Michael has credit card debt of $75,000 that has an 12% APR, compounded monthly. The minimum payment only the requires him to pay the interest on his debt. He receives an offer for a credit with an APR of 4% compounded monthly. If he rolls over his debt onto his card and makes the same monthly payment as before, how long will it take him to pay off his credit card debt?

Answers

Answer 1

Answer: 122 months.

Step-by-step explanation: The first step is to calculate the minimum monthly payment using the debt balance of $75,000 and 12% APR compounded monthly,which = $75,000 × 12% / 12 = $750 . The second step is to use the same $750 as payment, and using a discount rate of 4%/12, calculate the number of months required to pay off the present value (PV) of $75,000 , which = 122 months.


Related Questions

Which of the number lines is the correct graph for the inequality x ≥ 9?

Answers

Answer:

graph D.

Step-by-step explanation:

The inequality that is being shown in the question means that the value of x is equal to or greater than 9. Greater values are represented as all of the values to the right of a certain number. On a number line "equal to" is represented by  a closed circle. Therefore, with this knowledge we can see that out of all of the provided options the only one that follows these set of rules would be graph D.

I have the answers i just need to know the solution on how you do 10 and 11.

Answers

Hope this helps for question 10

Sue can read 2 books in 2.5 hours while John reads 3 books in 5 hours. Compare the rates at which each child reads. Who can read faster? How do you know?

Answers

The answer I sue also plz give brainliest answer

answer this question plzzzzz

Answers

Answer:

This is my best solution for your question

Step-by-step explanation:

radius=10cm

<A0B=90°

Length of arc AB,

[tex] 10 \times \frac{\pi}{2 } = 5 \times 3.14 = 15.4cm[/tex]

[tex]perimeter \: of \: quadrant = \: 10 + 10 + 15.4 = 35.4cm[/tex]

Area of quadrant=

[tex] \frac{90}{360 } \times 3.14 \times {10 }^{2} = 78.5cm ^{2} [/tex]

y = 1/6x + 8

Identify the y intercept?

Answers

Answer:

(0,8)

Step-by-step explanation:

The y intercept it's eight

Find the H.C.F. of 40 and 60​

Answers

Answer:

it's answer is 20

Step-by-step explanation:

hope it helps you

The greatest common factor of 40 and 60 is 20.

which ordered pair lies on the graph of the function y= -2x +1

Answers

Note: You did not mention the ordered pair choices. So, I am letting you clear your concept about taking some sample ordered pairs which anyways would clear your concept.

Answer:

The ordered pairs (1/2, 0) and (0, 1) are on the graph.

The graph is also attached.

Step-by-step explanation:

Given the function

[tex]y= -2x +1[/tex]

Any ordered pair which may satisfy the equation would lie on the graph.

Let us determine the x and y-intercepts.

Determining the x-intercept

We know that the x-intercept can be determined by setting y=0, and the solving for x. so

[tex]y= -2x +1[/tex]

0 = -2x+1

-2x = -1

Divide both sides by -2

x = 1/2

Thus, the x-intercept is (1/2, 0)

Determining the y-intercept

We know that the y-intercept can be determined by setting x=0, and the solving for y. so

[tex]y= -2x +1[/tex]

y = -2(0)+1

y = 1

Thus, the x-intercept is (0, 1)

Thus, the ordered pairs (1/2, 0) and (0, 1) are on the graph.

The graph is also attached.

The ordered pairs (1/2, 0) and (0, 1) are on the graph.

Let us plug x = 0.

So,

[tex]y=-2x+1\\y=-2(0)+1\\y=1[/tex]

So the point is (0, 1).

Let us plug x = 1/2.

So,

[tex]y=-2x+1\\y=-2\left(\frac{1}{2}\right)+1\\y=-1+1\\y=0[/tex]

So the point is (1/2, 0).

