Answer:
32 yd
Step-by-step explanation:
The area of a triangle is calculated by multiplying each of the sides lengths together, 8x8, and dividing it by two which equals 32.
The relationship between profit and revenue is:
Profit = Revenue - Total Cost
Since the cost is given as a function, the equation will be substituted as
Profit = Revenue - (3,250 + 5x + 0.1x²)
Now, the revenue is a linear graph because it is the number of pairs multiplied the fixed rate. So, the slope is constant.
Revenue = 110x --> this is the function for revenue
Thus, the equation for profit would be
Profit = 110x - 3,250 - 5x - 0.1x²
P = -0.1x²+105x-3,250 --> this is the function for profit
Now, to find the minimum value of x to make profit, differentiate P with respect to x and equate to 0.
dP/dx = 0 = -0.2x + 105
x = 525
Thus, the Gymnast Clothing should manufacture at least 525 pairs in order to make profit.
Answer:
a1 = 2
a2 = 6 = 2.3 = a1.3
a3 = 18 = a1.3²
a4 = 54 = a1.3³
=> this is a geometric sequence with a1 = 2
q = 3
=> a11 = 2.3¹⁰ = 118098
It is given in the question that the solid is a cone with height of 16 units and radius of 7 units .
The formula of volume of cone is

To find the volume, we substitute the given values of r and h and use 3.14 for pi. That is

And that's the required volume of the cone .
Answer:
6
Step-by-step explanation:
Its 6 or 4, but leaning toward 6