Describe the transformation from the graph (Desmos!)

The cash flow stream consisting of $14,000 today followed by $6,000 each year for the next 11 years, discounted at a rate of 7.1%, is worth approximately $52,743 to you today.

To determine the present value of the cash flow stream, we need to discount each cash flow back to the present using the appropriate discount rate.

The present value (PV) of each cashflow can be calculated using the formula:

[tex]PV = CF / (1 + r)^n[/tex]

where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of periods.

Calculating the present value of each cash flow and summing them up, we get:

[tex]PV = \$14,000 + \$6,000 / (1 + 7.1\% / 100)^1 + \$6,000 / (1 + 7.1\% / 100)^2 + ... + \$6,000 / (1 + 7.1\% / 100)^11[/tex]

Evaluating the expression, we find that the present value of the cash flow stream is approximately $52,743 when rounded to the nearest dollar.

This means that if you discount the future cash flows at a rate of 7.1%, the combined value of all the cashflows today would be approximately $52,743.

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The consultant can assert with 95% confidence that the true average time to complete a standard order is within 4.23 seconds of the sample average time of 72.2 seconds.

With 95% confidence, the true average time it takes for a counter person to complete the standard order is between 68.0 and 76.4 seconds.

The standard error of the mean is given by the formula:

SE = s / sqrt(n)

where s is the sample standard deviation and n is the sample size.

In this case, the standard error is:

SE = 12.8 / sqrt(35) = 2.16 seconds (approximately)

The Z-value that corresponds to a 95% confidence level is approximately 1.96 (this value can be looked up in a standard Z-table).

Therefore, the maximum error E can be calculated as:

E = Z * SE = 1.96 * 2.16 = 4.23 seconds (approximately)

This means that the consultant can assert with 95% confidence that the true average time to complete a standard order is within 4.23 seconds of the sample average time of 72.2 seconds.

b) To construct a 95% confidence interval for the true average time, the consultant can use the formula:

CI = x ± E

where x is the sample mean and E is the maximum error.

Substituting the given values:

CI = 72.2 ± 4.23 = (68.0, 76.4)

So, with 95% confidence, the true average time it takes for a counter person to complete the standard order is between 68.0 and 76.4 seconds.

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Answer:

x = 29

Step-by-step explanation:

We know that those two angles equal 180° so we combine those two equations and set them equal to 180°:

6x + 6 = 180°

Subtract 6 from both sides:

6x = 174°

Divide by 6:

x = 29

Answer:

360

Step-by-step explanation:

All the angles of a polygon add up to 360, thats kinda just how it is haha

The p-value of this test is 0.0294.

a) The absolute value of the critical value of this test is "1.645".

The critical value for the given test can be calculated using the following formula;`

Critical value =

± z_(α/2)`

Where,`α` is the level of significance of the test.

`z_(α/2)`

is the critical value from the standard normal distribution table.

Since, the significance level of the test is 20%,

α = 0.2 or 0.20

Level of Significance = 0.20α/2 = 0.20/2α/2 = 0.10

Now, the critical value of the test can be found from the standard normal distribution table at 0.10 level of significance.

It comes out to be 1.645.

So, the absolute value of the critical value of this test is 1.645.

b) The absolute value of the calculated test statistic is "2.23".

The test statistic for the given test is the t-value calculated using the sample data.

It can be calculated using the following formula;

`t = (x¯1 - x¯2) / [ s_p * √(1/n1 + 1/n2) ]`

Where,`x¯1 and x¯2` are the sample means.

`s_p` is the pooled standard deviation.

`n1 and n2` are the sample sizes.

So, the test statistic of the given test comes out to be 2.23.So, the absolute value of the calculated test statistic is 2.23.

c) The p-value of this test is "0.0294".

The p-value for the given test is the probability of getting a t-value more extreme than the calculated t-value, assuming the null hypothesis is true.

The p-value can be calculated using the t-distribution table.

The degrees of freedom for the given test is

`df = n1 + n2 - 2`.

Substituting the values in the formula, the p-value for the given test comes out to be 0.0294.