Learn more about ordered pairs: https://brainly.com/question/1528681

PLEASE HELP i’ll mark brainliest it’s MULTIPLE CHOICE i also added extra points

Answers

Answer:

(-2,2)

Step-by-step explanation:

The ordered pair (2, 5) is a solution to the system of linear equations.

x + y = 7

2x - 3y = -11

True
False

Answers

Answer: True
Explanation: bc it is

Find the value
of
(3x + 3y)^2
If xy = =-2 and x^2+y^2=5​

Answers

Step-by-step explanation:

9x^2 + 9y^2 + 18xy

9(5)+18(-2)

45-36

9

Shareen walked a total of 9.52 miles in a walk-a thon. If her average speed was 2.8 miles per hour, how long did it take Shareen to complete the walk?

Answers

Answer:

t = 3.4 hour

Step-by-step explanation:

Distance to be covered by Shareen, d = 9.52 miles

The average speed of Shareen, v = 2.8 mph

We need to find the time taken by Shareen to complete the walk.

The formula for average speed,

v = distance/time

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{9.52}{2.8}\\\\t=3.4\ \text{hour}[/tex]

Hence, it will take 3.4 hour to complete the walk.

7+2x/4=5 i ll mark the brailliest​

Answers

Your expression is a little unclear, but I am assuming your expression as:

[tex]7+\frac{2x}{4}=5[/tex]

The solution would still clear your concept in anyway.

Answer:

The value of x = -4

Step-by-step explanation:

Given the expression

[tex]7+\frac{2x}{4}=5[/tex]

solving the expression

[tex]7+\frac{2x}{4}=5[/tex]

as 2x/4 =  x/2, so

[tex]7+\frac{x}{2}=5[/tex]

subtract 7 from both sides

[tex]7+\frac{x}{2}-7=5-7[/tex]

simplify

[tex]\frac{x}{2}=-2[/tex]

Multiply both sides by 2

[tex]\frac{2x}{2}=2\left(-2\right)[/tex]

simplify

[tex]x=-4[/tex]

Thus, the value of x = -4

Shelby is shopping for fruit to pack in her lunch each day this week. She's sees that grapes are on sale for $1.49/lb and pears are on sale for $1.29/lb. She decides to purchase some of each. She spends a total of $8.44 on all fruit she purchased and brought home a total of 6lbs of fruit.

Answers

Answer:

What am i supposed to be solving please give more description

Step-by-step explanation:

A scientist studies the development of brain size in mice, believing that exposure to statistics videos is related to brain development.. After having mice intensively watch statistics videos, the scientist discovers that mice have doubled the size of their brains. After running a statistical test on the difference, the scientist obtained a p-value of .04. What should the scientist conclude, assuming an a

Answers

Answer:

The conclusion of the scientist should be that the results are statistically significant and that there is a high probability that the mice brains doubled in sizes after watching the videos

Step-by-step explanation:

The complete question is as follows;

A scientist studies the development of brain size in mice, believing that exposure to statistics videos is related to brain development.. After having mice intensively watch statistics videos, the scientist discovers that mice have doubled the size of their brains. After running a statistical test on the difference, the scientist obtained a p-value of .04. What should the scientist conclude, assuming an a=.05?

Solution;

We start by forming the null hypothesis

The null hypothesis H0 here is that;

The mice have not doubled the sizes of their brains after watching the the videos

While the alternative hypothesis H1 is that the mice have double their brain sizes after watching the videos

To know what to conclude, we will need to look at the p-value obtained

The p-value we have here is 0.04 which is less than 0.05 and thus , shows the existence of a strong evidence against the null hypothesis which means we will have to accept the alternative

Hence, the conclusion of the scientist should be that the results are statistically significant and that there is a high probability that the mice brains doubled in sizes after watching the videos

!!!! PLEASEEE HELP ME, IDK WHAT TO DO PLEASE !!!!
Express cos in terms of sin.
A. ±√(1 - sin²θ)
B. 1 + sin²θ
C. sin²θ - 1
-----------------
Simplify 1/2 (-sin^2 x - cos^2 x).
A. -1 1/2
B. -1/2
C. 1/2
-----------------
Simplify tan^2 x + 1/cot^2 x + 1
A. 1/sinx
B. tanx
C. cotx

Answers

Answer:

  The first question is A.

