Answer:
(a)
(b)P'(5)=-($4.54) Thousand
(c)P'(11)=-($2.10) Thousand
(d)The fifth Month
Step-by-step explanation:
Given the monthly profit model:
(a)We want to derive a model that gives the Marginal Profit, P' of the book.
We differentiate
using quotient rule.
Simplifying
We have derived a model for the marginal profit.
(b) After 5 months, at t=5
Marginal Profit=P'(5)
=-($4.54) Thousand of dollars
(c)Marginal Profit 11 Months after book release
=-($2.10) Thousand of dollars
(d) Since the marginal profit at t=5 is negative, after the 5th Month, the profit starts to experience a steady decrease.
Answer:
4
Step-by-step explanation:
Since the question is asking how long will it take him if he has to drive 240 miles and he drives 60 mph, this can be interpreted as division.
Now that we have converted the words into math, we are really solving 240 ÷ 60 or 
.
240 divided by 60 is the same as 24 divided by 6 because we can cancel the 0's.
Solving:
24 ÷ 6 = 4.
Thus, our answer is that it will take Charlie 4 hours to get to Dallas.
A=2...
Subtract 14 from both sides,then subtract 8 from both sides. Your left with
6a=12
6x1=6
6x2=12
A=2
Answer:
2.87 = AC
Step-by-step explanation:
Since this is a right triangle we can use trig functions
sin theta = opp / hyp
sin 35 = AC /5
5 sin 35 = AC
2.867882182= AC
To the nearest hundredth
2.87 = AC
Answer:
x = 10
Step-by-step explanation:
Using the rules of logarithms
• log x + log y ⇔ log(xy)
• log
⇔ n log x
• log x = log y ⇒ x = y
Given
ln20 + ln5 = 2 lnx , then
ln(20 × 5) = ln
ln 100 = ln, hence
x² = 100 ( take the square root of both sides )
x = 10
