[solved] These Cylinders are similar. Find the volume of the smaller cylinder. Round to the nearest tenth. (the answer is 84.9 cm^3)

Answer:

What is typed in the attached Excel file is =FV(B4,B5,-B3,0,0).

Step-by-step explanation:

Note: See the attached excel file for the calculation of future value of an ordinary annuity.

Since we want to find the balance after 30 years, the function in the Excel is the FV function which is used to calculate the future value (FV) of an ordinary annuity as follows:

=FV(rate,nper,-pmt,0,0) …………………… (1)

rate = Monthly interest rate = APR / 12 = 8.99% / 12 = 0.0899 / 12 = 0.00749166666666667. Note: This is typed in cell B4 in attached excel file.

nper = periods = number of months = 30 years * 12 months = 360. Note: This is typed in cell B5 in attached excel file.

pmt = monthly payment = $300. Note: This is typed in cell B3 in the attached excel file. And also typed as a negative value in cell B7, i.e. as -B3.

pv = present value = 0. Note: This is the first 0 typed in cell B7 in the attached excel file.

type 0 = 0 this is typed to indicate that deposit is made at end of period as a regular or ordinary annuity. This is the second 0 typed in cell B7 in the attached excel file.

Based on the above, the FV function in equation (1) above is converted to the following which is typed in the attached Excel file to find the balance after 30 years:

=FV(B4,B5,-B3,0,0)

The above then gives a future value of $548,080.11 which is  the balance after 30 years.

Answer:

= 31

Step-by-step explanation:

So first plug in the numbers 8(7) - 4(4) - 16

then solve

56 - 16 - 9 = 31

Answer:

31

Step-by-step explanation:

8r - 4w - 9 when r = 7 and w = 4.

~Substitute

8(7) - 4(4) - 9

~Simplify

56 - 16 - 9

~Subtract

40 - 9

~Subtract

31

Best of Luck!

Answer:

x-(4+x)

Step-by-step explanation:

x is the number. and a number subtracted from the product of four and the number is basically saying x-(4+x)

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] are 6 and 4, respectively.

Step-by-step explanation:

Geometrically speaking, any line is represented by equation of the form:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

In addition, the slope is defined in terms of distinct known points. That is:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (2)

If we know that [tex](x_{1},y_{1})=(4,b)[/tex], [tex](x_{2}, y_{2}) = (a, 8)[/tex] and [tex]m = 2[/tex], then the slope is:

[tex]\frac{8-b}{a-4} = 2[/tex]

[tex]8-b = 2\cdot (a-4)[/tex]

[tex]8-b = 2\cdot a -8[/tex]

[tex]b = 16-2\cdot a[/tex]

There is more than one option. If we assume that [tex]a = 6[/tex], then [tex]b[/tex] is:

[tex]b = 16-2\cdot (6)[/tex]

[tex]b = 4[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] are 6 and 4, respectively.

9514 1404 393

Answer:

  q = 58

Step-by-step explanation:

If the variation is inverse, when p is multiplied by 1/2, q will be multiplied by the inverse (reciprocal) of 1/2, which is 2/1 = 2.

When p = (1/2)(28), q = (2)(29) = 59

  q = 58

Answer:

3

Step-by-step explanation:

Given a line with points; (2, 5) (3, 8).

1. Find the slope of the given line

The formula for finding the slope is:

[tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]

Substitute in the values;

[tex]x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8[/tex]

[tex]\frac{8-5}{3-2}[/tex]

simplify;

[tex]\frac{3}{1}[/tex]

= 3

2. Find the slope of the parallel line;

Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.

Answer:

1/x^3 and 1/a^2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

cause if you divided 5 by 4 you'd get 1.25 then times that by 8 it'll give you 10 thus the answer is b

Answer:

y = -2x - 3

Step-by-step explanation:

Given:

Equation of -x +2y =4

Point of (-2,1)

-x + 2y = 4

y = x/2 + 2 or y = 1/2x + 2

Which means the equation's slope is m = 1/2.

The slope of the perpendicular line is negative inverse which is m = -2.

Now we have an equation of y = -2x + a.

Use (-2, 1) to find a:

1 = (-2)(-2) + a

a = -3

y = - 2x - 3

Answer:

18 legs

Step-by-step explanation:

2 legs 9 chickens.

2*9 which is 18.

Hope this helps ;D

Answer:

7) y = -2

8) x = 4

Step-by-step explanation:

Any straight horizontal/vertical line you find will be x= or y=. The vertical lines are always x= because they only touch the x axis. It's the opposite for horizontal lines. For example, on number 7, the line touches -2 on the y axis. That's why it's "y=-2". Same goes for 8. the line only touches 4.

I hope this helped and wasn't confusing!

Answer:

144

Step-by-step explanation:

You will multiply 4 tablespoons by the number of cups, that is how you get your answer.  ; )

Answer:

$1.40

Step-by-step explanation:

I used a unit rate to understand it.

$70/50

70÷ 50= 1.4

50÷50=1

1.4/1 = 1.4 OR $1.40, adding a zero doesn't change it amount, it just places a filler, so the final answer is, one dollar and forty cents.

Step-by-step explanation:

When it says you need to prove something

you need to place a statement about what you need to prove

and then a reason for why.

In this case

You need to prove that

Side AB is congruent (identical in form) to Side ED

Answer:

d=35

Step-by-step explanation:

Answer:

y=mx + b

Step-by-step explanation:

y= y intercept coordinate

m=slope=x coordinate

b = y intercept

Answer: 0.96875

Step-by-step explanation:

Probability of obtaining at least one tail on a toss of coin 5 times ;

P(success) in a coin toss = 1/2 = 0.5

Using the binomial distribution formula :

P(x) = nCx * p^x * (1 - p)^(n-x)

P(at least one tail) = 1 - p(0 tails)

P( 0 tails) = 5C0 * 0.5^0 * 0.5^(5-0)

= 1 * 1 * 0.03125

= 0.03125

P(at leat 1 tail) = 1 - 0.03125

P(atleast 1 tail) = 0.96875

Answer:

none of these

Step-by-step explanation:

Answer:

Negative 1/8 is the answer

Answer:

y = 2x - 13

Step-by-step explanation:

Equation of a line is y = mx + c, m is the gradient and c is the intercept

The line passes through points 4 and -5, x is 4 and y is -5

-5 = 4m + c

When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1

x + 2y = 5

2y = -x + 5

y = (-1/2 * x) + 5

therefore m = -1/2

m1 * m2 = -1

m * -1/2 = -1

-m = -2 , therefore m = 2

-5 = 4 * 2 + c

c = -5 - 8, which is -13

Therefore the equation for the line is

y = 2x - 13

Answer:

C. a => c

Step-by-step explanation:

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answer: everything is false lol

Answer: The answer should be 9 2/7 I suppose.

3y

Step-by-step explanation:

Answer:

96.93

Step-by-step explanation:

89,75+

Answer:

1/5 and -k/5+2

Step-by-step explanation:

inverse of 5= 1/5

swap the variables: y=10−5k becomes k=10−5y

Now, solve the equation k=10−5y

for y

y=−k/5+2

Answer:

72 degrees

Step-by-step explanation:

4x+6x=180

10x=180 combine like terms

10x/10=180/10

x=18

4(18) = 17

Answer:

−3x⋅(x+6)⋅(x−8)

Step-by-step explanation:

hp this helps