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?

Answer: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:Letx -----> 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 thatThe 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%[tex]4.5x+1.8(15,000-x)=4.05(15,000)[/tex]Solve for x[tex]4.5x+27,000-1.8x=60,750[/tex][tex]4.5x-1.8x=60,750-27,000[/tex][tex]2.7x=33,750[/tex][tex]x=\$12,500[/tex]so[tex]15,000-x=\$2,500[/tex]thereforeThe 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.