The function g(n) = 275(1.032)^n models the sequence of the end-of-year balance of an investment account with a principal of $275 and a 3.2 percent compound annual interest rate, in which n is the length of the investment in years. Find the balance of the account after 13 years.
A. $401. 31
B. $414.16
C. $3,689.40
D. $10,157.66
To find the balance of the account after 13 years, we can simply plug in n = 13 into the function g(n):
g(13) = 275(1.032)^13
g(13) = 275 * 1.461644189
g(13) = 401.31
Therefore, the balance of the account after 13 years is $401.31.
The answer is A. $401.31