of rectangle formula,

→ P = 2(L + W)

Now the value of x will be,

→ P = 2(L + W)

→ 2(2x + x) = 30

→ 2 × 3x = 30

→ 6x = 30

→ x = 30/6

→ [ x = 5 ]

Then required dimensions are,

→ Length = 2x = 2 × 5 = 10

→ Width = x = 5

Hence, these are the dimensions.

Length = 10

width = 5

Given-

Perimeter =30

l=2b........................................................ i

so

P =2(l+b)

here

30 = 2(2b +b)... ... ..............         as l=2b from i

30 = 2*3b

30 = 6b

b= 5

which implies l= 2*5 --->10............................................ from i

so

Length = 10

width = 5

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Answer:

Step-by-step explanation:

Can u give more detail as to what the question is asking pease

The cost of one adult ticket is 3.6 and cost of one student ticket is 4.3

Either 4 or is the appropriate response.

Chris spends a total of 2 x + 3 dollars on x student tickets and a total of x adult tickets because each student ticket costs $ 2 and each adult ticket costs $ 3.

Because Chris spends at least $ 11 but no more than $ 14 on the tickets, the entire inequality 2 x + 3 1 can be written.

x = 4 and x = 5.5 are obtained by subtracting 3 from each side of both inequalities and then dividing each side of both inequalities by 2.

A number higher than or equal to 4 and less than or equal to 5.5 must both be integers in order for x to have a value.

Therefore, either x = 4 or x = 5.

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On solving the provided question, we can say that - the value of the given polynomials domain will be ( - infinity, 0)

The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.

domain will be ( - infinity, 0)

range = (-infinity, +infinity)

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Answer:

RM832.29

Step-by-step explanation:

Calculate PV Savings

To calculate the present value of the savings, we can use the formula:

PV = cash savings / (1 + r)^t

Where PV is the present value, r is the discount rate, and t is the number of years.

Plugging in the values given in the problem, we get:

PV = RM2,000 / (1 + 0.15)^20

= RM2,000 / 1.15^20

= RM832.29

So the present value of the savings is RM832.29.

Answer: RM25,919.89.

Step-by-step explanation:

The present value of the cash savings is the sum of the present value of each year's cash savings.

To calculate this, the formula for the present value of a single cash flow is used:

Present Value = Future Value / (1 + r)^n

Where r is the discount rate, and n is the number of years.

So, for the first year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^1 = 1739.13

For the second year's cash savings, the present value would be:

PV = 2000 / (1 + 0.15)^2 = 1510.71

This can be repeated for the remaining 18 years, and the sum of all the present values is the total present value of the cash savings over 20 years:

Total PV = 1739.13 + 1510.71 + .... + 437.66 = RM25,919.89

Therefore, the present value of the cash savings over 20 years with a 15% discount rate is RM25,919.89.

Answer:

b = -8

Step-by-step explanation:

To determine the value of b, we can use the factoring method. We can factor the expression

(5b + 16)(b + 32) as (b + 8)(5b + 16).

Setting each factor to 0, we get b + 8 = 0 and 5b + 16 = 0.

Solving for b in the first equation, we get b = -8.

Substituting this value into the second equation, we get 5(-8) + 16 = 0, which simplifies to -40 + 16 = 0.

This equation is true only when the value of b is -8. Therefore, the value of b is -8.

Answer: We can use the information given to find the number of stars in the universe by multiplying the number of galaxies by the number of stars per galaxy:

number of stars = (10 ^ 11 galaxies) x (10 ^ 11 stars per galaxy)

This is a simple arithmetic problem and we can find the solution by multiplying the numbers 10^11 and 10^11

10^11 * 10^11 = (10101010101010101010)(101010101010101010*10) = 10^(11+11) = 10^22

So, there are estimated to be 10 ^ 22 stars in the known universe.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

12a - 3b²

12(9) - 3(4)²

108 - 3(16)

108 - 48

60

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{12a - 3b^2}\\\mathsf{= 12(9) - 3(4)^2}\\\mathsf{= 12(9) - 3(4\times4)}\\\mathsf{= 12(9) - 3(16)}\\\mathsf{108 - 3(16)}\\\mathsf{= 108 - 48}\\\mathsf{= 60}\\\\\huge\text{Therefore, your answer should be: }\\\huge\boxed{\mathsf{60}}\huge\chdckmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

50/30

5/0

1.6%

Step-by-step explanation:

Answer: C. 20

Step-by-step explanation:

1 inch is equal to 2.54 cm.

So we have to divide the amount of centimeters given by how many centimeters are in an inch to find how many inches.

50.8 ÷ 2.54 = 20

Hope this helps!!! :)

On solving the provided question, we can say that - by doing the equation, we have -12 +18 = p + 7 => 6 = p + 7 => p = -1

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

-12 +18 = p + 7

6 = p + 7

p = -1

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Answer:

both are right

Step-by-step explanation:

2/5x = 14

multiply both sides by 5/2:

(5/2)(2/5)x = 14(5/2)

x = 70/2 = 35

However, dividing by 2/5 is the same as multiplying by 5/2, so you are BOTH right.  Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.

On solving the provided question, we can say that - by doing the fraction we have 3/12 = 1/4

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

balloons is 12

blew up is  1/3

friend blew up is  5

1/3*12 = 4

4+5 = 9

3/12 = 1/4

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Answer:

2(x-3)

Step-by-step explanation: 2 is being multiplied by the difference (subtraction) of x-3.

