Step 1 :Define the variables where P is the principal amount which is $7500, r is the annual interest rate which is 4.5%, n is the number of times interest applied per time period which is 52 weeks in a year, and t is the time the money is invested for which is 9 years.
Step 2 :Calculate the final amount using the formula for compound interest: \(A = P \times (1 + \frac{r}{n})^{nt}\)
Step 3 :Substitute the values into the formula: \(A = 7500 \times (1 + \frac{0.045}{52})^{52 \times 9}\)
Step 4 :Calculate the value of A which gives the final amount of money in the account after 9 years.
Step 5 :The final amount of money in the account after 9 years is approximately \$11242.80.