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Find the rate percent per annum simple interest for K420 to be the interest on K1200 invested for 5 years.
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12 stepsHere are the solutions for questions 3, 4, 5, and 6.
3. Find the rate percent per annum simple interest for K420 to be the interest on K1200 invested for 5 years.
Identify the given values for simple interest.
The formula for simple interest is , where is the interest, is the principal, is the annual interest rate, and is the time in years.
Given:
Interest () = K420
Principal () = K1200
Time () = 5 yearsRearrange the formula to solve for the rate ().
Substitute the values and calculate the rate.
Convert the decimal rate to a percentage.
Refer to the given information to answer Questions 4 and 5
K8 000 is invested for 12 years at 12% pa. The interest is compounded half-yearly.4. Calculate the amount after 12 years.
Identify the given values for compound interest.
The formula for compound amount is , where is the amount, is the principal, is the annual interest rate, is the number of times interest is compounded per year, and is the time in years.
Given:
Principal () = K8 000
Annual interest rate () = 12% = 0.12
Time () = 12 years
Compounding frequency () = 2 (half-yearly)Calculate the values for and .
Substitute the values into the compound amount formula and calculate.
5. Calculate the interest earned after 12 years.
Use the amount calculated in Question 4 and the original principal.
Amount () = K32391.24
Principal () = K8 000Subtract the principal from the amount to find the interest earned.
6. Evaluate: K5 000
Convert the percentage to a decimal and add it to 1.
Raise the result to the power of 5.
Multiply the result by K5 000.
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