Alan, Betty, and Carol invested in a corporation in the ratio of 3​:4​:5 respectively. If they divide the profit of ​$26,100 proportionally to their​ investment, how much will each​ receive?

Answer:

X=48

Step-by-step explanation:

100 = 2x+4

100-4 = 2x

96 = 2x

96/2 = x

x = 48

Answer:

x = 110

y = 102

z = 82

Step-by-step explanation:

Angles that create a line are equal to 180

x + 70 = 180

x = 110

y + 78 = 180

y = 102

A quadrilateral's angles add up to 360

110 + 78 + 90 + z = 360

278 + z = 360

z = 82

The distance from building A to building C is 433m

Therefore,

sin 60° = opposite / hypotenuse

sin 60° = b / 500

cross multiply

b = 500 sin 60°

b = 500 × 0.86602540378

b = 433.0127

b = 433 meters

learn more on right angle triangle here: https://brainly.com/question/20795478

Answer:

-1 I apologize if I'm wrong

Answer:

-5 steps away

explanation:

Add the x and y axis and then count how many it resulted in.

I'm not sure where the gift shop was, but since that wasn't included I had to assume it was at (0, 0). Let me know so I can change this if I need to. Thank you.

Step-by-step explanation:

we want to find the hypotenuse

soh cah toa

he have hypotenuse and opposite

soh

sin 20 = H/4

can u do the rest and put answer in comments please mark brainest

Answer:

7.75 is the the correct answer

Answer: 25%

Step-by-step explanation:

As you can see 8/32 simplified would be 1/4 which would be 1/4 and 1/4 is equal to 25%!

Answer:

4 1/4 in.

Step-by-step explanation:

Highest record: 24 ft. 6 3/4 in.

John's best long jump: 24 ft. 2 1/2 in.

convert 1/2 to have denominator of 4...

1/2 x 2/2=2/4

subtract from highest record...

3/4-2/4=1/4

add to whole numbers...

6-2=4

4+1/4= 4 1/4

Answer:

# of reserved seats = R;  # of general admission seats = G

                                                    G - R = 85

                                         $18R + $9G =$3600

Multiply 1st equation by 18:  18G - 18R = 1530

Rearrange 2nd equation:   $9G + $18R =$3600

Combine the equations:               27 G  =   5130

                                                       G  =  190

                                                       R  =  105

Step-by-step explanation:

Answer:

c. The solution to a system of equations is the point or points where they intersect

Answer:

  B. X=0.02

Step-by-step explanation:

The solution to the natural log equation is found by taking antilogs.

  ln(x) = -4 . . . . . . . given equation

  x = e^-4 . . . . . . . take antilogs

  x ≈ 0.0183156

  x ≈ 0.02 . . . . rounded to 2 decimal places

_____

Additional comment

Essentially, we use each side of the equation as a power of e.

  e^ln(x) = e^(-4)

  x = e^-4 . . . . . . . simplified

Choices C and D can be eliminated by the fact that ln(x) for x < 0 is undefined. x cannot be negative.

Answer:

(x - 2)² + (y - 2)² = 4

Step-by-step explanation:

The circle is tangent to both axes, so the radius = x = y

Center is on 2x + 3y = 0, so 2x + 3x = 1-

x = 2 = y

center: (2, 2)

radius = 2

equation: (x - 2)² + (y - 2)² = 2²

(x - 2)² + (y - 2)² = 4

[tex]\frac{1}{2}[/tex] of the water takes [tex]\frac{1}{2}[/tex] of the fuel and empty tank takes [tex]\frac{1}{6}[/tex] of the fuel, the

fraction that would will be spent if there was no leak is [tex]\underline{\dfrac{11}{18}}[/tex] of the fuel

The given parameters are;

The volume of oil consumed = [tex]\mathbf{\dfrac{1}{2}}[/tex] of the fuel tank

Volume consumed if the water tank was empty = [tex]\dfrac{1}{6}[/tex] of the fuel tank

Let w represent the weight of the water that fills the tank.

