Problema Solution

A man invests a total of $9,493in two savings accounts. One account yields 9% simple interest and the other 10% simple interest. He earned a total of $930.80interest for the year. How much was invested in the 9% account?

Answer provided by our tutors

let


x = the money invested at the account that yields 9% simple interest

y = the money invested at the account that yields 10% simple interest


a man invests a total of $9,493 in two savings accounts


x + y = 9493


he earned a total of $930.80 interest for the year


0.09x + 0.10y = 930.80


by solving the system of equations


x + y = 9493

0.09x + 0.10y = 930.80


we find


x = $1,850


y= $7,643


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he invested $1,850 in the 9% account.