Final answer:
To calculate the interest earned on a $3000 investment at a 7% interest rate over a specific time period, use the compound interest formula. For a 40-year period, the interest would be $41,923, giving a total amount of $44,923 including the principal.
Step-by-step explanation:
To calculate how much interest you will earn on a $3000 investment at a 7 percent interest rate over a specific time period, you can use the compound interest formula:
I = P(1 + r)^n - P
Where:
- I is the interest
- P is the principal amount ($3000)
- r is the annual interest rate (0.07 for 7%)
- n is the number of years
For example, after 40 years, the interest earned would be calculated as:
I = 3000(1 + 0.07)^40 - 3000
Using this formula, you would find that the interest earned after 40 years is $41,923, which added to the principal gives you a final amount of $44,923.