what is. the solution to this equation: 6r=33​

Answer:

The radius is 5.25

Step-by-step explanation:

The radius is always exactly 1/2 of the diameter!

Hope this helps! <3

Let x be the number of counters in the bag.

Pr(red counter) is drawn first = 7/x

Pr(blue counter) is drawn first = (x-7)/x

Pr(counters will be same) = 8/15

with replacement:

P^req= 7/7+x × x/7+x= 7/15

so, the total number of counters in the bag before any counters are taken from the bag are 7/15.

We will see that the first odd number is 13 and the second odd number is 15, the product is:

P = 13*15 = 195

Let's say that the first number is x, the next odd number will be x + 2.

The sum of these two odd numbers must be 2, then we need to solve the linear equation:

x + (x + 2) = 28

We can solve that for x:

2x + 2 = 28

2x = 28 - 2 = 26

x = 26/2 = 13

Then the first number is x = 13 and the second number is  x + 2 = 13 + 2 = 15.

The product of these two numbers is:

13*15 = 195

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Correlation measures the relationship between variables

The true statements are:

For a correlation coefficient to be valid, the following, must be true:

Using the above highlights, the true statements are: (b) (c) and (e)

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Answer:

59

Step-by-step explanation:

1534/26=59

It's 59 because I used a calculator

Answer:

{x,y} = {7,-9/2}

Step-by-step explanation:

System of Linear Equations entered :

 [1]           25-x=-4y

 [2]           3x-2y=30

Equations Simplified or Rearranged :

  [1]    -x + 4y = -25

  [2]    3x - 2y = 30

Graphic Representation of the Equations :

   4y - x = -25        -2y + 3x = 30  

Solve by Substitution :

// Solve equation [1] for the variable  x

 [1]    x = 4y + 25

// Plug this in for variable  x  in equation [2]

  [2]    3•(4y+25) - 2y = 30

  [2]    10y = -45

// Solve equation [2] for the variable  y

  [2]    10y = - 45

  [2]    y = - 9/2

// By now we know this much :

   x = 4y+25

   y = -9/2

// Use the  y  value to solve for  x

   x = 4(-9/2)+25 = 7

Solution :

{x,y} = {7,-9/2}

Answer:

x=7, y=-4.5 or (7, -4.5)

Step-by-step explanation:

Hi there!

We are given the following system of equations:

25-x=-4y

3x-2y=30

Before we do anything, let's move our x and y values to one side, while keeping the numbers on the other side

So for 25-x=-4y, start by adding 4y to both sides

25-x=-4y

  +4y  +4y

_____________

25 + 4y - x = 0

Now subtract 25 from both sides

4y - x = -25

Now the system is this:

4y-x=-25

3x-2y=30

We can solve this equation by substitution, where we solve one of the equations for one of the variables, and then use the expression that the variable is equal to, in order to find the value of the other variable. Then, once the value of that variable is found, use that value to find the value of the first variable.

Start with 4y-x=-25

Subtract 4y from both sides

-x=-4y-25

Now multiply both sides by -1

x=4y+25

Substitute 4y+25 as x in 3x-2y=30

3(4y+25)-2y=30

Multiply

12y+75-2y=30

Simplify

10y+75=30

Subtract 75 from both sides

10y=-45

Divide both sides by 10

y = -4.5

Now substitute -4.5 as y in x=4y+25

x=4(-4.5)+25

Subtract

x= -18 +25

x= 7

The answer is x=7, y=-4.5. As a point, it's (7, -4.5)

Hope this helps!

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Answer:

the difference is 0

Step-by-step explanation:

[tex]\large \text Mean =\frac{3+8+10+15}{4} = 9[/tex]

[tex]\large \text{Median} =\frac{8+10}{2} =9[/tex]

the difference = 9 - 9 = 0

Answer:

47,200,000,000

Step-by-step explanation:

[tex]4.72*10^{10}[/tex]  is in scientific form (notation).

To change this to standard form, we must move the decimal over the amount in the exponent. In this case, that is 10.

