Answer:
The correct answer is $16500 and $ 10000 each in two accounts.
Step-by-step explanation:
Samantha invests a total of $26,500 in two accounts.
Let Samantha invest $x in one account and $(26500 - x) in the other account.
The first account earned a rate of return of 14% (after a year).
Return earned = 14% of x
The second account suffered a 4% loss in the same time period.
Loss suffered = 4% of (26500 - x)
At the end of one year, the total amount of money gained was $1,910.00.
Therefore 14% of x - 4 % of (26500 - x) = 1910
⇒ 0.14x - 1060 + 0.04x = 1910
⇒ 0.18x = 2970
⇒ x = 16500
Therefore Samantha invested $16500 and $10000 each in two accounts.
