HW Score: $$ 42.86^{\%} $$ If $$ \$ 9,000 $$ is invested in a bank that pays $$ 3 \% $$ interest, how much more must be invested in bonds at $$ 7 \% $$ to earn $$ 5 \% $$ on the total investment?

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To determine how much more must be invested in bonds to achieve an overall return of $$ 5\% $$ on the total investment, follow these steps:

1. **Define Variables:**
   - Let $$ x $$ be the amount to be invested in bonds at $$ 7\% $$.

2. **Set Up the Equation:**
   - The total investment will be $$ \$9,000 + x $$.
   - The total interest earned from the bank and bonds should equal $$ 5\% $$ of the total investment.

3. **Write the Interest Equation:**
   $$
   \frac{(\$9,000 \times 0.03) + (x \times 0.07)}{\$9,000 + x} = 0.05
   $$

4. **Simplify the Equation:**
   $$
   \$270 + 0.07x = 0.05(\$9,000 + x)
   $$
   $$
   \$270 + 0.07x = \$450 + 0.05x
   $$

5. **Solve for $$ x $$:**
   $$
   0.07x - 0.05x = \$450 - \$270
   $$
   $$
   0.02x = \$180
   $$
   $$
   x = \frac{\$180}{0.02} = \$9,000
   $$

**Conclusion:**
You must invest an additional **\$9,000** in bonds at $$ 7\% $$ to achieve an overall return of $$ 5\% $$ on the total investment.
You need to invest an additional \$9,000 in bonds at 7% to earn a 5% return on the total investment.

HW Score:
If is invested in a bank that pays interest, how much more must be invested in bonds at to earn on the total investment?

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HW Score: If is invested in a bank that pays interest, how much more must be invested in bonds at to earn on the total investment?