Therefore;

[tex]The \ average \ weight \ carried \ by \ oil = \dfrac{w + \dfrac{w}{2} }{2} = \mathbf{\dfrac{3 \cdot w}{4}}[/tex]

The amount of fuel consumed by the water that leaked = [tex]\dfrac{1}{2} - \dfrac{1}{6} = \dfrac{1}{3}[/tex]

Let x represent the amount of oil used to carry only the water if there

was no leak, therefore;

[tex]\mathbf{\dfrac{\frac{3 \cdot w}{4} }{w} }= \dfrac{\frac{1}{3} }{x}[/tex]

Which gives;

[tex]\mathbf{\dfrac{3 \cdot w}{4} \times x}} = \dfrac{1}{3} \times w }[/tex]

[tex]x = \dfrac{4}{3 \times 3} = \dfrac{4}{9}[/tex]

The total amount of fuel that will be consumed without leakage is

therefore;

[tex]Total \ amount \ of \ fuel = \dfrac{4}{9} + \dfrac{1}{6} = \mathbf{ \dfrac{11}{18}}[/tex]

The amount of oil consumed if there was no leakage is therefore;

Learn more about averages here;

https://brainly.com/question/24398353

A) If the current market interest rate is 6.5%, you should not buy the bond because the present value of the bond is $905.97, which is less than the current price of $940.

B) Assuming you buy and hold this bond for 5 years, the price you must sell the bond to earn a 7% rate of return on this investment is $938.50.

The price of a bond can be determined by calculating the present value of the cash flows till maturity through discounting.

The present value can be computed using the present value formula or table.  It can also be determined using an online finance calculator as follows:

a. If the current market interest rate is 6.5%. Should you buy the bond? Why or why not?

N (# of periods) = 15 years

I/Y (Interest per year) = 6.5%

Coupon interest rate = 5.5%

PMT (Periodic Payment) = $55

FV (Future Value) = $1,000

Results:

PV = $905.97

Sum of all periodic payments = $825 ($55 x 15)

Total Interest = $919.03

b. Assuming you buy and hold this bond for 5 years. What price must you sell the bond for if you want to earn a 7% rate of return on this investment?

N (# of periods) = 5 years

I/Y (Desired Interest per year) = 7%

Coupon interest rate = 5.5%

PMT (Periodic Payment) = $55

FV (Future Value) = $1,000

Results:

PV = $938.50

Sum of all periodic payments = $275 ($55 x 5)

Total Interest = $336.50

Learn more about calculating the present values at https://brainly.com/question/20813161

Answer:

a cube that is 1 yard long, 1 yard wide, and 1 yard high

Step-by-step explanation:

The dimensions for a unit cube are:

[tex]1\times1\times1[/tex]

Please note that the units for each side MUST be the same (or if they're different, then the lengths have to be equivalent).

Looking at the answer choices, we can see that the last answer choice is a 1 yd by 1 yd by 1 yd cube, therefore it is a unit cube.

Answer:

I guess 4, because it has only 1 unit in it, and not 9 inches^3.

Step-by-step explanation:

Hope this helps.

Answer:

x = 2•sqroot(5)

x ~= 4.47

Step-by-step explanation:

Draw a line to make the "top" part be a

4 × 3 rectangle. see image.

Then you will have a right triangle on the bottom. It has legs 2 and 4 units long. Use the Pythagorean theorem to solve for x. see image.

Answer:

4.5

Step-by-step explanation:

Answer:

this expression is true for all values of a.

Step-by-step explanation:

So if the expression is:

a - 5 = 5 - a

For this reason:

2a = 10

a = 5

a - 5 = -5 + a

0 = 0

Answer:

49 ft.

Step-by-step explanation:

Since the figure is a rectangle, the length of the top of the figure is the same as that of the bottom. Thus, we can form an equation which we can later use to find the value of x.

4x +3= 16

Minus 3 on both sides:

4x= 16 -3

4x= 13

Divide by 4 on both sides:

x= 13 ÷4

x= 3.25

Breadth of rectangle

= 2x +2

= 2(3.25) +2

= 6.5 +2

= 8.5

Perimeter of rectangle

= 2(length +breadth)

= 2(16 +8.5)

= 2(24.5)

= 49 ft.

Answer:

a. -1

Subtracting 6-7 would give you -1. Negative 1 is 7 units from the number 6.

b. -5 and 15

Adding and subtracting 10 from 5 would give you -5 and 15.

c. -3

Starting at -7, and going to the right 4 means that Darcy moved +4. -7+4 would give you negative 3.

Answer:

[A] - 1

[B] - 5

[C] -3

Step-by-step explanation:

[A] The number 6 is 7 units away from 13 on a number line. Which other integer is 7 units away from 6 on a number line?

