# Chapter 4 - Section 4.8 - Applications of Trigonometric Functions - Exercise Set - Page 640: 79

$500$ dollars in the $6\%$ account and $2500$ dollars in the $8\%$ account.

#### Work Step by Step

Step 1. Assume $x$ dollars are invested in the $6\%$ account and $y$ dollars are invested in the $8\%$ account. Step 2. Based on the given conditions, we have $\begin{cases} x+y=3000\\0.06x+0.08y=230 \end{cases}$ Step 3. Rewrite the system of equations as $\begin{cases} 6x+6y=18000\\6x+8y=23000 \end{cases}$ Step 4. Take the difference between the two equations; we have $2y=5000$ and $y=2500$ dollars. Step 5. Thus we have $x=500$ and $y=2500$ dollars.

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