
The interest and total amount due at the end of the loan for both simple and compound interest.

Answer to Problem 5P
The interest and total amount due at the end of the loan for both simple and compound interest is shown in the table below.
(a) | ||||
(b) | ||||
(c) | ||||
(d) | ||||
(e) |
Explanation of Solution
Given:
Loan | Years | Rate | |
(a) | |||
(b) | |||
(c) | |||
(d) | |||
(e) |
Concept used:
Write the expression to calculate simple interest.
Here, simple interest is
Write the expression to calculate the amount due to simple interest.
Here, amount due to simple interest is
Write the expression to calculate compound interest.
Here, compound interest is
Write the expression to calculate the amount due to compound interest.
Here, the amount due to compound interest is
Calculation:
Calculate the simple interest.
Substitute
Calculate the amount due to simple interest.
Substitute
Calculate the compound interest.
Substitute
Calculate the amount due to compound interest.
Substitute
The values for the loan values are calculated and shown below in the table.
Loan | Years | Rate | SI | CI | |||
(a) | |||||||
(b) | |||||||
(c) | |||||||
(d) | |||||||
(e) |
Here, SI is calculated from Equation (I),
Conclusion:
Thus, the interest and total amount is shown in the following table.
(a) | ||||
(b) | ||||
(c) | ||||
(d) | ||||
(e) |
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