Question

D») 5. Carlos opens a savings account with a deposit of $1,000. The account earns

interest at a rate of 2% per year. Let A(1) denote the amount of money (in
dollars) that is in the account tyears after the account is opened. The
equation below displays the relationship between A(t) and t.

A(1) = 1,000 + 20+

Carlos will not close his account before $1,500 is present. Which of the
following intervals contains all the possible number of years after opening his
account that Carlos could close it?

Answer 1

Answer: After 25 years

Explanation:

You included no intervals as options.

Question however states that Carlos will not close his account before $1,500 is present which means that he will only close this account after the interest has accumulated to $500.

Given that the account makes $20 a year, the number of years it would take to get to $500 is;

= 500/20

= 25 years

Carlos can close the account at any interval after 25 years.