Sure, let’s break this question down step by step:
1. Identify the principal amount (initial amount of money).
- The principal is [tex]$150.
2. Identify the time period.
- The period is 3 years.
3. Identify the interest earned.
- The interest earned is $[/tex]1800.
4. Calculate the total amount after interest.
- The total amount after interest (amount_total) is the sum of the principal and the interest earned:
[tex]\[
\text{Amount Total} = \text{Principal} + \text{Interest Earned} = 150 + 1800 = 1950
\][/tex]
5. Determine the rate of interest.
- We use the simple interest formula to find the rate:
[tex]\[
\text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time}
\][/tex]
- Rearranging the formula to solve for the rate, we get:
[tex]\[
\text{Rate} = \frac{\text{Interest}}{\text{Principal} \times \text{Time}} = \frac{1800}{150 \times 3} = 4
\][/tex]
6. Express the rate of interest as a percentage.
- To convert the decimal form of the rate into a percentage, we multiply by 100:
[tex]\[
\text{Rate Percent} = 4 \times 100 = 400\%
\][/tex]
So, the step-by-step solution to the problem concludes with these main results:
1. The total amount after 3 years is [tex]$1950.
2. The rate of interest is 4 per year.
3. When expressed as a percentage, the rate of interest is 400%.
These results align with the proper calculations and the final results are:
- Total Amount: $[/tex]1950.
- Interest Rate: 4.
- Interest Rate as Percentage: 400%.
