Answer:
P(x) = (0.049x - 0.0000015x²)
Step-by-step explanation:
price per sticker is 0.14 − 0.000002x dollars
total cost of producing the order is 0.091x − 0.0000005x² dollars.
P(x) = profit = Revenue - Cost
Let the number of units of stickers made be x
Revenue = (price per sticker) × (total units sold) = (0.14 − 0.000002x) × (x)
= (0.14x - 0.000002x²) dollars.
Cost of producing x units in the order = (0.091x − 0.0000005x²)
P(x) = 0.14x - 0.000002x² - (0.091x − 0.0000005x²) = 0.14x - 0.091x - 0.000002x² + 0.0000005x²
= (0.049x - 0.0000015x²)
P(x) = (0.049x - 0.0000015x²)
Hope this Helps!!!
Answer:
0.5%/year
24.2%
Step-by-step explanation:
Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation
Percentage of females by year:
1980 = 6.2%
1990 = 10.8%
2000 = 13.6%
2012 = 21.7%
Average yearly increase :
Percentage increase between 1980 - 2012 :
2012% - 1980% = ( 21.7% - 6.2%) = 15.5% increase over [(2012 - 1980)] = 32 years
15.5 % / 32 years = 0.484375% / year = 0.5%/year
b. Estimate the percentage of first-year college females who will claim no religious affiliation in 2030,
Given an average increase of 0.484375% / year
(2030 - 1980) = 50 years
Hence by 2030 ; ( 50 years × 0.484375%/year) = 24.218% will claim no religious affiliation.
=24.2% (nearest tenth)
Answer:
y=-4/10x+ 5 or y=-0.4x+5
Step-by-step explanation:
The formula for slope is y=mx+b. The "m" is the slope, the "x" is constant, and "b" is your y-intercept.
1. Figure out your slope:
Easiest way to do this is by using rise/run. You. take your point to the left and count how many spaces up or down it is from the second point, and then repeat that across the x-axis.
2. Determine whether it is positive or negative
A line with a positive slope is going to be angled upward and a line with a negative slope will be angled downward
3. Find the y-intercept
Simply look at the graph and find where the line crosses the y-axis
4. Plug everything into the equation
Once you do Steps 1-3, just plug everything in and you're done! If you have any questions, feel free to ask!
First, get the area of the rectangular yard.
Area = L x W
Area = 16 X 14
Area = 224 square feet
Get the area of the circular fountain.
Area = pi x r^2
Area = 3.1415 x (4/2)^2
Area = 12.57 square feet
Getting grass portion.
224 - 12.57 = (C) 211.43 square feet
Answer:
g = 15 - m/28
Step-by-step explanation:
let g = gasoline
let m = miles
since you can drive 420 miles with 15 gallons of gas, you can drive 28 miles with one gallon (= 420/15 = 28)
e.g.
you drive 100 miles, then you will have:
g = 15 - 100/28 = 15 - 3.57 = 11.43 gallons of gas left
you drive 240 miles:
g = 15 - 240/28 = 6.43 gallons
