To find the final amount of the investment after 27 years, we use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the future value of the investment
P = the principal amount (initial investment)
r = annual interest rate (as a decimal)
n = number of times that interest is compounded per year
t = number of years
In this case, Chris' initial investment (P) is $15,000, the annual interest rate (r) is 3.4% (or 0.034 as a decimal), interest is compounded quarterly (n = 4), and the investment period (t) is 27 years.
Plugging these values into the formula, we get:
A = $15000(1 + 0.034/4)^(4*27)
After evaluating the expression, we find that the final amount of the investment is approximately $39,456.23.
Chris invests $15,000 in a retirement account with an annual interest rate of 3.4%. Find the final amount of the investment after 27 years if interest is compounded quarterly. Round the answer to the nearest cent,
1 answer