Q:

janice invests a total of 8000 in two different accounts. the first account returns 5%, while the second account returns 8%. if the total interest earned after one year is 565, what principal did she invest in each account?​

Accepted Solution

A:
Answer:"She invested $2500 in 5% account and $5500 in 8% account"Step-by-step explanation:Let the amount invested in 5% account be "x"So, the amount invested in 8% account would be "8000 - x"Interest amount is the percentage multiplied by amount invested. SoInterest of 5% account = 5% of x = 0.05xInterest of 8% account = 8 % of 8000 - x = 0.08(8000 - x)Total interest is the sum of these 2 expressions that EQUATES to 565 (given). Let's solve for x:[tex]0.05x + 0.08(8000 - x) = 565\\0.05x+640-0.08x=565\\0.03x=75\\x=2500[/tex]and thus,"8000 - x" = 8000 - 2500 = 5500Hence,She invested $2500 in 5% account and $5500 in 8% account