posted by Sarah on .
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.
I will do #5 for you
please show some ideas or work that you tried for the others
let the two numbers be a+bi and a-bi
then (a+bi)(a-bi)= 10
a^2 - b^2i^2 = 10
a^2 + b^2 = 10 .... because i^2 = -1
let a=1, then b^2 = 9
b = 3 or b= -3
so let's pick a=1 and b-3
two complex numbers whose product are 10 are
1 + 3i and 1-3i