Final answer:
To solve for the final amount, use the formula A = P(1 + rt), where P is the principal amount, r is the interest rate, and t is the time period. Plugging in the values and solving gives a final amount of $34,250.
Step-by-step explanation:
To solve for the final amount, we can use the formula for calculating simple interest:
A = P(1 + rt)
Where:
- A is the final amount
- P is the principal amount ($26,000 in this case)
- r is the interest rate (7.5% as a decimal, which is 0.075)
- t is the time period (5 years)
Plugging in the values, we get:
A = 26,000(1 + 0.075 * 5) = 34,250
So the final amount is $34,250. Therefore, the correct answer is b. $34,250.