Answer:
yes
Step-by-step explanation:
175 + 263 = 438
to get 40% do 40/100=0.4
so 438 x 0.4 = 175.2
175 is about 40% of 438
Solve your equation step-by-step.
2(x−3)−17=13−3(x+2)
Simplify both sides of the equation.
2(x−3)−17=13−3(x+2)
Simplify
2x−23=−3x+7
Add 3x to both sides.
2x−23+3x=−3x+7+3x
5x−23=7
Add 23 to both sides.
5x−23+23=7+23
5x=30
Divide both sides by 5.
5x/5 = 30/5
x=6
Answer:
471.24 yd²
Step-by-step explanation:
The formula for the surface area of the cylinder
= 2πr(r + h)
Height = 10 yd
Radius = 5 yd
Surface area =
2 × π × 5(5 + 10)
= 471.24 yd²
The surface area of the cylinder = 471.24 yd²
Answer:
x = 11
Step-by-step explanation:
Slope(m) is given by:
m = change in y ÷ change in x
3/4 = (4 - 1) ÷ (x - 7)
= 
Cross multiplying gives:
3x - 21 = 12
3x = 33 , x = 33/3 = 11
Answer:
- $2300000- max profit
- 5.77 years into operation - zero profit time
Step-by-step explanation:
<u>Given function:</u>
It is a quadratic function with general form of y = ax^2 + bx + c
It opens down if a < 0 and gets maximum value at vertex which is determined at x = -b/2a
<u>For the given function vertex is:</u>
<u>Maximum value of p is:</u>
- p(3) = -3*3^2 + 18*3 - 4 = -27 + 54 - 4 = 23 ($2300000)
<u>The time when profit is zero:</u>
- -3t^2 + 18t - 4 = 0
- 3t^2 - 18t + 4 = 0
- t = (18 ± √18² - 4*3*4)/2*3 = (18 ± √276)/6 = (18 ± 16.61)/6
- t = (18 - 16.61)/6 = 0.23 this is the time when company has just started to make profit, it is not applicable as is the past time
- t = (18 + 16.61)/6 = 5.77 years into operation, after this time there will be no profit
