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frozen [14]
3 years ago
8

A phere has a diameter of 12 ft. What is the volume if the sphere? Give the exact value in terms of pi

Mathematics
2 answers:
Usimov [2.4K]3 years ago
5 0

Answer i took the test 288

Gekata [30.6K]3 years ago
3 0

if the diameter of it is 12, its radius is half that or 6.

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3} \begin{cases} r=radius\\ \cline{1-1} r=6 \end{cases}\implies V=\cfrac{4\pi (6)^3}{3}\implies V=288\pi

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Rita can make 8 cakes for a bakery each day. So far, she has orders for more than 32 cakes. Right now, Rita needs more than four
Andru [333]

Answer:

x > 4

Step-by-step explanation:

Calling x the number of days Rita needs to bake the total amount of cakes, then inequality is x*8 > 32. Because she has orders for more than 32 cakes and can make 8 cakes per day. Dividing by 8 every side of the inequality gives: x > 4. Graph of the solution is attached (notice that 4 is not included).

5 0
4 years ago
The principal amount, $4200, earns 3.6% interest compounded monthly.
svlad2 [7]

Answer:

a)

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 4,200.00 at a rate of 3.6% per year  compounded 12 times per year  over 10 years is $5667.28.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

where

P represents the principal amount

r represents Annual Rate

n represents the number of compounding periods per unit t, at the end of each period

t represents the time Involve

b) What will the value be after 10 years?

Given

The principal amount  P = $4200

Annual Rate r = 3.6% = 3.6/100 = 0.036

Compounded monthly = n = 12

Time Period = t

To Determine:

The total amount A = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

substituting the values

A\:=\:4200\left(1\:+\:\frac{0.003}{12}\right)^{\left(12\right)\left(10\right)}

\:A\:=\:4200\left(1.0025\right)^{120}

A=5667.28 $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 4,200.00 at a rate of 3.6% per year  compounded 12 times per year  over 10 years is $5667.28.

6 0
3 years ago
A camera manufacturer spends $2250 each day for overhead expenses plus $6 per camera for labor and materials. The cameras sell f
mart [117]
16x = 2250 + 6x
x = 225
So he must sell 225 cameras

16(275) = 4400
6(275) = 1650

4400 - (1650 + 2250) = 500
$500 profit


6 0
4 years ago
Read 2 more answers
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Nostrana [21]

Answer:

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Step by step explanations

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8 oranges & 12 apples
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2 years ago
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