The ending balance in the account is $18,937.5
Step-by-step explanation:
Simple Interest Equation (Principal + Interest) is A = P(1 + rt), where:
- A is the future value of the investment/loan, including interest
- P is the principal investment amount
- r is the annual interest rate in decimal)
- t is the time the money is invested or borrowed for
Dylan deposited 15,000 in an account that pays 7.50% simple interest for 3.5 years. We need to find the ending balance in the account
∵ Dylan deposited 15,000 in an account
∴ P = 15,000
∵ The account pays 7.5% simple interest for 3.5 years
∴ r = 7.5% = 7.5 ÷ 100 = 0.075
∴ t = 3.5
- Substitute all of these values in the rule above
∴ A = 15,000(1 + 0.075 × 3.5)
∴ A = 15,000(1 + 0.2625)
∴ A = 15,000(1.2625)
∴ A = 18,937.5
The ending balance in the account is $18,937.5
Learn more:
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