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Alenkinab [10]
3 years ago
9

Mike has a net spendable income of $1,400. He decides to set up a budget before looking for an apartment or a car. He sets up hi

s budget and finds that he has lots of money left over. He puts the extra money into entertainment.
Housing $420
Food $168
Transportation $210
Insurances $42
Debts $70
Entertainment $224
Clothing $70
Savings $70
Medical $56
Miscellaneous $70
Why might this budget be a problem?

Answers : 

A) Mike will spend more money than he is earning.
B) Mike does not have enough money budgeted for food or medical expenses.
C) Mike is using the minimum recommended percentages for food, housing, and transportation. The costs are likely to exceed the expenses in each category.
D) Mike has not budgeted all of his money. He will find that he has extra money at the end of the month, which will end up being wasted.
Mathematics
1 answer:
balu736 [363]3 years ago
3 0
<span>B) Mike does not have enough money budgeted for food or medical expenses.</span>
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A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t
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Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field=1500000 square ft

Area of rectangular field=l\times b

Area of rectangular field=x\time y

1500000=xy

y=\frac{1500000}{x}

Fencing used ,P(x)=x+x+y+y+y=2x+3y

Substitute the value of y

P(x)=2x+3(\frac{1500000}{x})

P(x)=2x+\frac{4500000}{x}

Differentiate w.r.t x

P'(x)=2-\frac{4500000}{x^2}

Using formula:\frac{dx^n}{dx}=nx^{n-1}

P'(x)=0

2-\frac{4500000}{x^2}=0

\frac{4500000}{x^2}=2

x^2=\frac{4500000}{2}=2250000

x=\sqrt{2250000}=1500

It is always positive because length is always positive.

Again differentiate w.r.t x

P''(x)=\frac{9000000}{x^3}

Substitute x=1500

P''(1500)=\frac{9000000}{(1500)^3}>0

Hence, fencing is minimum at x=1 500

Substitute x=1 500

y=\frac{1500000}{1500}=1000

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used=2(1500)+3(1000)=6000 ft

Hence, the shortest length of fence that the rancher can used=6000 ft

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Based on the line plot, how many recipes call for more than 1/4 tsp of salt?
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Harry has decided to give his collection of 24 old coins to his four grandsons. John, the oldest, gets half the collection. Walt
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What expressions is equivalent to −2(x−5)?
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Answer:

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Step-by-step explanation:

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The observations of 124.53, 124.55, 142.51, and 124.52 are obtained when taping the length of a line. What should the observer c
mylen [45]

Answer: the observer should consider to eliminate or to retake the third measure.

Explanation:

The four measures taken are 124.53, 124.55, 142.51 and 124.52.

As it can be easily seen, the third measure is much different from the other three. This means that something went wrong during the observation: it can be either the measure taken wrong or that the number was written wrong (if you switch the 2 and the 4 you get a number similar to the other ones).

If the third measure is not considered, an estimate of the mean would place it around 124.5, while if the outlier (the detatched number) is considered an estimate of the mean would increase to about 129.

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