You just got lucky and had 5 numbers right on the Powerball. You won $200,000. After taxes, you now have $120,000.

You are about to become a brand-new parent and want to make sure your child will have enough money for college. How much of your winnings should you deposit into a savings account that earns 3% APR compounded monthly so that you have $70,000 in 18 years?

9

Step-by-step explanation:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

13cm

step-by-step explanation:

(apex)