Acomputer manufacturer built a new facility for assembling computers. there were construction and new equipment costs. the company paid for these costs and made combined profits of $10 million after 4 years, while profits increased $7.5 million per year. select the correct graph of this function. gif there is a graph of a line that has a y intercept that is approximately negative $2 million and an x intercept that is approximately 0.7 years. there is a graph of a line that has a y intercept that is approximately negative $30 million and an x intercept that is approximately 3 years. there is a graph of a line that has a y intercept that is approximately negative $20 million and an x intercept that is approximately 2.7 years. there is a graph of a line passes through the point of x equals 0 comma y equals 0 and the point of x equals 4 comma y equals $10 million.

Given that a computer manufacturer built a new facility for assembling computers where they paid for construction and new equipment costs. This means that at the start of business by the company, the company has a negative profit.

Given that the company made combined profits of $10 million after 4 years, this means that the graph of the comany's profit against number of years will pass though point (4, 10 million)

Given that profits increased $7.5 million per year, this means that the slope of the graph of the comany's profit against number of years is $7.5 million.

The equation of a line passing though point with slope, m is given by


Thus given that the line passes through point (4, 10 million) and has a slope of 7.5 million, the equation of the line is given by


At the y-intercept, i.e. when x = 0: y = 7,500,000(0) - 20,000,000 = 0 - 20,000,000 = -20,000,000

Thus the y-intercept is negative 20 million.

At the x-intercept, i.e. when y = 0: 0 = 7,500,000x - 20,000,000
7,500,000x = 20,000,000
x = 20,000,000 / 7,500,000 ≈ 2.7

Thus the x-intercept is approximately 2.7

Therefore, the correct graph of this function is a graph of a line that has a y-intercept that is approximately negative $20 million and an x-intercept that is approximately 2.7 years.

P(chicago, illinois)

Hello!

the answer is:

the answer is:

why?

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!