Final answer:
The total amount of money accumulated for an initial investment of $200 at 8% compounded annually after 4 years is $272.10.
Step-by-step explanation:
To find the total amount of money accumulated for an initial investment of $200 at 8% compounded annually after 4 years, we can use the formula A = P(1 + r)^t. Here:
- P represents the initial investment ($200)
- r represents the interest rate (8% or 0.08)
- t represents the number of years (4 years)
Plugging in the given values into the formula, we get:
A = 200(1 + 0.08)^4
A = 200(1.08)^4
A = 200(1.3605)
A = $272.10
Therefore, the total amount of money accumulated for an initial investment of $200 at 8% compounded annually after 4 years is $272.10.