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Solve the following problem:

An amount of capital [tex]R \$ 150[/tex] was borrowed, which yielded [tex]R \$ 1800.00[/tex] in 3 years. What is the interest rate?

(Note: The original question in Portuguese appears to be a problem related to calculating interest or return on a borrowed capital. If this assumption is incorrect, please provide more context or a clearer version of the question.)


Sagot :

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%.
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