To determine the number of years when the company will breakeven, we use the equation given. At the breakeven point, the company has no profit and loses. So, we P(x) = 0. We calculate as follows:
<span>P(x) = x3 – 4x2 + 3x – 12
0 = </span>x^3 – 4x^2 + 3x – 12
x = 4 , 1.732i, -1.732i
Solving for x, we will have three value one real and 2 imaginary values. Since time cannot be negative and imaginary. The answer would be 4. After 4 years, the company will break even.
First find out how fast they run 1 mile by dividing the time they ram ( 30 minutes) by the number of miles they ran (4)
30 minutes / 4 miles = 7.5 minutes per mile
now we know how fast they run divide the new overall time (48 minutes) by the speed (7.5 minutes) to find the number of miles they will run
48 / 7.5 = 6.4 miles
B = 2 + 2H
A = 20 ft^2
H = H
Since the Area of a Triangle is Base * Height then the formula should be:
A = BH
20 = H(2+2H)
20 = 2H^2 + 2H
0 = 2H^2 + 2H - 20
Find the zeros of the quadratic equation through substituting the values of a,b, and c. You will get the zeros of x = 2.7 and -3.7. The only thing that would make sense is you use the x=2.7 because there are no negative heights.
Since b = 2h+2
b= 2(2.7) + 2
b= 5.4 + 2
b=7.4
I don't know where you got 4 and 10, but what I got is different.
2024 + 0.17(2024) = 2368.08
2368.08 - 0.15(2368.08) = 2012.868
The final amount is 2012.868.
Hope this helps!! :)