SOLUTION: Lili invests $15,000 in two one-year certificates of deposit. One certificate pays 3%, and the other pays
3.5% simple interest annually.
(a) Construct a model for the total inte
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Question 1118791: Lili invests $15,000 in two one-year certificates of deposit. One certificate pays 3%, and the other pays
3.5% simple interest annually.
(a) Construct a model for the total interest I(x) Lili earns in one year on her investments. (Let x represent the amount invested at 3%.)
(b) If Lili's total interest is $510.00, how much money did she invest in each certificate?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the amount invested at 3%, then the amount invested at 3.5% must be 
because the sum of the two investments is given as $15,000.
The amount of interest earned in one year on dollars at 3% presuming annual compounding is 
, whereas the amount of interest earned in one year at 3.5% on dollars is )
. Hence the dollar amount of the interest earned as a function of the amount invested at 3% is:
\ =\ 0.03x\ +\ 0.035(15,000\ -\ x))
Then, if you are given that \ =\ $510.00)
, solve the equation:
\ =\ 510)
for and then calculate
John
My calculator said it, I believe it, that settles it
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