SOLUTION: Last year, Ali had $30,000 to invest. He invested some of it in an account that paid 10% simple interest per year, and he invested the rest in an account that paid 6% simple intere

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Last year, Ali had $30,000 to invest. He invested some of it in an account that paid 10% simple interest per year, and he invested the rest in an account that paid 6% simple intere      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 819279: Last year, Ali had $30,000 to invest. He invested some of it in an account that paid 10% simple interest per year, and he invested the rest in an account that paid 6% simple interest per year. After one year, he received a total of $2920 in interest. How much did he invest in each account?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
---
using percents (rather than fractions) in the left side of the following equation
so multiply right side by 100 to compensate
---
10a + 6b = 2920 * 100
a + b = 30000
b = 30000 - a
---
10a + 6b = 292000
10a + 6(30000 - a) = 292000
10a + 180000 - 6a = 292000
4a = 112000
---
a = $28000 at 10%
b = $2000 at 6%
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php