P = $ 38,461.54
Equation:
P = A / (1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year,
then, solving our equation
P = 100000 / ( 1 + (0.08 × 20)) = 38461.538461538
P = $ 38,461.54
The principal investment required to get
a total amount, principal plus interest, of $ 100,000.00
from simple interest
at a rate of 8% per year
for 20 years is $ 38,461.54.
Answer:
Step-by-step explanation:
We have 2 linear equations, and in both, the amount of merchandise you would have to purchase is "x", the unknown. We are asked to find that value of x.
The first equation is
C(x) = .30x + 90, which says that the cost of this plan is a fixed $90, and you pay 30% of the manufacturer's cost, x.
The second equation is
C(x) = .80x + 40, which says that the cost of this plan is a fixed $40, and you pay 80% of the manufacturer's cost, x.
If we want to know when the cost of these 2 are equal to each other, we set the equations equal to each other and solve for x:
.3x + 90 = .8x + 40 so
-.5x = -50 so
x = $100
The cost for each plan will be the same at this value of x, but we will plug in 100 for x in each just to make sure we did it right:
C(100) = .3(100) + 90
C(100) = 30 + 90
C(100) = 120 and
C(100) = .8(100) + 40
C(100) = 80 + 40
C(100) = 120
Hey!
Lets take the square root of all these answer choices.
√63 ≈ 7.9
√99 ≈ 9.4
√83 ≈ 9.1
√10 ≈ 3.2
So if we look at all the answer choices square root, the answer that is the closest to 9 is √83.
Therefore, your answer will be C. square root of 83.
Hope this helps! :)
(1/4)^3 = 1/64 Hope this helps! Thanks!