an investment of $5,000 is made for 3 years with 7% annual compound interest. the table below can be used to…

an investment of $5,000 is made for 3 years with 7% annual compound interest. the table below can be used to answer the following questions. 1) what is the principal for this investment? o $350 o $1,125.22 o $5,000 2) how much interest is earned on only the principal each year? o $0 o $350 o $1,125.22 3) how much interest is earned on interest at the end of the second year? o $0 o $350 o $1,125.22 year 1 2 3 total investment $5,000.00 $5,350.00 $5,724.50 interest $350.00 $374.50 $400.72 total interest = $1,125.22
Answer
Explanation:
Step1: Identify principal amount
The principal is the initial investment. From the table, the total investment is $5,000, so the principal $P = 5000$.
Step2: Calculate simple - interest per year on principal
The interest rate $r=7%=0.07$. The simple - interest formula for one - year on the principal is $I = Pr$. Substituting $P = 5000$ and $r = 0.07$, we get $I=5000\times0.07 = 350$.
Step3: Calculate interest on interest in the second year
In the first year, the interest is $I_1 = 350$. In the second year, the interest on the first - year's interest (compound interest part) is calculated using the same rate. The interest on the $350$ (the first - year's interest) at a 7% rate is $I_{on - I}=350\times0.07=24.5$. The total interest in the second year is the sum of the simple interest on the principal and the interest on the first - year's interest. The simple interest on the principal in the second year is still $350$ (since $I = Pr$ and $P$ and $r$ are constant for the principal). So the total interest in the second year is $350 + 24.5=374.5$. But we are asked for the interest on interest in the second year, which is $24.5$.
Answer:
- $5,000
- $350
- $24.5