Answer:

Step-by-step explanation:

Answer: b = 4f

Step-by-step explanation:

     Since every flashlight needs 4 batteries, every flashlight added (f) will be 4 more batteries needed total (b). With this information in mind, we can write the equation:

             b = 4f

Answer:

b = 4f

Step-by-step explanation:

4 batteries per flashlight

Answer:

3000m

Step-by-step explanation:

First, note that km is the same as kilometers and m is the same as meters. Thus, when you are asking to convert 3 km to m, you are asking to convert 3 kilometers to meters.

A kilometer is larger than a meter. Simply put, km is larger than m. In fact, a kilometer is "10 to the power of 3" larger than a meter.

Since a kilometer is 10^3 larger than a meter, it means that the conversion factor for km to m is 10^3. Therefore, you can multiply 3 km by 10^3 to get 3 km converted to m.

Here is the answer with the math showing you how to convert 3 km to m by multiplying 3 by the conversion factor of 10^3.

3 x 10^3

= 3000

3 km

= 3000 m

Answer:

3000 m

Step-by-step explanation:

Unit conversion :

Solving :

Answer:

compute the company's price-to-earnings (P/E) ratio.

Step-by-step explanation:

When companies issue additional shares, it increases the number of common stock being traded in the stock market. For existing investors,

Answer:

well, y=8 and x=50

Step-by-step explanation:

you actually have the angle 128 wrong, and  it is suppose to be 32 degrees, which changes it up and all you have to do to find y because angle 32 and 4y are vertical, is divide 32/4=y which is 8, for x, it is vertical to 148 making those even, and it would be as simple as reversing the equation so, 148+2=150, and ddivided by 3 is 50 degrees

Answer:

x=50

y=8

Step-by-step explanation:

3x-2 and 148 are vertical angles and vertical angles are equal

3x-2 =148

Add 2 to each side

3x-2+2 =148+2

3x= 150

Divide by 3

3x/3 =150/2

x = 50

148 and the empty angle form a straight line so they add to 180

180-148 = 32

The empty angle is 32

4y  and 32 are vertical angles so they are the same

4y = 32

4y/4 = 32/4

y = 8

Answer:

3.

Step-by-step explanation:

Hey there!

This scenario shows that Victoria ate 6/7 of a pizza and ate 1/4 of that pizza the same day for dinner showing that she at one fourth of the six-sevenths pieces

Answer:

It is the third one.

Step-by-step explanation:

Let's take a look at each story. We need to find out which story is [tex]\frac{6}{7}[/tex]×[tex]\frac{1}{4}[/tex].

1. Victoria drinks six-sevenths of a cup of milk. She drinks one-fourth of a cup more of milk. How much milk did she drink in all?

This story is adding the fractions together since it wants to know how much did she drink in ALL. So this is not it.

(Here are some keywords to tell you if you need to add, altogether, all, in all, together, total, total number, add, increase, increased by, more than.)

2. Mike walked one-fourth mile and then he took the bus for six-sevenths mile to school. How many miles did he travel in total?

Once again this story is adding. It uses the word total. So this is not it.

3.Victoria has six-sevenths of a pizza. She ate one-fourth of it for dinner. How much pizza did Victoria eat for dinner?

This is correct since it wants to know how much she ate for dinner. She ate [tex]\frac{1}{4}[/tex] of [tex]\frac{6}{7}[/tex] of the pizza.

4.Mike has six-sevenths of a pie. He gives one-fourth to his brother. How much pie does he have left

This story is subtracting. So it is not it. (Subtracting words, minus, greater than, take away, fewer than, less than, subtract, decreased by.)

Answer:

Step-by-step explanation:

You have dimensions of the original and scaled figures.

The missing dimension can be found using proportions as below

Answer:

Class 1.

Step-by-step explanation:

Class 1 has the greater interquartile range.

Answer:

Class #2

Step-by-step explanation:

IQR of Class #1:

85 - 72 = 13

IQR of Class #2:

90 - 70 = 20

Class #2 has a greater IQR!

