Answer:
Step-by-step explanation:
Given that,
...(1)
We need to find the value of x.
We know that,
sin30 = 1/2
Use it in equation (1).
So, the value of x is equal to 
.
Answer:
$0.60
Step-by-step explanation:
The costs are:
$0.15 + $0.25 = $0.40
He sells it for $1.25.
The value added is:
$1.25 - $0.40 = $0.85
Answer:
-1/3
Step-by-step explanation:
Evaluate the power, -3/9
Simplify the fraction by divided each number by 3, -1/3
Final answer, -1/3
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
