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Juan invests $750 in an account paying 5.2% interest compounded monthly. After 3 years, Juan will have approximatelyGroup of answer choices$990$876.32$1010$950

Question

Juan invests $750 in an account paying 5.2% interest compounded monthly.

After 3 years, Juan will have approximately:

  • $990
  • $876.32
  • $1010
  • $950
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Solution

To solve this problem, we need to use the formula for compound interest, which is:

A = P(1 + r/n)^(nt)

where:

  • A is the amount of money accumulated after n years, including interest.
  • P is the principal amount (the initial amount of money).
  • r is the annual interest rate (in decimal form, so 5.2% becomes 0.052).
  • n is the number of times that interest is compounded per year.
  • t is the time the money is invested for in years.

In this case, P = $750, r = 0.052, n = 12 (since interest is compounded monthly), and t = 3.

Substituting these values into the formula, we get:

A = 750(1 + 0.052/12)^(12*3)

Now, we just need to calculate the value of A.

A = 750(1 + 0.004333333)^(36) A = 750(1.004333333)^36 A = 750 * 1.181136548 A = $885.852411

So, Juan will have approximately 885.85after3years.Theclosestanswertothisis885.85 after 3 years. The closest answer to this is 876.32.

This problem has been solved

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