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3 years ago

13

Liz has 72 stamps in her stamp collection. Risa, who just started her collection, has 9 stamps. Liz’s collection is how many tim

es larger than Risa’s? Choose the answer that has the correct equation AND the correct solution to the equation

2 answers:

slega [8]3 years ago

7 0

Answer:

The answer is: 9x = 72, x = 8

tamaranim1 [39]3 years ago

3 0

Answer:

8

Step-by-step explanation:

simplify 8/1= 8

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Jet001 [13]

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3 years ago

When you add the same number to both sides of an inequality,is the inequality still true?Explain how you know that your conjectu

Olegator [25]

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Goshia [24]

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Round 0.8888 to 1 significant figure

Tanzania [10]

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3 years ago

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.

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3 years ago