if you invest $25,000 in an account that gets 12% annual interest compounded quarterly, how much would you have in 10 years?

What is 25000(1.03)^40 ?

76,675.968?

To calculate the future value of an investment with compound interest, we can use the formula:

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

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

For this particular investment scenario, let's plug the given values into the formula:

P = $25,000
r = 12% (0.12 as a decimal)
n = 4 (quarterly compounding)
t = 10 years

A = 25000(1 + 0.12/4)^(4*10)
A = 25000(1 + 0.03)^40

To simplify the calculation, we can first calculate the value inside the parentheses:
(1 + 0.03) = 1.03

So, our formula becomes:
A = 25000 * (1.03)^40

Calculating this equation results in:
A ≈ $93,277.84

Therefore, after 10 years, your investment of $25,000 would grow to approximately $93,277.84. Keep in mind that this calculation assumes no additional deposits or withdrawals during the 10-year period.