Answer: Lydia used 1/3 pound of peppers and 1/10 pound of cheese to make 3 pizzas, which means that she used 1/3 / 3 = 1/9 pound of peppers and 1/10 / 3 = 1/30 pound of cheese per pizza.

If Lydia uses the same recipe to make 1 pizza, she will need 1/9 pound of peppers and 1/30 pound of cheese. Therefore, the amount of cheese needed is 1/30 pound.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

y > 2x - 5

9 > 2(7) - 5

9 > 14 - 5

9 > 9. not a solution

9=9

Answer: Angle-Side-Angle Theorem

Step-by-step explanation:

The two triangles are shown to have congruent angles. By the Reflexive Property of Congruence, Side PM is shared and congruent between the two.

Because the angles are on either side (left and right) of the shared side, the triangles are congruent by the Angle-Side-Angle Theorem.

Answer:

The first 5 prime numbers are 2, 3, 5, 7 and 11. Their LCM is 2310

The error in the work lies in line 3 where the square root is calculated inaccurately.

The opposite of squaring an integer is finding its square root. The square root of a number can be found by looking for a number that, when squared, yields the original value.

The error is in line 3, line 4 and line 5.

The error in line 3 is inaccurate calculation of the value of square root of 4.

The error in line 4 is a mathematical calculation error.

The error in line 5 is a mathematical calculation error.

The correct answer in Line 3 is:

[tex]6 * 2 *\sqrt{5} -3\sqrt{5}[/tex]

The correct answer in Line 4 is:

[tex]12\sqrt{5} - 3\sqrt{5}[/tex]

The correct answer in Line 5 is:

[tex]9\sqrt{5}[/tex]

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Yes, the expressions S+S+S+S AND 4S as required in the task content are equivalent expressions.

It follows from the task content that the expressions given S+S+S+S AND 4S are to be compared and determine if they are equivalent or not.

Since the given expressions are; S + S + S + S and 4S.

S + S + S + S can be written by factorisation as;

S ( 1 + 1 + 1 + 1 ) = S (4)

= 4S.

On this note, it can be inferred that the two expressions given are equivalent expressions.

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Answer:

Step-by-step explanation:

You want the lengths of the segments of the hypotenuse of a right triangle when an altitude of 6 m divides the hypotenuse into parts with the ratio 1:9.

The altitude to the hypotenuse of a right triangle is the geometric mean of the parts it divides the hypotenuse into. If the shorter part is x, then the longer part is 9x, and their geometric mean is ...

  6 = √(x(9x)) = 3√x² = 3x

  x = 2 . . . . . . . divide by 3

The length of the shorter segment is 2 m; the longer one, 18 m.

Answer:

4

Step-by-step explanation:

m = Δy/Δx = (6-(-2))/(5-3) =8/2 = 4

On solving the provided question, we can say that - here in equation 10x + =4 = 2

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

the equation we have is  = 10x + =4 = 2

10x = -2

x = -1/5

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The amount of white paint used by Tamara to paint the bedroom walls is 2.125.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Total amount of paint = 8.5

Three fourths of this amount is blue paint.

Amount of blue paint = (3/4) × 8.5 = 6.375

Rest is white paint.

Amount of white paint = Total paint - Amount of blue paint

                                     = 8.5 - 6.375

                                     = 2.125

Hence the amount of white paint used to paint bedroom walls is 2.125.

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The value of side GH as shown in the parallelogram is 2 units

Parallelogram is a polygon that has four sides (quadrilateral) and opposite sides are always equal and parallel to each other

Two shapes are said to be similar if they have the same shape and the ratio of their corresponding sides are proportional. Also, their corresponding angles are equal to each other.

Parallelogram abcd is similar to parallelogram efgh, hence:

FG/BC = GH / CD

substituting:

7/21 = GH / 6

GH = 6 * 7/21 = 2

GH is 2 in

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According to the table, the Range of pools sold during this period is 8.

The range in statistics for a given data set is the difference between the highest and lowest values. For example, if the given data set is {2,5,8,10,3}, then the range will be 10 – 2 = 8.

Thus, the range could also be defined as the difference between the highest observation and lowest observation. The obtained result is called the range of observation. The range in statistics represents the spread of observations.

Range = Highest Value – Lowest Value

Range = 18 – 10

Range = 8

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Answer:

10x10x10 or 10*3......

The value of the principal investment would be = $12,500.75

A principal investment is defined as the capital amount of money that is being deposited into an account with the purpose of receiving interest for a particular period of time.

The years of investment (t) = 9 years

The annual interest rate (r) = 3.9% = 3.9/100= 0.039

The total worth of the investment (A) = $17,757.16

Then, solve the equation for P

P = A / ert

P = 17,757.16 / e(0.039*9)

P = $12,500.75

Therefore, the principal amount that is needed which can be compounded continuously to get the total amount given = $12,500.75

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The total length needed in inches will be 490.5 inches.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long The total length needed in inches will be:

= (3 ft 4 7/8 inch × 12)

Note that 1 feet = 12 inches

= (12 × 3) + (4 7/8) × 12

= (36 + 4.875) × 12

= 490.5 inches

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Answer:

g(f(x)) = 4x² - 12x + 10

Step-by-step explanation:

to find g(f(x)) substitute x = f(x) ino g(x)

g(f(x))

= g(2x - 3)

= (2x - 3)² + 1 ← expand parenthesis using FOIL

= 4x² - 6x - 6x + 9 + 1

= 4x² - 12x + 10