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Nataly_w [17]
3 years ago
12

A. crystal lund has been your trusted employee for 25 years. she performs all​ cash-handling and accounting duties. crystal just

purchased a new lexus and a new home in an expensive suburb. as owner of the​ company, you wonder how she can afford these luxuries because you pay her only​ $42,000 a year and she has no sources of outside income
Mathematics
1 answer:
goblinko [34]3 years ago
5 0
<span>If Ms. Lund lives in an area where the cost of living is low, $42,000 a year over a twenty-five year period could allow her to live frugally, save, invest, and now in her forties be able to cash in some of her investments to buy the house and car of her dreams. At the same time, it would be the course of prudence to bring in an outside auditor.</span>
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if a runner finishes the 26.2. mille race in 4 hours and 37 mins and Wilson kipping finish in 4 minutes and 43 seconds per mile
Neporo4naja [7]

Answer

a) Wilson Kipsang is 7.046 miles per hour faster than the average runner.

Solution is presented below under Explanation.

b) Wilson Kipsang is 2.24 times faster than the average runner.

c) When the average runner is at mile 6, Kipsang will be at mile 13.45.

d) Kipsang's record time = 2 hours, 3 minutes, 34.6 seconds

Explanation

To solve this, we will calculate the speed of the average runner and then the speed of Wilson Kipsang

Speed = (Distance/Time)

For the average runner

Distance = 26.2 miles

Time = 4 hours 37 mins = 4 hours + (37/60) = 4.617 hours

Speed = (Distance/Time)

Speed = (26.2/4.617)

Speed = 5.675 miles per hour

For Wilson Kipsang

Distance = 1 mile

Time = 4 minutes 43 seconds = (4/60) + (43/3600) = 0.0667 + 0.01194 = 0.0786 hour

Speed = (Distance/Time)

Speed = (1/0.0786) = 12.721 miles per hour

So, now, we are asked to find how much faster than the average runner is Wilson Kipsang

Wilson Kipsang's speed = 12.721 miles per hour

Average runner's speed = 5.675 miles per hour

Wilson Kipsang is faster than the average runner by

(12.721 - 5.676) = 7.046 miles per hour

b) We are asked to find how many times faster than the average runner Wilson Kipsang is.

Let the number of times he is faster than the average runner be x

Wilson Kipsang's speed = 12.721 miles per hour

Average runner's speed = 5.675 miles per hour

(5.675) (x) = (12.721)

Divide both sides by 5.675

x = (12.721/5.675)

x = 2.24 times

c) If the average runner is at mile 6, where would Kipsang be?

To do this, we will find the time it takes the average runner to be at mile 6, then use that time to find where Kipsang would be.

Speed = (Distance/Time)

By cross multiplying, we see that

Time = (Distance/Speed)

For the average runner

Distance = 6 miles

Speed = 5.675 miles per hour

Time = (Distance/Speed)

Time = (6/5.675) = 1.057 hours

For Wilson Kipsang,

Speed = (Distance/Time)

By cross multiplying

Distance = (Speed) (Time)

Speed = 12.721 miles per hour

Time = 1.057 hours

Distance = (Speed) (Time)

Distance = (12.721) (1.057)

Distance = 13.45 miles

d) We were told that for Kipsang

1 mile = 4 minutes 43 seconds

26.2 miles = 26.2 (4 minutes 43 seconds)

26.2 miles = 26.2 (283 seconds) = 7414.6 seconds

We can then convert this further

7414.6 seconds = 2 hours, 3 minutes, 34.6 seconds

Hope this Helps!!!

4 0
1 year ago
What is f(5)? I need help someone plz :)
Musya8 [376]
I believe f(5) is the number f equals hope that helped
4 0
3 years ago
Which phrases can be used to represent the inequality 12 minus 3 x greater-than-or-equal-to 9? Select two options.
AlexFokin [52]

Answer:

Twelve less three times a number is at least nine.

Twelve minus the product of three and a number is no smaller than nine.

Step-by-step explanation:

complete question is:

Twelve less than three times a number is greater than or equal to nine.

Twelve less than three times a number is at least nine.

Twelve less three times a number is at least nine.

Twelve minus the product of three and a number is no more than nine.

Twelve minus the product of three and a number is no smaller than nine.

ANSWER:

<u>Twelve less three times a number is at least nine.</u>

The phrase "twelve less three..." means that the "three times a number" is being subtracted from twelve. So, it has to be at least nine.

<u>Twelve minus the product of three and a number is no smaller than nine.</u>

Even the least number you suppose is 1 we'll get 9

e.g: 12-3(1)=9. Therefore, this statement also represent the inequality

3 0
3 years ago
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N plus one half equals sevens four
White raven [17]
N: n \\ plus = + (addition/add) \\ OneHalf: \frac{1}{2} \\ equals: =  \\ SevenFourths: 7.4 \\ \\ \\ Problem/Answer: n +  \frac{1}{2} = 7.4

good \\ luck \\ on \\ assignment \\ \\ \\ \\ enjoy \\ your \\ day! \\ \\ \\ \\ \\ \\ MeIsKaitlyn
8 0
3 years ago
can someone give me the answer please
Flauer [41]

Answer:

Point P.

Step-by-step explanation:

It is at the point -7 on x-axis and 4 on y-axis.

7 0
3 years ago
Read 2 more answers
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