The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is
(x - x^2)^2 * sqrt(3)/4.
Integrating from x = 0 to x = 1, we have
[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4
= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144.
Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...
Kacie has a balance of $10,000 on a loan with an annual interest rate of 8%. To pay off the $10,000 in four years, Kacie will have to make a minimum payment is $244.13 per month. How much will kacie pay in interest over the four year period?
A.) $1.088.20
B.) $1,718.24
C.) $2,971.99
D.) $11,718.24
Answer:
3(Y-2) +5Y =Y+22
3Y-6 +5Y=Y+22
3Y -6 +5Y-Y-22=0
3Y+5Y-Y-6-22=0
7Y-28=0
7Y=28
Y=28/7
Y=4
Step-by-step explanation:
Answer:
IT is 41.5 heres the steps
Step-by-step explanation:
first step 21 divided by 2 = 10.5
Then you do 10.5 + 1 = 11.5
then you do 11.5 times 5 = 57.5
Then 2 times 2 times 2 times 2= 16
then 16 - 57.5 = 41.5 is your answer
Answer:
(a - 7)(3 - x)
Step-by-step explanation:
Given
3(a - 7) - x(a - 7) ← factor out (a - 7) from both terms
= (a - 7)(3 - x)
