Answer:
The ratio of the average change in profit when the level of production changes from 600 to 620 units per month is -24 : 5.
Step-by-step explanation:
The question is:
A company knows that if it produces "x" monthly units its utility "u" could be calculated with the expression: u (x) = - 0.04x ^ 2 + 44x-4000 where "u" is expressed in dollars. Determine the ratio of the average change in profit when the level of production changes from 600 to 620 units per month. Remember that the slope of the secant line to the graph of the function represents the average rate of change.
Solution:
The expression for the utility is:
It is provided that the slope of the secant line to the graph of the function represents the average rate of change.
Then the ratio of the average change in profit when the level of production changes is:
Compute the values of u (x₁) and u (x₂) as follows:
<em>x</em>₁ = 600
<em>x</em>₂ = 620
Compute the average rate of change as follows:
Thus, the ratio of the average change in profit when the level of production changes from 600 to 620 units per month is -24 : 5.
186 nickels x 5 grams = 930 grams
72 pennies x 2.50 grams = 180 grams
930 + 180 = 1,110
1 kilogram and 110 grams
Answer:
14.05
Step-by-step explanation:
We have the following:
Current Dividend = D0 = $ 1.40
g = growth rate = 2%
r = discount rate = 13%
Dividend in Year 5
= D5 = D0 * (1 + g) ^ 5
= $ 1.40 * (1 + 2%) ^ 5
= $ 1.40 * (1.02) ^ 5
Firm Stock Price at the end of year 4 = Dividend in Year 5 / (r - g)
= $ 1.40 * (1.02) ^ 5 / (13% -2%)
= $ 1.40 * (1.02) ^ 5 / (0.13 - 0.02)
Therefore, firm stock at the end of year 4 is
P4 = $ 1.40 * (1.02) ^ 5 / (0.13 - 0.02) = 14.05
Answer:
1.6mph
Step-by-step explanation:
speed = distance / time
speed = 4/5 / 0.5
speed = 1.6
Answer:
It's correct.
Step-by-step explanation:
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