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3 years ago

What is the volume of a cylinder with a radius of 3 in and a height of 9 in?

Mathematics

2 answers:

Ludmilka [50]3 years ago

6 0

Answer:

Step-by-step explanation:

$v = \pi \times {r}^{2} \times h \\ v = 3.14 \times {3}^{2} \times 9 \\ v = 254.34 \: in$

hope it helps

have a nice day

PilotLPTM [1.2K]3 years ago

5 0

I think 27 is the answer

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A landscaping business bought 8 rose bushes and 15 daylilies for $193. They went back later and bought 3 more rose bushes and 12

pantera1 [17]

Answer:

Each daylilies cost $7

Step-by-step explanation:

Step one:

let roses be x

and daylilies be y

8x+15y=193--------------1

also

3x+12y=117--------------2

we can solve equations 1 and 2 by substitution

8x=193-15y

x=(193-15y)/8

put x= (193-15y)/8 in 3x+12y=117

3((193-15y)/8)+12y=117

(579-45y)/8+12y=117

579-45y=8(117-12y)

579-45y=936-96y

collect like terms

579-936=-96y+45y

-357=-51y

divide both sides by -51

y=-357/-51

y=7

Hence each daylilies cost $7

put y=7 in eqn 1

8x+15(7)=193

8x+105=193

8x=193-105

8x=88

x=88/8

x=11

rose cost $8

6 0

3 years ago

You save for retirement over 30 years by investing $850/month in a stock account that yields 10%. You invest $350/month in a bon

sergejj [24]

Answer:

$13,287.70

Step-by-step explanation:

The future value of the stock account is computed as the sum of a geometric series. This computation assumes that the annual yield is compounded monthly.

FV = p((1+r/12)^(12n) -1)/(r/12)

For the stock account, p=850, r=0.10, n=30, so the future values is ...

FV = 850((1+.10/12)^360-1)/(.10/12)) = 1,921,414.74

For the bond account, p=350, r=.06, n=30, so the future value is ...

FV = 350((1+.06/12)^360 -1)/(.06/12) = 351,580.26

The combined account value at the end of 30 years is ...

$1,921,414.74 + 351,580.26 = $2,272,995.00

_____

The monthly payment that can be made over a 25 year period is given by the amortization formula.

A = P(r/12)/(1 -(1 +r/12)^(-12n))

= $2,272,995.00(.05/12)/(1 -(1+.05/12)^-300) = $13,287.70

You can withdraw $13,287.70 each month assuming a 25-year withdrawal period.

6 0

3 years ago

Help please show work

BARSIC [14]

Answer:

ok first you do the small one. 13 * 5 * 1/2 = 32.5 then you do 35 *1/2=17.5. you then divide 32.5/17.5=1.86

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Question 6 of 15

umka2103 [35]

Answer:

$LE=5\ units$

Step-by-step explanation:

we know that

In a rectangle, the two diagonals are congruent and each diagonal bisects the other

$LN=2KE$ ----> equation A

$KE=LE$ -----> equation B

step 1

Find the value of x

solve equation A

$LN=2KE$

substitute the given values

$(2x+2)=2(3x-7)$

solve for x

$2x+2=6x-14\\6x-2x=2+14\\4x=16\\x=4$

step 2

Find the value of KE

$KE=3x-7$

substitute the value of x

$KE=3(4)-7=5\ units$

Remember that

$KE=LE$ -----> by each diagonal bisects the other

therefore

$LE=5\ units$

8 0

3 years ago

At a baseball game, a vender sold a combined total of 192 sodas and hot dogs. The number of sodas sold was two times the number

Eddi Din [679]

Answer:

64 sodas and 32 hot dogs

Step-by-step explanation:

192 divide by 2 = 96. 96 divide by 3 = 32. 32 +32 =64 because there was 2 times as many sodas sold.64 +32=96.

8 0

3 years ago

What is the volume of a cylinder with a radius of 3 in and a height of 9 in?​

What is the volume of a cylinder with a radius of 3 in and a height of 9 in?