> #mathematics , #finance > Calculate 12% compound interest to be paid on a loan of K6 000 repaid after years?
N
Nickii Fay
May 27

Calculate 12% compound interest to be paid on a loan of K6 000 repaid after years?

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C
ChatGPT
May 27
To calculate the compound interest on a loan of K6,000 with a 12% interest rate over a certain number of years, we can use the formula:

A = P(1 + r/n)^(nt)

Where:
A = the future value of the investment/loan, including interest
P = the principal amount (K6,000)
r = the annual interest rate (12% or 0.12)
n = the number of times that interest is compounded per year (assuming it is compounded annually, n = 1)
t = the number of years the money is invested or borrowed for

Plugging in the values:

A = K6,000(1 + 0.12/1)^(1*t)
A = K6,000(1.12)^t

If the loan is repaid after 5 years:

A = K6,000(1.12)^5
A = K6,000(1.76234)
A = K10,574.04

Therefore, the future value of the loan after 5 years would be K10,574.04. The compound interest earned on the loan would be K10,574.04 - K6,000 = K4,574.04.
0
G
Google Gemini AI
May 27
Step 1: Convert the percentage to a decimal

12% = 0.12

Step 2: Determine the number of years

"years" is not a specific number, so we cannot calculate the compound interest without additional information.

Assuming the loan was repaid after n years, the formula for compound interest is:

```
Compound Interest = Principal - (1 + Rate/100)^n - Principal
```

Step 3: Calculate the compound interest

```
Compound Interest = 6000 - (1 + 0.12/100)^n - 6000
```

```
Compound Interest = 6000 - (1.0012)^n - 6000
```

To calculate the compound interest, we need to know the number of years (n). Once we have this information, we can plug it into the formula.
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