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2 years ago

An artist can sell 20 copies of a painting at $100 each, but for each additional copy he

Mathematics

1 answer:

FinnZ [79.3K]2 years ago

7 0

Answer:

make 10 copies and each will be sold for 200dollars

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Can somebody solve this multi-step equation?<br> 4(x-2)=4x

ladessa [460]

Download the aappp called Socratic

3 0

3 years ago

A population of size 3,624 grows at a rate of 3% per year, compounded continuously. How big will the population be in 2 years?

rodikova [14]

Answer:

Step-by-step explanation:

The continuous compound formula is

$y=Pe^{rt$ where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:

$y=3624e^{(.03)(2)}\\y=3624e^{.06}\\y=3624(1.061836547)\\y=3848.09$

which would probably round to just 3848 people.

8 0

2 years ago

. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum

Drupady [299]

Answer:

$r=1.05\ \text{ft}$

$h=2.12\ \text{ft}$

$20.91\ \text{ft}^3$

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = $7.35\ \text{ft}^3$

$V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}$

Surface area is given by

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}$

Differentiating with respect to radius we get

$\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}$

Equating with zero we get

$0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05$

$\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0$

So, the value of the function is minimum at $r=1.05$

$h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12$

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.

Surface area

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3$

The minimum surface area is $20.91\ \text{ft}^3$ .

8 0

3 years ago

An elementary school teacher wants to know if the words in a book are too difficult for her students. She reads the first senten

raketka [301]

Answer:

d.every word in the first sentence of the first page of every chapter.

Step-by-step explanation

the sample space means the set of total possible outcomes or ALL possible outcomes.

so here, the situation is about the teacher reading a sentence.

the favorable outcome is the set which has all the words that the students would not know from all the words read by the teacher or simply from the sample space.

since the teacher reads the first sentence on the first page in every chapter , all the words in that sentence will be sample in this situation.

7 0

2 years ago

Please help( I will give brainliest) <br><br> Thanks

Katen [24]

Answer:

i think it's c.

Step-by-step explanation:

sorry if this is wrong

5 0

2 years ago