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
Left side: 63, 72, 16 right side: 36, 4, 35
Answer:
no mode , 6 , 6.24
Step-by-step explanation:
Answer:
x^2 +y^2 -40x -24y -81 =0
Step-by-step explanation:
We can write the equation of a circle in the form
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
Assuming that Pamela's cabin is the center
( x-20)^2 + (y- 12)^2 = 25^2
We want to get to general form
x^2 + y^2 + Dx + Ey + F = 0,
Distributing
x^2 -40x +400 + y^2 -24y +144 = 625
x^2 +y^2 -40x -24y +544 -625 =0
x^2 +y^2 -40x -24y -81 =0