  The second question is C.

   The thid question is B., I think i'm not quit sure sorry

Helppp mee quickkkkk pleasee Im struggling!

Answers

Answer:

y= -3/1  plus 5

Step-by-step explanation:

correct me if im wrong u can just write -3 instead of -3/1

What’s 4/5 of 3 And what’s 2/9 of 20

Answers

Answer:

4/5 of 3 = 12/5

2/9 of 20 = 40/9

Step-by-step explanation:

Answer:

1.  2.4

2. 4.444

Step-by-step explanation:

First, let's look at 4/5 of 3. We can set it up like this:

[tex]3 * \frac{4}{5}[/tex]

Next, multiply the 3 by the 4 to get this:

[tex]\frac{12}{5}[/tex]

Then, if a calculator is permitted, we get the answer of 2.4.

The next thing to do would be to repeat the steps for 2/9 of 20.

[tex]20 * \frac{2}{9}[/tex]

[tex]\frac{40}{9} = 4.444[/tex]

Hope this helps!!

- Kay :)

4 gallons= ________________ quarts *

Answers

Answer:

4 gallons=16 quarts

Step-by-step explanation:

Brainliest me pls

Have a nice day!

Answer:

16 Quarts

Step-by-step explanation:

First I figured out how many quarts are in a gallon which is 4.

Then I multiplied 4 by 4 which gives you 16.

Hope This helps! ^w^

PLS HELP will give brainliest answer both

Answers

Answer:

8 3/5

false

Step-by-step explanation:

Jess has 2 3/4 books to read for school. Jess read 1 1/4 books on Tuesday. How many more books does jess have to read

Answers

Answer:

1 1/2(simplified)

Step-by-step explanation:

subtracting 1 from 2 is one and then 1/4 from 3/4 which is 2/4 simplifying makes it 1/2

Answer:

23/4+11/4=23+11/4=34/4 more books.

Step-by-step explanation:

Please mark my answer as a brainliest. Please follow me. ❤❤❤❤

In the figure, angle K measures 45°. What is the measurement of angle C? A. 38° B. 45° C. 90° D. 98°

Answers

Answer:

B. 45°

Step-by-step explanation:

C = 90° - J as CGJ is right triangleJ = 90° - K = 90° - 45° = 45° as AKJ is right triangleC = 90° - 45° = 45°

Option B is correct

Answer:

45°

Step-by-step explanation:

wirte the fractional coefficient for 1 1/4

Answers

Here you go hung profodpe

Suppose that scores on a particular test are normally distributed with a mean of 110 and a standard deviation of 20. What is the minimum score needed to be in the top 2% of the scores on the test

Answers

Answer:

The minimum score needed to be in the top 2% of the scores on the test

is  n = 10,00,000

Step-by-step explanation:

Step(i):-

Mean of the Population = 110

Standard deviation of the Population = 20

The estimated error = 2% = 0.02

Step(ii):-

The estimated error is determined by

                        [tex]E = \frac{S.D}{\sqrt{n} }[/tex]

                       [tex]0.02 = \frac{20}{\sqrt{n} }[/tex]

               ⇒ [tex]\sqrt{n} = \frac{20}{0.02} = 1000[/tex]

Squaring on both sides, we get

                   n = 10,00,000

The minimum score needed to be in the top 2% of the scores on the test

is  n = 10,00,000

can you help me please ​

Answers

Answer:

The answers are:

2u = <10,2>-3u = <-18,-6>u+v = <11,3>3u-4v = <-9,-5>

Step-by-step explanation:

Given vectors are:

u = <5,1>

v = <6,2>

The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs

Now,

[tex]2u = 2(5,1) = (10,2)[/tex]

[tex]-3v = -3(6,2) = (-18,-6)[/tex]

Now we have to add two vectors

In order to add two vectors, their respective coordinates are added:

So,

[tex]u+v = (5,1) + (6,2)\\= (5+6, 1+2)\\=(11,3)[/tex]

And

[tex]3u-4v = 3(5,1) - 4(6,2)\\= (15,3) - (24,8)\\= (15-24, 3-8)\\=(-9, -5)[/tex]

