Final answer:
The amount of money in the account after four years with no withdrawals or additional deposits is $6,801.92.
Step-by-step explanation:
To calculate the amount of money in the account after four years, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial deposit), r is the interest rate, n is the number of times interest is compounded per year, and t is the time in years.
In this case, the principal amount is $5,000, the interest rate is 7.5%, interest is compounded annually (n = 1), and the time is 4 years (t = 4).
Substituting these values into the formula, we get
A = 5000(1 + 0.075/1)^(1*4)
= 5000(1 + 0.075)^4
= $6,801.92.
Therefore, the amount of money in the account after four years with no withdrawals or additional deposits is $6,801.92.