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2 years ago

The workers at the help line answers 24 phone calls every 2hours how many phone calls do the workers answer in 8hours

Mathematics

1 answer:

balandron [24]2 years ago

3 0

Answer:

the answer is 24 calls

Step-by-step explanation:

set the proportion

24/2=x/8

8×24=8x

192=8x

divide by 8

x=24

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The publisher of a recently released nonfiction book expects that over the first 20 months after its release, the monthly profit

wolverine [178]

Answer:

(a) $\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

(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:

$P(t)=\frac{240t-40t^2}{t^2+20}$

(a)We want to derive a model that gives the Marginal Profit, P' of the book.

We differentiate

$P(t)=\frac{240t-40t^2}{t^2+20}$ using quotient rule.

$\frac{dP}{dt}=\frac{(t^2+20)(240-80t)-(240t-40t^2)(2t)}{(t^2+20)^2}$

Simplifying

$\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

We have derived a model for the marginal profit.

(b) After 5 months, at t=5

Marginal Profit=P'(5)

$\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

$P^{'}(5)=\frac{4800-1600(5)-240(5)^2}{(5^2+20)^2}$

=-($4.54) Thousand of dollars

(c)Marginal Profit 11 Months after book release

$P^{'}(11)=\frac{4800-1600(11)-240(11)^2}{(11^2+20)^2}$

=-($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.

6 0

2 years ago

How do I solve this equation?

Keith_Richards [23]

Answer:

$y=\frac{7}{2}x+11$

Step-by-step explanation:

To solve, we need to find the y-intercept (b). In order to find the y-intercept, we can plug in the slope and the (x,y) coordinate pair given to us into the equation to solve for the y-intercept:

y=mx+b

4=(-7/-2)*-2+b

4=14/-2+b

4=-7+b

Add 7 to both sides

b=11

Therefore the equation is:

$y=\frac{7}{2}x+11$ (note that the fraction is positive since the two negatives cancel out)

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2 years ago

Fourth grade level. Use mental math to find 7x53

Mrrafil [7]

Answer:

371

Step-by-step explanation:

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2 years ago

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Help im new and need help please the thing is 9.9 x 7 =__._ help please

Bezzdna [24]

Answer:

69.3 is the answer

{ Hello and welcome to Brainly :) i hope i helped }

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2 years ago

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Write 0.192 and 0.042 as a fraction. Write 189/1000 and 3/1000 as a decimal.

luda_lava [24]

Answer:

0.192 = 24/125

0.042 = 21/500

189/1000 = 0.189

3/1000 = 0.003

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2 years ago

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