The original volume equation looks like this: V = 1/3 * h * (x^2)
After the side is reduced by 0.002, the new volume would look like V1 = 1/3 * h
* (x-0.002) ^ 2
Then we have:
V-V1 = 1/3*h*(x^2) - 1/3*h*(x – 0.002) ^2
= 1/3 * h *(x^2 - (x – 0.002) ^2)
= 1/3 * h * (0.004x - 0.00004)
The rate of decreasing is computed by:
(V-V1)/V * 100% = [1/3 * h *(0.004x - 0.00004)] / [1/3 * h * (x ^ 2)] *
100% this would be equal to (0.004x - 0.00004) / (x^2) * 100%
So replace x by 200, you’ll get:
(0.004(200) - 0.00004) / (200^2) * 100%
= 0.001999% is the rate of decreasing.
Answer:
(-12,2)
Step-by-step explanation:
2x + 4y = -16
2y - x = 16
Multiply the bottom part by 2.
2x + 4y = -16
4y - 2x = 32
Add the equations and the answers to the equations up, and they will equal each other.
(2x + 4y) + (4y - 2x) = -16 + 32
8y = 16
y = 2
Plug y = 2 to the 2nd equation.
2*2 - x = 16
4 - x = 16
Subtract 4 from both sides.
-x = 12
Multiply both sides by -1.
x = -12
Answer:
15.59 un²
Step-by-step explanation:
18 ÷ 3 = 6
15.59 un²
Answer:
30 mph
Step-by-step explanation:
Let the morning speed be represented by s.
Then the total distance drivern is 310 mi and this is equal to
5s + 4(s + 10):
5s + 4s + 40 = 310, or
9s = 270
Solving for s, we get s = 270/9 = 30
Then s + 10 = 40
He drove 30 mph in the morning and 40 mph in the afternoon.
Check: (30 mph)(5 hrs) + (40 mph)(4 hrs) = 310 miles. CORRECT
Answer: Reggie will end up paying $9900 for the car.
Step-by-step explanation:
Down-payment = $1500
48 monthly payments x $175/month = $8400
Total cost = $1500 + $8400 = $9900
