Answer:
The annual percentage rate of change for the population of Oregon is of 8.125%.
Step-by-step explanation:
Total percentage change:
Change multiplied by 100 and divided by the initial value.
Change: 8.7 - 4.8 = 3.9 million
Initial value: 4.8
Percentage change: 3.9*100/4.8 = 81.25%
Annual percentage rate of change
81.25% during 10 years(from 2000 to 2010).
So, per year
81.25%/10 = 8.125%
The annual percentage rate of change for the population of Oregon is of 8.125%.
Answer:

Step-by-step explanation:
Factor the numerator and cancel common factors from numerator and denominator.

Answer:
D is the answer
Step-by-step explanation:
We want a mixture of low-fat and whole milk to equal 32ounces
Therefore, we know one equation is:
l + w = 32
That 32 ounce mixture should be 2% butter fat
So the amount of butter fat we want is
2% of 32 = 0.64 ounces
At the same time, this mixture contains low-fat and whole milk, which contain 1% and 3.25% butter fat respectively.
therefore, the butter fat in low-fat and whole milk is 0.01l and 0.0325w respectively.
The coefficients are just the percentages in decimal form
Due to the law of conservation of mass,
The addition of these two should yield the final amount of butter fat, meaning the other equation is:
0.01l + 0.0325w = 0.64
Answer:
Minimum average cost = 743.75
Number of dvds to achieve the cost = 62.5
Step-by-step explanation:
Given the cost equation
C = 0.04x² − 5x + 900
To Obtian the minimum average cost ;
Find dc/dx = 0
Diffentiate cost, c it ith respect to x
dc/dx = 2(0.04x) - 5
dc/dx = 0.08x - 5 = 0
0.08x = 5
x = 5 / 0.08
x = 62.5
Substitute the value of x into C to obtain the minimum average cost
C = 0.04(62.5)² - 5(62.5) + 900
C = 743.75