Final answer:
Hakim will have $840 after one year. The simple interest earned on his $800 investment at a 5% annual rate is $40, which is added to the principal to get the total amount.
Step-by-step explanation:
Hakim's investment problem can be solved using the simple interest formula. The formula to calculate simple interest is I = Prt, where I stands for interest, P for principal amount (the initial amount of money), r for the annual interest rate (in decimal form), and t for time in years.
Let's apply this formula to Hakim's situation:
- Principal amount (P) = $800
- Annual interest rate (r) = 5% = 0.05 (as a decimal)
- Time (t) = 1 year
Now, calculate the interest:
I = $800 × 0.05 × 1 = $40
After one year, the total amount Hakim has including the interest will be the sum of the principal amount and the interest earned:
Total Amount = Principal Amount + Interest
Total Amount = $800 + $40 = $840
Therefore, after one full year, Hakim will have $840 in total.