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3 years ago

Instructions below in the image

Mathematics

2 answers:

deff fn [24]3 years ago

7 0

The answer is y = 1x - 17

Juli2301 [7.4K]3 years ago

5 0

Answer:

$y = 17x - 22$

Step-by-step explanation:

hope this helps you out!

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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

3 years ago

4. Simplify the expression by combining like terms. 8a+6b+5a+2b *

marissa [1.9K]

Answer:

Step-by-step explanation:

Add the like terms, the a's by themselves and b's by themselves.

8a+5a=13a

6b+2b=8b

so 13a+8b

7 0

3 years ago

Math Help PLEASE! ASAP

alekssr [168]

1. 50% of the budget is spent on other:
5,000 x 0.50 = 2,500
Answer is $2,500

2. a full circle = 360 degrees
40% = 0.4
360 * 0.4 =144 degrees

3. third one shows the correct circle graph

5 0

4 years ago

Express 14 : 44 in the lowest term.

SpyIntel [72]

Answer:

7:22

Step-by-step explanation:

3 0

3 years ago

The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input w

masha68 [24]

Answer:

Area of polygon MNOPQR = 13 units

Step-by-step explanation:

Area of smaller rectangle:

(7-3)= 4 units multiplied by (3-2) = 1 unit

= 4 sq. units.

Area of polygon MNOPQR

= 3*3 units + 4*1 units

= 9 units + 4 units

= 13 units

6 0

3 years ago