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elixir [45]
3 years ago
9

Serenity works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commision o

n top of her base salary equal to 25% of her total sales for the week. How much would Serenity make in a week in which she made $1075 in sales? How much would Serenity make in a week if she made x dollars in sales?
Mathematics
1 answer:
madam [21]3 years ago
5 0

Answer:

$568.75

Step-by-step explanation:

Serenitys salary s is given by the equation:

s = 300 + 0.25*x

In case of x = 1075:

s = 300 + 0.25*1075 = 568.75

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You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes long
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Step-by-step explanation:

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3 years ago
A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula
Ilia_Sergeevich [38]

Answer: A. A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}

              B. A'(5) = 1.76 cm/s

Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

A=\pi.r^{2}

So to find the rate of the area:

\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}

\frac{dA}{dr} =2.\pi.r

Using r(t)=3-\frac{363}{(t+11)^{2}}

\frac{dr}{dt}=\frac{726}{(t+11)^{3}}

Then

\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]

\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}

Multipying and simplifying:

\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}

The rate at which the area is increasing is given by expression A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}.

B. At t = 5, rate is:

A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}

A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}

A'(5)=\frac{2408693760\pi}{4294967296}

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5 0
2 years ago
Please help 10 FREE POINTS!!!!
Maurinko [17]

Answer:

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Step-by-step explanation:

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