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3241004551 [841]
3 years ago
8

What is volume of a cylinder with base area 64πcm2 and a height equal to twice the radius? Give your answer in terms of π

Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0

Answer:

1024π

Step-by-step explanation:

<em>Took a quiz, got this answer right.</em>

<u>Here are the steps anyways:</u>

64π cm² is the base area

The height is equal to twice the radius

<h3>Volume of a Cylinder: V=B×h/V=πr²×h</h3>

1. Find radius: √64 (Which is 8)

2. Double the radius, 8×2=16

3. Multiply 16 and 64π, 16×64π=1024π

hopefully this was understandable, first time answering a question

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Help me solve this image please!!!
tresset_1 [31]

Based on the information, Christian would have $5525.5 of an annuity.

<h3>How to calculate the annuity?</h3>

According to the given information, the number of coffees per week is 3 then, per month is 3x4 = 12

Each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54

Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133

n = number of payments = 8 x 12 = 96

We can use the formula for finding the future value as below

FV = C x [ ( 1 + r )n-1 ] / ( r )

FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)

= 54 x [ (1.13609 - 1)] / (0.00133)

= 54 x 0.13609 / (0.00133)

= 54 x 102.3233

= 5525.5

Therefore Christian would have $5525.5 of the annuity.

Learn more about annuity on:

brainly.com/question/5303391

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5 0
2 years ago
Dustin had $52 he got $49 more and then he spent some money dustin has $35 left how much money did dustin spend
sveta [45]
The answer: Dustin spent $66

$52+$49=$101
$101-$35=$66
5 0
3 years ago
Read 2 more answers
4+(−1 2/3) i don't get how to this cuz there aren't two fractions, just one.
kenny6666 [7]

Answer:

2 1/3

Step-by-step explanation:

4 + ( -1 2/3)

= 4 - 1 2/3

=  4 - 5/3

= 12/2 - 5/3

= 7/3

= 2 1/3



5 0
3 years ago
The histograms show the number of new subscribers in one month by age group for three newspaper. which statement is best support
Iteru [2.4K]

Answer:

D

Step-by-step explanation:

there were three times as many new subscribers in the 20-29 and the 30-39 age groups combined for the chronicle than in the 20-29 age group for the times.​

3 0
3 years ago
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You are considering developing a regression equation relating a dependent variable to two independent variables. One of the vari
lys-0071 [83]

Answer:

Step-by-step explanation:

a. How many dummy variables are needed to represent the categorical variable?

We need 1 less dummy variable than outcomes for the categorical variable.

categorical variable has 2 outcomes

So, we need 2-1 = 1 dummy variable.

Answer: 1

Note: If our categorical variable had 5 outcomes, we would need 5-1 = 4 dummy variables.

b. Write the multiple regression equation relating the dependent variable to the independent variables.

Note: Depending your your professor, this can be written one of the following ways...

yhat = a + b1 x1 + bx2

yhat = b0 + b1 x1 + b2 x2

yhat = beta0hat + beta1hat x1 + betahat2 x2

where x1 is the ratio variable

and x2 is the dummy variable

c. Interpret the meaning of the coefficients in the regression equation.

b0 = the predicted value of y when x1 and x2 both equal 0.

b1 = the change in y when x1 increases by 1 unit holding x2 constant.

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7 0
3 years ago
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