Fatuma invests a total of $22,000 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 7% loss in the same time period. At the end of one year, the total amount of money gained was $110.00. How much was invested into each account

$7,500 was invested in the account that gained 15%, while $14,500 was invested in the account that lost 7%.

Explanation:

Given that Fatuma invests a total of $ 22,000 in two accounts, and the first account earned a rate of return of 15% after a year while the second account suffered a 7% loss in the same time period, and at the end of one year the total amount of money gained was $ 110.00, to determine how much was invested into each account, the following calculation must be performed:

11,000 x 0.15 - 11,000 x 0.07 = 880

5,000 x 0.15 - 17,000 x 0.07 = -440

8,000 x 0.15 - 14,000 x 0.07 = 220

7,000 x 0.15 - 15,000 x 0.07 = 0

7,500 x 0.15 - 14,500 x 0.07 = 110

Therefore, $ 7,500 was invested in the account that gained 15%, while $ 14,500 was invested in the account that lost 7%.

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