Solve:

6+7=13

6-7=-1

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[B] which integers are 10 units away from 5 on a number line?

Solve:

5-10=-5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[C] Starting at -7 on a number line,Darcy moved 4 units to the right. What integer did Darcy land on?

Solve:

-7+4=-3

Negative + Positive =[ Negative]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~lenvy~

Answer:

21,400

Solving steps:

Since, Marie has $60,000 in a savings account that earns 7% interest per year.

Find: How much will she have in 4 months.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: solution[/tex]

Step 1: Find the money for the 7% rate

=> [tex] 60000 \times \frac{7}{100} [/tex]

=> [tex] \frac{60000}{1} \times \frac{7}{100} [/tex]

cancel the two zeros of 60,000 and 100

=> 600 × 7

=> 4,200

Add 4,200 to 60,000

=> 64,200

per year = 64,200

Now, divide 64,200 by 12

since 12 months to make one year

=> 64,200 ÷ 12

=> 5,350

now multiply it by 4 months she gets 5350 per month

=> 21,400

Answer:

Percentage of Money Zack receives =

[tex]\bold{\frac{the \:share \:he\: gets \:in\: ratio \:form}{Total \:share \:in\: ratio \:form} \times 100}\\[/tex]

[tex] \bold{\frac{9}{11 + 9} \times 100} \\ \\\bold{ ⇢ \frac{9}{\cancel{20}} \times\cancel{ 100} }\\ \\ \bold\blue{ ⇢ 45\%}[/tex]

hope helpful~

Answer:

the answer is A

Step-by-step explanation: it is A because 45 percent of $166 is $47.7 and if you subtract it from 166 it turns out to be $118.3

Answer:

Good morning! Number of trials are 250.

Step-by-step explanation:

A researcher finds 50% of all commuters in a metropolitan area take the train to work.

The researcher polls 250 people in the area to ask them whether they take the train to work or not.

We have tell the number of trials for this binomial experiment.

Researcher will do 250 trials to confirm whether they take the train work and this irrespective of their response.

_AnnieTheDreamGirl, 3/8/2022

Answer: 285.7L

Step-by-step explanation:

Tank initially had 500L of water.

On Monday a third leaked out, therefore:

Amount of water that leaked = 500L x 1/3 = 166.6667 = 166.7L

Remaining water after Monday leak = 500-166.7 = 333.3333 = 333.3L

On Tuesday a seventh of the remaining water (333.3L) leaked out, therefore:

Amount of water that leaked: (333.3333) x 1/7 = 47.6190 =47.6L

Water left after both leaks =500L - (166.6667 + 47.6190)L = 500L - 214.2857L = 285.7143L = 285.7L.

OR Water left = 333.3333L - 47.6190L = 285.7143L = 285.7L

The significance level shows that z approximately equals 1.41 for a p-value of 0.078642.

Based on the complete question, the sample proportion for city A will be:

= 54/90 = 0.60

The sample proportion for city B will be:

= 63/90 = 0.70

Using the table given, it can be deduced that the test statistic value will be 1.41. Therefore, the p-value will be 0.078652 in the Excel function.

Since the p-value is greater than 0.05, then we fail to reject the null hypothesis that there is no difference in the commute time.

Learn more about significance level on:

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Answer:

aₙ = a₁ * 2ⁿ⁺¹

Step-by-step explanation:

a₁ = 6

a₂ = 12

a₃ = 24

Note a₂/a₁ = 2 = a₃/a₂

So it is a geometric sequence with common ratio of 2

a₂ = a₁ * 2 = a₁ * 2¹ = a₁ * 2²⁺¹

a₃ = a₂ * 2 = a₁ * 2 * 2 = a₁ * 2² = a₁ * 2³⁺¹

Then

aₙ = a₁ * 2ⁿ⁺¹

Answer:

Mary climbed higher

Step-by-step explanation:

think of it like this a wall is four feet and you climb 3 feet up. You are closer to the top than if you climbed 3 feet up a 8 wall.

Answer:

You started with 32.00

Step-by-step explanation:

47 minus 15 is 32

Step-by-step explanation:

it's a right triangle

Pythagorean theorem

the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

x² = 9² - 2²

x² = 81 - 4

x² = 77

x = √77

or

x = 8.77

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