Pre-Calculus, 9th edition
84

 PAGE: 752 SET: Exercises PROBLEM: 84

(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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