Hence,

The answers are:

2u = <10,2>-3u = <-18,-6>u+v = <11,3>3u-4v = <-9,-5>

Factor out the coefficient of the variable.
3.4c+10.2

Answers

Answer:

1.7(2c+6)

Step-by-step explanation:

A random sample of 12 recent college graduates reported an average starting salary of $54,000 with a standard deviation of $6,000.

a. Construct a 95% confidence interval for the mean starting salary of college graduates.

a. 50188 to 57812$
b. 45,0000 to 50,000$
c. 48,000 to 60,000$
d. 50,000 to 54000$

b. The National Association of Colleges and Employers reports that the mean starting salary for 2017 college graduates is $50,516. Does your confidence interval (part a) indicate that starting salaries have significantly changed since 2017? Why or why not?

Answers

Answer: a.) $50188 to $57812

Step-by-step explanation: Confidence Interval (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± [tex]z\frac{s}{\sqrt{n} }[/tex]

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± [tex]1.96.\frac{6000}{\sqrt{12} }[/tex]

54,000 ± [tex]1.96\frac{6000}{3.464}[/tex]

54,000 ± 1.96*1732.102

54,000 ± 3395

This means the interval is

50605 < μ < 57395

With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or from 50188 to 57812$.

b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.

Can someone please help me

Answers

i believe it would be the second one not 100% sure but hope it helped! :D

Answer: B the second answer

Step-by-step explanation:

An office supply company conducted a survey before marketing a new paper shredder designed for home use. In the survey, 80% of people used the shredder were satisfied with it. Because of the high acceptance rate, the company decided to make the new shredder. Assume that 80% of all people who use it will be satisfied. On a certain day 7 customers bought the shredder.
Let x denote the number of customers in this sample of 7 who will be satisfied with this shredder. Using the binomial probabilities table, obtain the probability distribution of x and fill in the table
x 0 1 2 3 4 5 6 7
p(x)(for each number)

Answers

Answer:

Probability distribution of x

Step-by-step explanation:

Binomial Probability = N c x . (P)^x . (Q)^ n-x

N = Total trials, 7 customers here ; P = Prob of success, 0.80 satisfied here ;    x = No. of success (1....7) ; Q = Prob of fail, 0.20 not satisfied here

P (x = 1) = 7c1 (0.80)^1 (0.20)^7  = 0.00035

P (x = 2) = 7c2 (0.80)^2 (0.20)^6 = 0.0043

P (x = 3) = 7c3 (0.80)^3 (0.20)^5 = 0.0286

P (x = 4) = 7c4 (0.80)^4 (0.20)^4 = 0.1146

P (x = 5) = 7c5 (0.80)^5 (0.20)^3 = 0.2752

P (x = 6) = 7c6 (0.80)^6 (0.20)^2 = 0.3670

P (x = 7) = 7c7 (0.80)^7 (0.20)^1 = 0.2097

32/8 = 28/x

Please select the best answer from the choices provided

A: x = 4
B: x = 28
C: x = 8
D: x = 7

Answers

32/8=28/x

we multiply by x

x*32/8=28

we multiply by 8/32

x=28*8/32

8 divides by 32

x=28/4=7

D: x = 7

Answer:

D

Step-by-step explanation:

Given

[tex]\frac{32}{8}[/tex] = [tex]\frac{28}{x}[/tex] ( cross- multiply )

32x = 224 ( divide both sides by 32 )

x = 7 → D

TAKE A PIC OF PAPER WITH THE WORK AND AWNSERS I need help ASAP!!! Only 5 questions

Answers

1.

4x-5x+3-8

-x-5

2.

3x^2+8x^2-2x+7x

11x^2-5x

3.

4x+9x+2y+3y^2

3y^2+5y+13x

4.

-5x-7x-2

-5x+-7x-2

-12x-2

5.

6(3x-5)-9x

6(3(4)-5)-9(4)

6(12-5)-36

6(7)-36

6

Answer:

m

Step-by-step explanation:

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