Final answer:
To calculate the value of the investment, we can use the formula: A = P(1 + rt). Given that the principal amount is $5,000, the interest rate is 5%, and the time period is 8 years, the investment will be worth $7,000 at the end of 8 years.
Step-by-step explanation:
To calculate the value of the investment, we can use the formula: A = P(1 + rt), where A is the final amount, P is the principal amount, r is the interest rate, and t is the time in years.
Given that the principal amount is $5,000, the interest rate is 5%, and the time period is 8 years, we can substitute these values into the formula:
A = 5000(1 + 0.05 * 8)
Simplifying the expression:
A = 5000(1 + 0.4)
A = 5000 * 1.4
A = $7,000
Therefore, the investment will be worth $7,000 at the end of 8 years.