Hope this helps!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - 10 + 5(78 + 8) < - 4s + 3 - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 10 + 5(86) < - 4s - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 10 +430 < - 4s - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: 420 + 5 < - 4s [/tex]

[tex]\qquad \sf  \dashrightarrow \: 42 5 < - 4s [/tex]

[tex]\qquad \sf  \dashrightarrow \: 42 5 \div 4 < - s [/tex]

[tex]\qquad \sf  \dashrightarrow \: 106.25 < - s [/tex]

Inequalities change when it is multiplied by -ve number

[tex]\qquad \sf  \dashrightarrow \: - 106.25 > s [/tex]

Answer:

See below

Step-by-step explanation:

x =  silk  yards

y =  cotton yards

y = 4.25 - x    sub this in to the second equation

 16.90 x  + 4 ( 4.25 - x ) = 36.35

    x =  1.50   yards of silk

    y = 4.25 - 1.50 = 2.75 yards of cotton

The Surface area of the figure is 520 square centimeters

The figure is made up of rectangular prisms

The formula for calculating the surface area of rectangular prism is expressed as:

SA = 2(lw + wh + lh)

Surface area of the figure = 2(2(8) + 2(14) + 8(14)) +  2(6(8) + 6(4) + 8(4))

Surface area of the figure = 2(16+28+112) + 2(48 + 24+32)

Surface area of the figure = 312 + 208

Surface area of the figure = 520 square centimeters

Hence the Surface area of the figure is 520 square centimeters

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b=-3

The equation, -11b + 7 = 40, can be solved using the properties of equality.

Solving For b

First, subtract 7 from both sides

Then, divide both sides by -11

Checking the Answer

We can check our answer by plugging the answer back into the original equation.

First, rewrite the equation with the answer

Next, multiply out the terms

Then, add together like terms

Because this is a true statement, the answer must be correct.

the volume of the pot.

bolume of a triangular prism= BH

area of a triangle= 1 / 2 × base × height

B = 1 / 2 × b × h

b = 3 units

h = 5 units

B = 1 / 2  × 3 × 5

B = 15 / 2

B = 7.5 units²

H = 26 units

 B = 7.5 units²

V = 7.5 × 26

V= 195 unit³

so, the volume of the pot is 195 unit³.

Answer:

tan theta = root3/3

see image

Step-by-step explanation:

The tangent is y/x in the unit circle. Use Keep-Change-Flip to simplify. See image. You also cannot leave a radical (square root) on the bottom of a fraction, so we need to "fix" that also. Multiply to rationalize (the "fix") see image.

[tex]\large{\mathcal{QUESTION:}}[/tex]

if p(x) = -2x²-3x+1, find p( -2)

[tex]\large{\mathcal{ANSWER:}}[/tex]

the answer is on the photo

Step-by-step explanation:

Each square has a side length of 1/4 inch but you have said each square=1/4

Once you have found the amount of 1/4 inches you multiply the two numbers together, only then do you multiply it to $11 for the square area.

Area:-

Cost:-

(7-2)² - 5/5

Do the math in the parentheses first.

7 - 2 = 5

Now the equation should read

(5)² - 5/5     or just       5² - 5/5

Do the exponent(s).

5² = 25

25 - 5/5

Do the division.

5/5 = 1

25 - 1 = 24

Therefore, according to our equation, the answer is 24.

I hope this answered your question.

Answer:

1. The cost of equity can be derived from the share price, which is the present value of the expected dividend one year from now(using the present value of growing perpetuity) as shown below:

share price=D1/(r-g)

share price=$500

D1=expected dividend one year from now=$4

r=cost of equity=unknown

g=constant growth rate=9%

$500=$4/(r-9%)

$500*(r-9%)=$4

r-9%=$4/$500

r=($4/$500)+9%

r=9.8

the Cost of Equity for the project is 9.8%

2. Compute the relevant cost of debt for this project is 5.53%

Market Value= 1,150

Face Value= 1,000

Term= 5 years, 10 semi-annual periods

Coupon Rate= 9%, 4.5% semi-annual rate

Tax Rate= 30%

N=10(semiannual coupons in 5 years)

