# Algebra

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1. Juanita has 180 feet of fencing that she intends to use to build a rectangular play area for her dog. She wants the play area to enclose at least 1800 square feet. What are the possible widths of the play area?

2. A bicycle maker sold 300 bicycles last year at a profit of \$300 each. The maker wants to increase the profit margin this year, but predicts that each \$20 increase in profit will reduce the number of bicycles sold by 10. How many \$20 increases in profit can the maker add in and expect to make a total profit of at least \$100,000?

3. The current in a circuit is amps (I), and the impedance is ohms (Z). What is the voltage? (Hint: use the formula

4. Write two complex numbers whose product is 10.

• Algebra -

4. what about 3+i, 3-i ? or -sqrt10 i, +sqrt10 i

or 1 + 3i,1-3i

on 1. You know the perimeter (180=2L+2w) and the area 1800<L*W

Solve by substution.

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