Final answer:
Aiden will have $4,770 in his account at the end of two years with a 3% simple interest rate and an initial deposit of $4,500 without any additional transactions.
Step-by-step explanation:
Aiden opens a savings account with a deposit of $4,500. The account pays 3% simple interest. We want to calculate how much money Aiden will have in the account at the end of two years without making any additional deposits or withdrawals.
To calculate the total amount in a savings account with simple interest, the formula is:
A = P(1 + rt)
Where:
- P is the principal amount (the initial amount of money)
- r is the annual interest rate (in decimal form)
- t is the time the money is invested or borrowed for, in years
- A is the amount of money accumulated after n years, including interest.
If Aiden's account pays 3% simple interest, and he leaves the money for two years, the total amount of money, A, can be calculated by:
A = $4,500 × (1 + (0.03 × 2))
A = $4,500 × (1 + 0.06)
A = $4,500 × 1.06
A = $4,770
Therefore, at the end of two years, Aiden will have $4,770 in his account.