8+8?
Pls help will mark you or whatever

The quarterly payment that the ski resort owner must make in 5 years to have the cost of the ski lift is $277,076.57.

The quarterly payment can be computed by determining the ski lift's total cost (future value).

Dividing the future cost or value by the number of periods (quarters) results in quarterly payments.

N (# of periods) = 20 quarters (5 x 4)

I/Y (Interest per year) = 4%

PV (Present Value) = $5,000,000

FV (Future Value) = $0

Results:

PMT = $277,076.57

Sum of all periodic payments = $5,541,531.49

Total Interest = $541,531.49

Thus, the quarterly payment that the ski resort owner must make in 5 years to have the cost of the ski lift is $277,076.57.

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The value of x in the triangle is determined as 45.

The value of x in the triangle is calculated by applying the following formula,.

The measure of angle ABD = 0.2x + 52

The measure of angle CBD = 0.2x + 42

From the diagram, we can set-up the following equations;

x + 16 = 0.2x + 52

Simplify the equation above, by collecting similar terms;

x - 0.2x = 52 - 16

0.8x = 36

Divide both sides of the equation by " 0.8 "

0.8x / 0.8 = 36/0.8

x = 45

Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.

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Answer:

A = 228 tickets

Step-by-step explanation:

We need to set up a system of equation to find the number of adult tickets sold, where A represents the adult tickets and S represents the student tickets.

Because the number of adult and student tickets together equals 506, we have A + S = 506.

Because there are 56 more student tickets than adult tickets we have A + 56 = S

And the way the system is already set up allows us to use substitution.

Thus, we have:

\(A + S=506\\A+56 = S\\\\A+A+56 =506\\2A+56=506\\2A=456\\\\A=228\\228+56=S\\278=S\)

The number of student tickets was not necessary to find in this problem, but I found anyway just in case you wanted check the work or wanted to prove the validity of the values.

Answer: 66%

Step-by-step explanation: To convert a fraction to a percentage, divide the top number by the bottom number. For example, \(\frac{1}{4}\) is 25% because if divide them, (1÷4=0.25) then we get 25%. So, for this problem, we solve 2÷3, which equals 0.66, or 66%.

hope this helps!

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Complete Question:

The perimeter of triangle DEF is 3x + 3y. Find the measure of the missing side. (One side is x-y, the other is x+y)

Answer:

\(Side\ 3 = 2x+ 3y\)

Step-by-step explanation:

Given

\(P = 4x + 3y\) --- Perimeter

\(Side\ 1 = x - y\)

\(Side\ 2 = x + y\)

Required

Determine Side 3

The perimeter of a triangle is calculated as:

\(Permeter = Side\ 1 + Side\ 2 + Side\ 3\)

\(4x + 3y = x - y + x + y + Side\ 3\)

Collect Like Terms

\(4x - x - x+ 3y-y + y = Side\ 3\)

\(2x+ 3y = Side\ 3\)

\(Side\ 3 = 2x+ 3y\)

Answer:

When an organisation is unable to honour its financial obligations or make payment to its creditors, it files for bankruptcy. A petition is filed in the court for the same where all the outstanding debts of the company are measured and paid out if not in full from the company's assets.

Bankruptcy in my own words is the inability to payoff debt by the debtor.

Bankruptcy occur when a borrower does no longer have the money to payoff or clear their debt.

In some cases where the borrower or debtor is unable to pay the debt the borrower assets can be used to payoff the amount the debtor is owing after evaluating the worth of the borrower assets.

Inconclusion bankruptcy in my own words is the inability to payoff debt by the debtor.

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The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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Answer:

77 hours

Step-by-step explanation:

5x7= 35

3x7=21

1x7=7

1x7=7

1x7=7

35+21+7+7+7=77

Answer:

77

Step-by-step explanation:

Answer: b=14

Step-by-step explanation:

we can use three steps

isolate the variable, use inverse operation and do everything on both sides of the equation to keep the equation in balance

if we had 5 back on both sides of the equation:

b-5=9

b= 14

B-5=9

b=9+5

b=14

To get variable b by itself , you add 5 to both sides of the equation.

Answer:

X = 2/3

Step-by-step explanation:

there is some misinformation here but I’m just gonna assume these rectangles are proportional.

If the longer side for the first one is 3 and the longest side for the second is 2 meaning that the second side is multiplied by 2/3

So if we multiply 1 by 2/3, it will be 2/3 meaning x = 2/3

hope this helps :)

Answer:

C

Step-by-step explanation:

x²-14x-49=0

x²-14x+49=49+49

(x-7)²=98

(x-7)²=49×2

x-7=±7√2

x=7+7√2=7(1+√2)≈7(1+1.414)≈7(2.414)≈16.898≈16.9

or

x=7-7√2=7(1-√2)≈7(1-1.414)≈-7×0.414≈-2.898≈2.9

Answer:

Step-by-step explanation:

Using V as a substitute for √ is misleading. Better to write “square root of x”.

AC = BD = √170

Answer:

-164 ft/second.

Step-by-step explanation:

The instantaneous velocity is given by the derivative;

f(t) = -16t^2 + 220t

V = f'(t) = -32t + 220

So at 12 seconds:

V = -32*12 + 220

= -164 ft/second ( It is negative because it is descending).

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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There are 15 candy and 55 soda she sell.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Kayla sells candy bars and cans of soda. She charges $3 for candy bars and $1 for soda. Yesterday she sold 70 items altogether and earned $100.

Now, Let number of candy = x

And, Number of soda = y

Here, Yesterday she sold 70 items.

