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Neil invested a total of ${\$11{,}000}$ in two accounts. After a year, one account had earned $12.2\%$ , while the other account had lost $7.9\%$ . In total, Neil had a net gain of ${\$839.50}$ . How much money did Neil invest in each account?

Neil invested in the account that grew by $12.2\%$ .

Neil invested in the account that fell by $7.9\%$ .

You can earn partial credit on this problem.