Ms. Suzuki invested $$ 22, 000$ in two accounts, one yielding $4 %$ interest and the other yielding $8 %$ . If she received a total of $$ 1, 080$ in interest at the end of the year, how much did she invest in each account?
The amount invested at $4 %$ was $$$

Answer

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Answer

Final Answer: Ms. Suzuki invested $17000$ dollars at 4% and $5000$ dollars at 8%.

Steps

Step 1 ：Let's denote the amount invested at 4% as x and the amount invested at 8% as y.

Step 2 ：We know that the total amount invested is $22,000, so we can write the equation as $x + y = 22000$ .

Step 3 ：We also know that the total interest earned is $1,080, so we can write another equation as $0.04 x + 0.08 y = 1080$ .

Step 4 ：We can solve this system of equations to find the values of x and y.

Step 5 ：The solution to the system of equations is $x = 17000$ and $y = 5000$ .

Step 6 ：Final Answer: Ms. Suzuki invested $17000$ dollars at 4% and $5000$ dollars at 8%.