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.
To find the balance of the account after 13 years, we can plug n=13 into the function g(n) and solve for the balance:
g(13) = 275(1.032)^13
g(13) = 275 * 1.4869597273
g(13) = 409.638175
Therefore, the balance of the account after 13 years is approximately $409.64.