Answer:
(B)
4 +/- 3 sqrt(2) or 4+3sqrt(2) and 4-3sqrt(2)
Step-by-step explanation:
4(c-4)^2=72
4(c-4)(c-4)=72
foil the parenthesis (first, outside, inside, last)
4(c^2 -4c -4c +16)=72
4(c^2-8c+16)=72
divide each side by 4
c^2-8c+16=18
subtract 18 from both sides
c^2-8c-2
use quadratic formula
((-b +/- sqrt((-b^2)-4ac)))/2a
((-(-8)+/-sqrt((-8)^2-4(1)(-2)))/2(1))
(8+/-sqrt(64-(-8)))/2
(8+/-sqrt(64+8))/2
(8+/-sqrt(72))/2
(8+/-sqrt(36 * 2))/2
(8+/-6sqrt(2))/2
4+/-3sqrt(2)
or 4+3sqrt(2) and 4-3sqrt(2)
-- If the spinner is honest and the sections are all the same size, then
each section should have an equal chance of being landed on.
-- If there are 4 sections, then the chance of landing on each one
should be 1/4 or 25%.
-- The chance doesn't depend on how many times you try it.
If there are 4 sections, then each one should come up
25% of the time.
$1059.83 Use this formula:
P=principal of 519
r= your rate of 4.2% as a decimal
n=number of compounding periods; yours is daily or 365 day in a year.
t=time involved of the investment in years; yours is 17
V = 4/3 * pi * r^3
V = 4/3 * 3.14 * 21^3
Simplify exponent:
V = 4/3 * 3.14 * 9261
Multiply:
V = 38772.72
