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3 years ago

Determine if each rectangle is a scale drawing of the given rectangle. Explain why or why not.

Mathematics

1 answer:

iogann1982 [59]3 years ago

3 0

Answer:

a is not to scale but b is

Step-by-step explanation:

5:20

is the same as 5/20

and 5/20 is equal to 10/40

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The last number is 110

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Answer:

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Step-by-step explanation:

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Your friend tells you that if you let him keep 50 of your Pokemon cards for a month, he will give you 1 card extra

ivolga24 [154]

Answer:

0.2682 or 26.82%

Step-by-step explanation:

The monthly interest rate (r) that your friend is willing to pay is:

$r=\frac{1}{50}=0.02$

The following expression converts a monthly interest rate (r) into an annual interest rate (i):

$r=\sqrt[12]{1+i}-1$

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3 years ago

The management of Ditton Industries has determined that the daily marginal revenue function associated with selling x units of t

barxatty [35]

Answer:

(a) The daily total revenue realized from the sale of 210 units of the toaster oven is $6,195.

(b) The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is $1,400.

Step-by-step explanation:

The marginal revenue gives the actual revenue realized from the sale of an additional unit of the commodity given that sales are already at a certain level. The derivative <em>R'</em> of the function <em>R</em> measures the rate of change of the revenue function.

We know that the daily marginal revenue function is given by

$R'(x) = -0.1x+40$

(a) To find the the daily total revenue you must:

Integrate the daily marginal revenue function,

$\int R'(x)dx = \int(-0.1x+40)dx\\\\R(x)=-\int \:0.1xdx+\int \:40dx\\\\R(x)=-0.05x^2+40x+C$ ,

where C is a constant.

Find the value of C, using the fact that if you sell 0 units your daily revenue is $0.

$0=-0.05(0)^2+40(0)+C\\C=0$

$R(x)=-0.05x^2+40x$

The daily total revenue realized from the sale of 210 units of the toaster oven is

x = 210 units

$R(210)=-0.05(210)^2+40(210)\\R(210)=-210^2\cdot \:0.05+8400\\R(210)=-2205+8400\\R(210)=6195$

(b) To find the additional revenue realized when the production (and sales) level is increased from 210 to 310 units you must:

Find the daily total revenue realized from the sale of 310 units

$R(310)=-0.05(310)^2+40(310)\\R(310)=-310^2\cdot \:0.05+12400\\R(310)=-4805+12400\\R(310)=7595$

The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is

$R(310)-R(210)=7595-6195=1400$

3 0

4 years ago