**(a)**

Write a matrix for the amounts borrowed by each student and a matrix for the monthly interest rates.

Observe the table:

The matrix is the amounts borrowed by each student.

The matrix is .

The matrix is the monthly interest rates.

Th matrix .

**(b)**** **Find the multiplication of the two matrices.

The two matrices are and .

Multiplication of two matrices is possible if the number of columns in the first matrix equals the number of rows in the second matrix.

.

.

The product of the two matrices is .

Therefore, after one month jamals loans accured in interest and stephanies loans accured in interest.

**(c)** Find the value of where .

Find the value of .

Substitute and .

.

Find the value of .

The matrix is .

Therefore, the jamals loan balance after one month was and stephanies loan balance was .

**(a) **The amounts borrowed by each student is .

The monthly interest rate is .

**(b) **After one month jamals loans accured in interest and stephanies loans accured in interest**.**

**(c) **The jamals loan balance after one month was and stephanies loan balance was .

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