Answer: The change in revenue for the sale of 1 more doghouse $ 66.67 dollars
Explanation: Differential is a function that can be used to approximate function value with a great degree of accuracy. This is done by the following.
Mathematical definition of derivative: f'(x) = lim f(x+Δx) - f(x)/Δx.
If Δx is very small:
f'(x) . Δx ≅ f(x+Δx) - f(x)
Knowing that Δy ≅ f(x+Δx) - f(x) and the diferential of variable x can be written by dx as the variable y can be dy:
dy = f'(x) dx
which means that the differential dy is approximately equal to the change Δy, if Δx is very small.
For the question, R(x) = y(x) = 14,000ln(0.01x+1)
f'(x) =
Using the chain rule, the derivative will be:
f'(x) = 14,000.
dy = 14,000..dx
dx is the change in x. For the question, the change is 1 (1 more doghouse) and x is 110:
dy = 14,000
dy =
dy = 66.67
The change in revenue is $66.67 dollars.
Answer:
Rate= 168.65%
Explanation:
When loans are collected there is interest that is paid on the principal collected. The interest is usually expressed as a percentage per year.
The following formula is used to calculate interest rate
Interest = principal* rate* time
We are asked to calculate annual percentage
Rate = interest/(principal * time)
Interest bis paid every two weeks. That is twice a month, and there are 12 months in a years. That is 2*12= 24 times.
Total interest per year= 24* 26= $624
Using the formula
Rate= 624/(370*1)
Rate = 1.6865
Rate= 168.65%
Penetration rate is popularity of an item in terms of usage or purchase.
It is measured by these three steps:
1) Determine the market penetration of the product. (Number of people who buy or use product).
2) Compute the brand penetration. (Number of people who buy or use the brand divided by the market size).
3) Calculate the brand pentetration share. (Ratio of the brand penetration to the market penetration. This will be represented as a percentage.
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