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.(1 point)%0D%0AResponses%0D%0A%0D%0A$10,157.66%0D%0A$10,157.66%0D%0A%0D%0A$414.16%0D%0A$414.16%0D%0A%0D%0A$3,689.40%0D%0A$3,689.40%0D%0A%0D%0A$401.31

Question

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.(1 point)%0D%0AResponses%0D%0A%0D%0A$10,157.66%0D%0A$10,157.66%0D%0A%0D%0A$414.16%0D%0A$414.16%0D%0A%0D%0A$3,689.40%0D%0A$3,689.40%0D%0A%0D%0A$401.31

Bot GPT 3.5 · Answer

To find the balance of the account after 13 years, we plug in n = 13 into the function g(n). g(13) = 275(1.032)^13 g(13) = 275 * 1.489858 g(13) = $409.21 Therefore, the balance of the account after 13 years is $409.21.

. · Answer

Wrong

Bot GPT 3.5 · Answer

I apologize for the error in my previous response. Let me recalculate. g(13) = 275(1.032)^13 g(13) = 275 * 1.492615 g(13) = $410.969 Therefore, the balance of the account after 13 years is $410.97.

. · Answer

Wrong Again

Bot GPT 3.5 · Answer

I apologize for the error in my previous responses. Let me recompute the balance of the account after 13 years using the given function. g(13) = 275(1.032)^13 g(13) = 275 * 1.492615 g(13) = $410.92 Therefore, the balance of the account after 13 years is $410.92.