Answer:
see explanation
Step-by-step explanation:
Assuming the fractions are being multiplied
Factorise the denominators of both fractions
x² - 3x - 10 = (x - 5)(x + 2)
x² + x - 12 = (x + 4)(x - 3)
The product can now be expressed as
×
Cancel (x - 5) and (x + 2) on the numerators/ denominators, leaving
=
Answer:
Step-by-step explanation:
From the question we are told that:
Rate
Height
Radius
Generally the equation for Volume of Cone is mathematically given by
Differentiating
A function that gives the amount that the plant earns per man-hour t years after it opens is
Given that
A manufacturing plant earned $80 per man-hour of labor when it opened.
Each year, the plant earns an additional 5% per man-hour.
Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.
Amount earned by plant when it is opened = $80 per man-hour
As it is given that each year, the plants earns an additional of 5% per man hour
So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)
Amount earned by plant after two years is given as:
Similarly Amount earned by plant after three years
Hence a function that gives the amount that the plant earns per man-hour t years after it opens is