PMT=45(semiannual coupon=face value*coupon rate/2=$1000*9%/2=$45)

PV=-1150(current market price)

FV=1000(face value of the bond is $1,000)

CPT(press compute)

I/Y=2.762766%(semiannual yield)

annual yield=2.762766%*2

annual yield=5.53%

3. The weighted average cost of capital is the sum of equity and the after-tax cost of debt multiplied by their respective market value weights

WACC=(cost of equity*weight of equity)+(after-tax cost of debt*weight of debt)

cost of equity=9.80%

the market value of equity raised=shares issued*market price of the share

the market value of equity raised=80,000*$500

the market value of equity raised=$40 million

weight of equity=market value of equity/total amount raised

weight of equity=$40 million/$100 million

weight of equity=40.00%

weight of debt=1-weight of equity

weight of debt=1-40.00%

weight of debt=60.00%

after-tax cost of debt=bond yield*(1-tax rate)

the after-tax cost of debt=5.53%*(1-30% )

the after-tax cost of debt=3.87%

WACC=(9.80%*40.00%)+(3.87%*60.00%)

WACC= 6.2426% or 6.24%

Therefore the WACC is 6.2426% or 6.24% rounded off to 2decimal place

4. Determine the initial cash flow for the project =$100 million

The initial cash outlay is the sum of the plant and machinery and net working capital investment required to commence the project

Plant and machinery= $80 million

Networking capital = $20 million

Total Initial Cash Flow= $100 million

5. Determine the earnings before taxes for years 1 through 5

Year

1 2 3 4 5

Revenue

120,000,000 120,000,000 120,000,000 120,000,000 120,000,000

Expenses

(80,000,000) (80,000,000) (80,000,000) (80,000,000) (80,000,000)

Depreciation (20,000,000) (15,000,000) (11,250,000) (8,437,500) (6,328,125)

EBT

20,000,000 25,000,000 28,750,000 31,562,500 33,671,875

Step-by-step explanation:

5. Depreciation schedule:

Year 1 = 80 × 25% = 20

Year 2 = (80-20) × 25% = 15

Year 3 = (80-20-15) × 25% = 11.25

Year 4 = (80-20-15-11.25) × 25% = 8.4375

Year 5 = (80-20-15-11.25-8.4375) × 25% = 6.328125

EBT = revenue - Expenses - depreciation

Year 1 = 120 - 80 - 20 = 20 Million

Year 2 = 120-80- 15 = 25 Million

Year 3 = 120-80- 11.25 = 28.75 Million

Year 4 = 120-80- 8.4375 = 31.5625 Million

Year 5 = 120-80- 6.328125 = 33.671875Million

The cost of equity of the project through the use of Gordan's formula will be 9.87%.

It should be noted that the price of stock is computed thus:

= Previous dividend + Growth / Cost of equity - Growth

Po = Do + g/Ke - g

500 = 4 + 9%/Ke - 9%

500 = 4 + (0.09 × 4) / Ke - 9%

500 = 4.36/Ke - 9%

500(Ke - 9%) = 4.36

500Ke = 4.36 + 45

500Ke = 49.36

Ke = 49.36/500

Ke = 9.87%

The cost of debt will be:

= Interest rate (1 - Tax rate)

= 9% × (1 - 30%)

= 9% × 0.7

= 6.30%

The amount of the cost of debt will be:

= $1000 × 6.30%

= $63.00

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Answer:

Symbol. ^ or (English symbol name wedge) (mathematics, logic) The conjunction operator, forming a Boolean-valued function, typically with two arguments, returning true only if all of its arguments are true. (mathematics) wedge product

Answer;

It is the symbol used in computer language to denote the square or cube or other power of any number . for example; 2^2, it means the square of 2.

Answer:

This is an exponential function equation.

Therefore,

The 2 represents: Original amount (Y-intercept)

The 3 represents: Growth factor or (1+r)