Hence, We get;

⇒ x + y = 70  .. (i)

And, She charges $3 for candy bars and $1 for soda and earned $100.

Hence, We get;

⇒ 3x + y = 100

⇒ y = 100 - 3x .. (ii)

Substitute the value of y from (ii) in (i);

⇒ x + y = 70  

⇒ x + (100 - 3x) = 70  

⇒ x + 100 - 3x = 70  

⇒ - 2x + 100 = 70  

⇒ 100 - 70 = 2x

⇒ 2x = 30

⇒ x = 15

And, from (i);

⇒ x + y = 70  

⇒ 15 + y = 70

⇒ y = 70 - 15

⇒ y = 55

Thus, There are 15 candy and 55 soda she sell.

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The maximum value of the original data set is 109.

To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.

Looking at the stemplot:

O 10 | 0 0 8 9 8 9 0 0 0

0 20 | 5 4 7 9 6

0 30 | 1 4 6 7 7 9 7

0 40 | 0 0 2 5 5 7 7 9 9 8

0 50 | 1 2 2 2 3 4 5 5 7 8 9 9

0 60 | 0 0 0 3 3 3 3 6 8

The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".

Therefore, the maximum value of the original data set is 109.

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Answer:

  PQ ≈ 20.5

Step-by-step explanation:

The product of lengths from R to the intersection points with the circle is the same for each secant:

  RS×RT = RQ×RP

  40(40 +31) = (44)(PQ +44)

  40(71)/44 = PQ +44

  PQ = 2840/44 -44 = 64 6/11 -44 = 20 6/11

  PQ ≈ 20.5

Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

Probability is a measure of the likelihood or chance that a particular event or outcome will occur. It is expressed as a value between 0 and 1, where 0 represents an event that is impossible to occur, and 1 represents an event that is certain to occur.

To solve this problem, we can use the formula for the standard deviation of the sample mean:

Standard deviation of sample mean = standard deviation / √(sample size)

Plugging in the given values:

Standard deviation of sample mean = 7 / √(31)

Next, we can calculate the z-score, which is the number of standard deviations the sample mean is below the population mean:

z-score = (sample mean - population mean) / standard deviation of sample mean

Plugging in the given values:

z-score = (141.5 - 145) / (7 / √(31))

Using a calculator, we find that the z-score is approximately -2.22.

Finally, we can use a standard normal distribution table or a calculator to find the probability that a z-score is less than -2.22.

Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

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You had to earn $0.96 more an hour last year in order to have a total income of $63,250.

Given:

In Last year,

Total income = $62,000

Profit made by selling house =$26,520

Monthly income by investment = $75

Yearly income by investment = \(12 \times 75\)  ( 1 year = $75)

= $900

Computation:

Also, you 25 hours per week and 52 weeks per year as an hourly employee.

Let x be your hourly wages.

Then, yearly income by working = \(25 \times 52 \times x\)

= 1300x

As per given,

\(1300x+900+26520=62000\\\\ 1300x=34580\\\\ x=26.6\)

In order to earn total income $63,250, we have

\(1300x+900+26520=63250\\\\ 1300x=35830\\\\ x\approx27.56\)

Difference = 27.56-26.6 = $ 0.96

Hence, You had to earn $0.96 more an hour last year in order to have a total income of $63,250.

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The equation of the line passes through the origin and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

A line passes through the origin (0, 0) and(5,3),

The equation of the line will be,

y - 0 = 3-0 / 5-0 (x -0)

y = 3 / 5x

Put y = 1 then x = 5 / 3

Put y = 2 then x = 2 × 5 / 3 = 10 / 3

Therefore, the equation of line passes through the origin, and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).

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Amount = P ( 1 + R ) ^n

= 37,500 ( 1 + 4.3% ) ^6

= 37, 500 ( 1. 043 ) ^6

= $ 48, 276. 65

The statement or theory put forward by the writer is both clear and direct with supporting text, which signifies an explicit thesis. Hence, option B is correct .

Therefore, the thesis stated is explicit as directly establishes the topic and supports it with assertions.

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Answer:

1.T

3.T

4.F

5.T

Step-by-step explanation

hope this helps

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Answer:

144 inches

Step-by-step explanation:

If they are moving at the same speed and start at the same time, they have to go the same distance

That means they will meet in the middle

If they are 72 inches from the right side that means the middle is 72 inches from the right side

The road is 2 times 72 inches

2*72 = 144

144 inches

The probability of occurrence for the events A, B and C is; 1/4.

For the first event A in which case, there's no odd number on the first two rolls, the possible events are; EEE and EEO. Consequently, the required probability is;

Event A = 2/8 = 1/4.

For the event B in which case, there's an even number on both the first and last rolls; the possible events are; EEE and EOE. Consequently, the required probability is;

Event B = 2/8 = 1/4.

For the event C in which case, there's an odd number on each of the first two rolls; the possible events are; OOO and OOE. Consequently, the required probability is;

Event C = 2/8 = 1/4.

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First of all, let the number be u.

The product of 7 and u means you should multiply 7 times u:

\(\pmb{7u}\)

Now, subtract 4:

\(\pmb{7u-4}\)

This expression equals 17:

\(\pmb{7u-4=17}\)

\(\rule{200}{2}\)

[Now, let's Find the Value of u]

First, add 4 to both sides:

\(\pmb{7u=21}\)

Now, divide both sides by 7:

\(\pmb{u=3}\)

=======================================================

Hope everything is clear; if you need any clarification /explanation, kindly let me know, and I will comment and/or edit my answer :)