Final answer:
The amount in the account after 5 years will be $1,408.75.
Step-by-step explanation:
To calculate the amount in the account after 5 years, we can use the simple interest formula: A = P(1 + rt), where A is the amount, P is the principal (initial deposit), r is the interest rate (in decimal form), and t is the time (in years).
In this case, the principal is $1,150, the interest rate is 4.5%, and the time is 5 years.
Substituting these values into the formula, we get:
A = $1,150(1 + 0.045 * 5)
Simplifying the equation:
A = $1,150(1 + 0.225)
A = $1,150(1.225)
A = $1,408.75
So, there will be $1,408.75 in the account after 5 years if no deposits or withdrawals are made.