1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Likurg_2 [28]
1 year ago
14

You decide that you want to purchase a Tesla SUV. You borrow \$95,000 for the purchase. You agree to repay the loan by paying eq

ual monthly payments of \$1,200 until the balance is paid off. If you're being charged 6\% per year, compounded monthly, how long will it take you to pay off the loan?
Mathematics
1 answer:
liraira [26]1 year ago
5 0

Using compound interest and a graphing calculator, it is found that it will take about 15 years for the loan to be paid off.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(0) = 95000, r = 0.06, n = 12.

Hence the value of the loan after t years is:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

A(t) = 95000\left(1 + \frac{0.06}{12}\right)^{12t}

A(t) = 95000(1.005)^{12t}

You have monthly payments of $1,200, hence the amount paid after t years is:

P(t) = 12 x 1,200t = 14400t

Then we have to solve for:

A(t) = P(t)

14400t = 95000(1.005)^{12t}

Which is solved in the graph below, meaning that it will take about 15 years for the loan to be paid off.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

You might be interested in
The manager went over the sales of mobile phones at the store and found that the mean sale was 45, with a standard deviation of
d1i1m1o1n [39]

The z-score of the sale of mobile phones on that day is 1.75

Step-by-step explanation:

The formula of z-score is z = (x - μ)/σ, where:

  • x is the score
  • μ is the mean
  • σ is the standard deviation

∵ The mean sale was 45

∴ μ = 45

∵ The standard deviation was 4

∴ σ = 4

∵ 52 mobile phones were sold on a particular day

∴ x = 52

To find z-score of the sale of mobile phones on that day substitute the values of x, μ, and σ in the formula of z-score

∵ z=\frac{52-45}{4}

∴ z=\frac{7}{4}

∴ z = 1.75

The z-score of the sale of mobile phones on that day is 1.75

Learn more:

You can learn more about z-score in brainly.com/question/7207785

#LearnwithBrainly

3 0
3 years ago
Graph the inverse function of f(x) = 2x + 4.​
motikmotik

Answer:

Step-by-step explanation:

7 0
3 years ago
A stack of 60 identical books at the book store was 135 inches tall.
koban [17]
<span>6.75 inches....................
</span>
3 0
3 years ago
Read 2 more answers
Sovle each system of equations by graphing ​
Artist 52 [7]

Answer:

this is for the first one

6 0
2 years ago
PLEASE SOLVE ASAP I WILL CROWN BRAINLIST
kupik [55]

B

To find the area you multiply width times height, here for the bigger rectangle, to find the area you multiply 7*6 and then add that with 6 * x because those are the width and height of the smaller rectangle.

Second part

I believe that Wiliam chose C because he accidentally thought that adding everything was correct. He added 7+6 to get 13 for the bigger rectangle and then for the smaller rectangle decided that to find the area you would add 6 and x.

4 0
2 years ago
Read 2 more answers
Other questions:
  • One package of blackberries costs $3. How many packages of blackberries can you buy for $15?
    8·1 answer
  • Factorize the following with step by step explaination. I will appreciate it
    8·2 answers
  • Find the slope of the line passing through each pair of points.
    14·1 answer
  • The cost, including sales tax, of a Ford Focus SE is $19,392.70. If the sales tax is 6%, find the cost of the car before the tax
    11·1 answer
  • Please help, awarding brainliest and extra points
    6·1 answer
  • I mark brainlest for anybody who answer's tis question ;-;
    9·2 answers
  • Please hurry if answer is correct i will give brainlyyyyest thx
    13·1 answer
  • Determine a series of transformations that would map Figure L onto Figure M.
    6·1 answer
  • PLZ HWELP :( :(
    14·1 answer
  • Please help!!!!!!!!!!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!