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Over the last 16 years Johanna saved some of her pay each month. She now has $46,000. She decides to invest some
of it at 5.25% annual interest and the rest at 3.75% annual interest. After one year, her total interest earned from both
accounts is $2001. How much did she invest in each account? (Clearly label which amount is for which account in
your answer.

Respuesta :

The amount invested in the account that gives a 5.25% interest is  $18400.

The amount invested in the account that gives a 3.75% interest is 27600.

What are the linear equations that represent this question?

0.0525a + 0.0375b = 2001 equation 1

a + b = 46000 equation 2

Where:

a = amount invested in the account that gives a 5.25% interest

b = amount invested in the account that gives a 3.75% interest

What is the amount invested in the account that gives a 3.75% interest?

Multiply equation 2 by 0.0525

0.0525a + 0.0525b = 2415 equation 3

Subtract equation 1 from equation 3

414 = 0.015b

b = 27600

What is the amount invested in the account that gives a 5.25% interest ?

Subtract 27600 from 46000

46000  27600 = $18400

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

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