Answer:
f(2) = $180.22
f'(2) = $130.00/week
f'(2)/f(2) = 72.13%
Two weeks after the DVD was released, the revenue from sales is $180.22 and is increasing at a rate of $130 per week, or 72.13% per week.
Step-by-step explanation:
The revenue from sales, in dollars, as a function of time, in weeks, is given by:
After two weeks (t=2), the revenue from sales is:
The rate of change, which is given by the derivate of the revenue function, at t = 2 weeks is:
The relative rate of change is:
Therefore, Two weeks after the DVD was released, the revenue from sales is $180.22 and is increasing at a rate of $130 per week, or 72.13% per week.
Answer:
Step-by-step explanation:
18/32 is the same as 9/16 or 0.5625
Answer:
profit = 129.63% (to the nearest hundredth) as a percent of the price the store paid for the book
Step-by-step explanation:
Use the percentage change formula:
percent change = [ (difference between the initial value and the final value) ÷ initial value] x 100
= [ (6.20 - 2.70) ÷ 2.70 ] x 100
= [ 3.5 ÷ 2.70 ] x 100
= 37/27 x 100
= 129.6296296...
= 129.63% (to the nearest hundredth)
3y=x-3
y=1/3x-1
Perpendicular slope: -3
y=-3x+b
Plug in the coordinates in the equation:
-9=-3(5)+b
-9=-15+b
4=b
Equation: y=-3x+4
Also, when finding the perpendicular slope you take the reciprocal of the original slope and make it negative if it is positive and make it positive if it’s negative.
