Shawn has $15,000 to invest. she will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. how much should she invest in each account if she want to earn 4.05% annual interest on the total amount?

The amount to invest in a fund that pays 4.5% should be $12,500 and the amount to invest in a certificate of deposit that pays 1.8% should be $2,500.

Step-by-step explanation:

Let

x -----> the amount invested in a fund that pays 4.5%

$15,000-x -----> the amount invested in a certificate of deposit that pays 1.8%

we know that

The interest earned in a fund that pays 4.5% plus the interest earned in a certificate of deposit that pays 1.8% must be equal to the interest earned by the total amount at 4.05%

Solve for x

so

therefore

The amount to invest in a fund that pays 4.5% should be $12,500 and the amount to invest in a certificate of deposit that pays 1.8% should be $2,500.

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