Final answer:
Chris will have $877.94 in his account after 5 years.
Step-by-step explanation:
To calculate the future value of an investment with compound interest, we can use the formula:
Future Value = Principal Amount × (1 + Interest Rate/Number of Compounding Periods)(Number of Compounding Periods × Number of Years)
Given that Chris invests $800 into an account with a 2.2% interest rate compounded quarterly, the formula becomes:
Future Value = $800 × (1 + 0.022/4)(4 × 5)
Plugging in the values, we can calculate:
Future Value = $800 × (1 + 0.0055)20 = $877.94