Final answer:
Justin will have approximately $284 in his savings account after 6 years, having started with $200 at an annual interest rate of 6%.
Step-by-step explanation:
Justin received $200 from his grandparents and opened a savings account that earns 6% interest per year. To find out how much money Justin will have in the account after 6 years, we apply the formula for compound interest: Final Amount = Principal * (1 + Rate)^Time. Therefore:
Final Amount = 200 * (1 + 0.06)^6
We calculate as follows:
Final Amount = 200 * (1.06)^6
Final Amount = 200 * 1.418519
Final Amount ≈ $284 (rounded to the nearest dollar)
So after 6 years, Justin will have approximately $284 in his savings account.