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Dvinal [7]
2 years ago
9

Robert is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $1.50 per mile driven

. If Robert were to drive 4 miles, the total cost would be $26. Write an equation for C,C, in terms of m,m, representing the total cost of renting the truck if Robert were to drive mm miles.
Mathematics
1 answer:
Westkost [7]2 years ago
6 0

Answer: C = $20 + $1.50(m)

Step-by-step explanation:

Let the initial fee be represented as y.

Based on the question, the rental initial fee will be calculated as:

y + $1.50(4) = $26

y + $6 = $26

y = $26 - $6

Initial fee = $20

If Robert were to drive m miles, the cost will be:

C = $20 + $1.50(m)

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A sociologist wishes to estimate the average number of automobile thefts in a large city per day within 2 automobiles. He wishes
anzhelika [568]

Answer:

n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30

So the answer for this case would be n=30 rounded up to the nearest integer

Step-by-step explanation:

Information given

ME = 2 the margin of error desired

\sigma =4.2 standard deviation from previous studies

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance level is \alpha=0.01 and the critical value would be z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30

So the answer for this case would be n=30 rounded up to the nearest integer

5 0
2 years ago
A farmer plants corn in 1/4 of his field. He plants white corn in 3/5 of the corn
bija089 [108]

Answer:

\frac{3}{20}

Step-by-step explanation:

Fraction of the total that is for corn (TC - Total corn):

TC=\frac{1}{4}

fraction of the corn section that is for white corn (WC - white corn in the corn seccion):

 WC=\frac{3}{5}

we need to find the fraction of the whole field that is for the white corn.

For this we need to find how much is \frac{3}{5} out of the \frac{1}{4} destinated to corn, and this will be the fraction of the total that is for white corn. We find this fraction by multiplying the fraction of corn (\frac{1}{4}) by the fraction of white corn in the corn section (\frac{3}{5}).

I will call the total fraction of white corn TWC, thus:

TWC=WC*TC=\\=\frac{3}{5} *\frac{1}{4} \\\\=\frac{3*1}{5*4} \\\\=\frac{3}{20}

the answer is: \frac{3}{20} of the whole field is planted with white corn

5 0
2 years ago
The table below shows the typical hours worked by employees at a company. A salaried employee makes $78,000 per year. Hourly emp
MrRa [10]

Given:

  • The table of typical hours worked by employees at a company
  • salaried employee makes $78,000 per year
  • hourly employees get $26 per hour and $39 per hour when they work more than 40 hours.

To Find: Which payment option to recommend to a new employee.

Solution: I would recommend being a salaried employee.

Explanation:

We begin by calculating the typical number of hours worked per week.

Adding up the hours from the table, we have 0+8+8.5+9.5+10+8+3=47.

The payment for an hourly employee must be calculated as $26 per hour for working till 40 hours, and $39 per hour when they work more than 40 hours.

So, the payment for 47 hours of work per week will be (26)(40) + (39)(7) = 1313 dollars.

As there are 52 weeks in a year, the yearly payment for an hourly emplyee would be (1313)(52) = 68276. That is, an hourly employee would earn $68276.

On the other hand, we are given that a salaried employee makes $78000 per year which is more money than what an hourly employee makes for the same amount of work.

Therefore, I would recommend a new emplyee to be paid a salary rather than work on an hourly basis.


6 0
2 years ago
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JulsSmile [24]

Answer:

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Step-by-step explanation:

5 1
2 years ago
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Question 1/10
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