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Over the last 12 years Johanna saved some of her pay each month. She now has $64,000. She decides to invest some of it at 3.75% annual interest and the rest at 4.25% annual interest. After one year, her total interest earned from both accounts was $2610. How much did she invest in each account

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Based on the total amount that Johanna had and the interest on both accounts, the amounts she invested were $22,000 and $42,000.

How much did Johanna invest?

This can be solved simultaneously with x denoting one investment and y denoting the other investment.

The equations will be:

x + y = 64,000

(3.75% × x) + (4.25% x y) = 2,610

Solve by substitution:

x + y = 64,000

x = 64,000 - y

Replace in the second equation to become:

(3.75% × x) + (4.25% x y) = 2,610

(3.75% x (64,000 - y)) + 0.0425y = 2,610

2,400 - 0.0375y + 0.0425y = 2,610

0.005y = 210

y = 210 / 0.005

y = $42,000

The other amount is:

= 64,000 - 42,000

= $22,000

Find out more on simultaneous equations at https://brainly.com/question/148035.

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