Answer:
Step-by-step explanation:
<u>Cube with side 2 has volume:</u>
<u>Cube with side 6 has volume:</u>
<u>Number of cubes:</u>
12)
First of all, you need to know that profit is the difference between selling price and cost price. In this problem, profit is equal to the markup. Total profit is equal to the profit on each car multiplied by the number of cars sold.
The profit on each car is 2000 -400n, where n is defined in the problem statement as the number of markdowns (of $400).
The number of cars sold is 20 +6n. (Starting at 20, increasing by 6 for every markdown.)
The total monthly profit is the product of these binomials.
.. P(n) = (2000 -400n)*(20 +6n)
.. P(n) = -2400n^2 +4000n +40,000 . . . . . . selection C
13)
Matching functions to data points is often just a matter of trying them to see which fits. The first two function both match points (0, 2) and (1, 6). Functions C and D fail to match (1, 6).
Only the second function matches (2, 18).
The appropriate choice is
.. B. y = 2(3)^x
Answer:
1,769
Step-by-step explanation:
The computation of the sum is shown below:
Future value = Present value × (1 + rate of interest)^number of years
2,590 = Present value × (1 + 0.10)^4
2,590 = Present value × 1.10^4
So, the present value is
= 2,590 ÷ 1.10^4
= 2,590 ÷ 1.4641
= 1,769
F(x)=(x-8)/(x+7). g(x)=(-7x-8)/(x-1). Plug in g(x) into f(x), f(g(x))=[(-7x-8)/(x-1)-8]/[-7x-8)/(x-1)+7], which can be simplified as (-7x-8-8x+8)/(-7x-8+7x-7)=-15x/-15=x. Plug in f(x) into g(x), g(f(x))=[-7*(x-8)/(x+7)-8]/[(x-8)/(x+7)-1]=(-7x+56-8x-56)/(x-8-x-7)=-15x/-15=x, as desired.
