T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
The answer to this equation is
x= (1/4)
Answer:
110 feet
Step-by-step explanation:
The formula to find the area of a rectangular prism is A = 2 (wl + hl + hw)
Substitute the values:
A = 2 (5x5 + 3x5 + 3x5)
A = 2 (25 + 15 + 15)
A = 2 (25 + 15 + 15)
A = 2 (55)
A = 110
Answer: (X) = y => b^y = x
use that equation to get the exponential form
Step-by-step explanation:
