MATHEMATICS COLLEGE

Assume that you have a balance of $5000 on your Visa credit card and that you make no more charges. If your APR is 22% and each month you make only the minimum payment of 3% of your balance, then find a formula for the balance after t monthly payments.A) 5000(0.952217)t

B) 5000(1.011117)t

C) 5000(0.987783)t

D) 5000(1.048883)t

Can someone explain to me how to solve this please

Answers

Answer 1

Answer:

C) 5000(0.987783)^t

Step-by-step explanation:

The monthly interest rate is the APR divided by 12, so is 22%/12 ≈ 0.018333.

Each month, the previous balance (B) has interest charges added to it, so the new balance is ...

balance with interest charges = B + (22%)/12×B = 1.018333×B

The minimum payment is 3% of this amount, so the new balance for the next month is ...

balance after payment = (1.018333B)(1 - 0.03) = 0.987783B

Since the balance is multiplied by 0.987783 each month, after t payments, the balance starting with 5000 will be ...

5000×0.987783^t . . . . . . . . . matches choice C

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There are two boxes of Lego pieces. One box has 200 pieces and the other box has 115 pieces. Which of the following best describes how 4 people will divide the Lego pieces as evenly as possible?three people will get 77 pieces
One person will get 76 pieces

Three people will get 78 pieces
One person will get 77 pieces

Three people will get 79 pieces
One person will get 78 pieces

Three people will get 76 pieces
One person will get 75 pieces

Answers

The answer is C: three people will get 79 pieces and one person will get 78 pieces.
79x3=237
237+78=315
There were 315 total pieces (200+115) so it has to be C.
Hope this helps!

three people will get 79 pieces
one person will get 78 pieces
200+115=315
79x3=237+78=315

Peter baked 64 loaves of bread in three days. How many loaves did he bake each day, if he baked 3 more loaves on the second day than on the first day, and 4 more loaves on the third day than on the first day?

Answers

Answer:

Step-by-step explanation:

1st day: x

2nd day: x+3

3rd day: x+4

Equation: x+(x+3)+(x+4)=64

3x+7=64

3x=57

x=19

I hope you found this answer helpful!!!!!!(sorry if instructions aren't clear)

The image of a parabolic lens is traced onto a graph. The function f(x) = 1/4 (x+8)(x-4) represents the image. Atwhich points does the image cross the x-axis?

O (-8, 0) and (4,0)
(8,0) and (-4, 0)
O (2, 0) and (-1,0)
O (-2, 0) and (1, 0)

Answers

The image of the parabolic lens crosses the x axis at the points

(-8, 0) and (4, 0)

How to find the points where the image cross x axis

To find the points where the graph of the function crosses the x axis we need to find the values of x that make f(x) equal to zero

hence we have that

f(x) = 1/4 (x + 8) (x - 4)

0 = 1/4 (x + 8) (x - 4)

x + 8 = 0

x = -8

x - 4 = 0

x = 4

hence we can say that the image of the parabolic lens crosses the x axis at the points (-8, 0) and (4, 0)

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brainly.com/question/24079297

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Outliers existing in a data set will have the greatest impact on __________. A. the mean B. the median C. the mode D. the middle

Answers

Mean, the further the outlier the greater the mean (average)

PLEASE HELP!!!Aidan is 5.5 ft tall and casts a shadow that is 9 ft long. He notices that a nearby tower casts a shadow that is 305 ft long.
What is the height of the tower (h)?

Answers

The height of the tower (h) is approximately 186.4 feet.

What is the height (h) of the tower?

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

Given the data in the quesion;

Aidan's height = 5.5ft
length of Aidan's shadow = 9ft
height of the tower = ?
length of the tower's shadow = 305ft

We can set up a proportion to solve for the height of the tower:

Aidan's height / length of Aidan's shadow = height of the tower / length of the tower's shadow

Plugging in the values we know, we get:

5.5 / 9 = h / 305

To solve for h, we can cross-multiply and simplify:

9h = 5.5 × 305

9h = 1667.5

h = 1667.5 / 9

h = 186.4 ft

Therefore, the value of h is 186.4 feet.

Learn more about ratio here: brainly.com/question/30061012

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One normally distributed with mean value 20 in. and standard deviation .5 in. The length of the second piece is a normal rv with mean and standard deviation 15 in. and .4 in., respectively. The amount of overlap is normally distributed with mean value 1 in. and standard deviation .1 in. Assuming that the lengths and amount of overlap are independent of each other, what is the probability that the total length after insertion is between 34.5 and 35 in.

Answers

Answer:

The probability that the the total length after insertion is between 34.5 and 35 inches is 0.1589.

Step-by-step explanation:

Let the random variable X represent the length of the first piece, Y represent the length of the second piece and Z represents the overlap.

It is provided that:

$X\sim N(20,\ 0.50^(2))\nY\sim N(15,\ 0.40^(2))\nZ\sim N(1,\ 0.10^(2))$

It is provided that the lengths and amount of overlap are independent of each other.

Compute the mean and standard deviation of total length as follows:

$E(T)=E(X+Y-Z)\n=E(X)+E(Y)-E(Z)\n=20+15-1\n=34$

$SD(T)=√(V(X+Y-Z))\n=√(V(X)+V(Y)+V(Z))\n=\sqrt{0.50^(2)+0.40^(2)+0.10^(2)}\n=0.6480741\n\approx 0.65$

Since X, Y and Z all follow a Normal distribution, the random variable T, representing the total length will also follow a normal distribution.

$T\sim N(34, 0.65^(2))$

Compute the probability that the the total length after insertion is between 34.5 and 35 inches as follows:

$P(34.5<T<35)=P((34.5-34)/(0.65)<(T-\mu_(T))/(\sigma_(T))<(35-34)/(0.65))\n\n=P(0.77<Z<1.54)\n\n=P(Z<1.54)-P(Z<0.77)\n\n=0.93822-0.77935\n\n=0.15887\n\n\approx 0.1589$

*Use a z-table.

Thus, the probability that the the total length after insertion is between 34.5 and 35 inches is 0.1589.

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