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Answer:

2/3

Step-by-step explanation:

rise over run

up and over

Answer:

area = (10 x 19) - (0.5 x 19 x 5) = 142.5 in²

Step-by-step explanation:

Answer:

142.5 in^2

Step-by-step explanation:

Area of trapezoid= a + b  / 2 · h         (a and b are bases of the trapezoid)

A= 5 + 10 / 2 · 19

A= 15 / 2 · 19

A= 7.5 · 19

A= 142.5 in^2

This is just one way to do it. There are many more ways.

Answer:

-3/2

Step-by-step explanation:

The rate of change is the same as slope

Answer:

C. Add all sides of the base shape

Step-by-step explanation:

perimeter = sum of length of sides of a polygon

Answer: C. Add all sides of the base shape

Answer:

4/15

Step-by-step explanation:

Each fraction is 1/15 less than the previous.

If we make them all the same denominator,

then it would show as:

8/15

7/15

6/15

5/15

The next fraction would be 5/15 - 1/15

which is

4/15

Answer:

4                                                    1

__    because it goes down by ___

15                                                  15

Step-by-step explanation:

Answer,  z10

Step-by-step explanation:

Answer:

Сен қазақ сыңба?

Step-by-step explanation:

қазашшаайтшыааа

Answer:

-3 + 8 = 5

Step-by-step explanation:

When we have a "minus a negative", it's a positive. So the - -8 is the same as + 8.

LMK if you have questions.

-3 + -8 = -11

is that a nice one or something

Step-by-step explanation:

to find the area of a circle, it is pi times radius squared. so 1 times pi squared is pi^2 the area is 4 plus 2pi^2

Answer:

8

Step-by-step explanation:

10 - 2

To find the expected amount you would pay for your two raffle tickets, we need to calculate the expected value of the sum of the prices on the tickets.

Let's denote the prices on the tickets as follows:

Ticket 1: $1

Ticket 2: $2

Ticket 3: $3

Ticket 4: $4

Since you are drawing two tickets without replacement, there are a total of 4C2 = 6 possible combinations of two tickets.

The expected value (E) can be calculated by summing up the products of each combination and its corresponding probability. The probability of each combination is 1/6 since all combinations are equally likely.

The expected amount you would pay for your two raffle tickets is given by:

[tex]\[E = \frac{1}{6}(\$1 + \$2) + \frac{1}{6}(\$1 + \$3) + \frac{1}{6}(\$1 + \$4) + \frac{1}{6}(\$2 + \$3) + \frac{1}{6}(\$2 + \$4) + \frac{1}{6}(\$3 + \$4)\][/tex]

Simplifying the expression, we find:

[tex]\[E = \frac{\$3 + \$4 + \$5 + \$5 + \$6 + \$7}{6} = \$5\][/tex]

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Answer:

-5 + 4n

Step-by-step explanation:

-1/2(10 - 8n)

-5 + 4n

Answer:

what

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

All of the opposite sides are parallel  to each other.  

Answer:

NO

Step-by-step explanation:

If the diameter of the circle is doubled the area will be increased 4 times

Answer:

54.25

Step-by-step explanation:

Answer:

y=k×x

so k =-1/2

ie: -1=-1/2(2)

-1=-1

hope this helps hshshsjjss

The percentage of tires will have a life of 34,000 to 46,000 miles is the correct answer is d. None of the alternative answers is correct.

The provided percentages do not offer a precise estimate of the proportion of tires with a life of 34,000 to 46,000 miles.

Determining the percentage of tires falling within a specific mileage range requires access to accurate statistical data from tire manufacturers or comprehensive studies. Several factors affect tire lifespan, such as driving habits, road conditions, maintenance, and the type of tire itself.

These variables make it difficult to provide an exact percentage without specific information about the tire population in question. To obtain a more accurate estimate, it would be necessary to analyze relevant data, such as tire industry reports or studies on tire longevity.

Tire manufacturers often provide estimated mileage ratings for their products, but these figures are averages and can vary depending on the factors mentioned above.

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Answer:

18 hours

Step-by-step explanation:

9/0.50 = 18 hours

$30500                                                                                                                       ..............................................................................................................................

Answer:

b

Step-by-step explanation:

its a negative slope, so you can eliminate c and d. even though the scale is 2, the slope always pertains to $1 increase and not $2 increase.