Question
Jan Villaroel
Topic: Mathematics Posted 1 year ago
If you invest $7500 at 3 1/4 % interest compounded quarterly, how much will you have in 12 yrs?

If you invest $7500 at 3 1/4 % interest compounded quarterly, how much will you have in 12
yrs?


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Koala Tutor
Aug 29, 2023
Koala Ai Support

To solve this problem, we can use the formula for compound interest:

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

Where:
A = the final amount
P = the principal (initial investment)
r = interest rate (in decimal form)
n = number of times interest is compounded per year
t = number of years

Given:
P = $7500
r = 3 1/4% = 0.0325 (3.25% expressed as decimal)
n = 4 (compounded quarterly)
t = 12 years

Plugging in the values into the formula:

A = $7500 * (1 + 0.0325/4)^(4*12)
A = $7500 * (1.008125)^48
A ≈ $7500 * 1.480
A ≈ $11,100

Therefore, you will have approximately $11,100 in 12 years if you invest $7500 at 3 1/4% interest compounded quarterly.

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