1.
What is the SUM of the two solutions to the following quadratic equation?
x^2 +10x + 3 = 0
2.
Henry is going to retire in 34 years and would like to have $500,000 by that time. An investment plan has a guarantee return of 8 %, compounded monthly. How much does he need to invest today to achieve his retirement goal?
Round to two decimal places.
3.
A student must have an average for five test grades that is greater than or equal to 80% and less than 90% to receive a final grade of B. Gabi's grades on the first four tests were 98, 76, 86 and 92. What range of grades on the fifth test would give her a B in the course?
A.
80 - 90
B.
48 - 95
C.
37 - 89
D.
65 - 92
4.
Find the volume of a silo that consists of a right circular cylinder with a radius of 4 and a height of 11 surmounted by a hemisphere of radius 4.
Round your answer to two decimal places.
5.
1) x^2 + 10x + 3 = 0
The sum of the roots is given by 2 (-b)/(2a) = -b/a = -10/1 = -10
2)
500,000 = P (1 + .08/12)^(34*12) where P is what we're looking for.......simplify...
500,000 = P(1 + .08/12)^408 divide both sides by (1 + .08/12)^408
500,000/ (1+ .08/12)^408 = P = about $33,236.03