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horrorfan [7]
3 years ago
14

A school realizes that they need a new copy machine for their main office. The copy machine costs $5,500. After speaking with th

e financial advisor, they decide to pay 20% of the cost of the machine in cash and finance the rest through their credit union. How much is their monthly payment if the credit union will charge 2% per year compounded monthly for 2 years

Business
1 answer:
Natali [406]3 years ago
5 0

Answer:

$187.18

Explanation:

In this question, we use the PMT formula that is shown on the attachment below:

Given that,  

Present value = $5,500 - $5,500 × 20% = $4,400

Future value = $0

Rate of interest = 2%  ÷ 12 months = 0.16666%

NPER = 2 × 12 months = 24

The formula is shown below:

= PMT(Rate;NPER;-PV;FV;type)

The present value come in negative

So, after solving this, the monthly payment is $187.18

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Assume you have noted the following prices for books and the number of pages that each book contains.Book Pages (x) Price (y)A 5
tigry1 [53]

a) $y=0.00991 x+1.042$b) $r^2=0.7503^2=0.563$\\C) $r=\frac{7(30095)-(4210)(49)}{\sqrt{\left[7(2595100)-(4210)^2\right]\left[7(354)-(49)^2\right]}}=0.7503$

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

We want to create a linear model like this :

$$y=m x+b$$

Where

$$m=\frac{S_{x y}}{S_{x x}}$$

And:  

$$\begin{aligned}& S_{x y}=\sum_{i=1}^n x_i y_i-\frac{\left(\sum_{i=1}^n x_i\right)\left(\sum_{i=1}^n y_i\right)}{n} \\& S_{x x}=\sum_{i=1}^n x_i^2-\frac{\left(\sum_{i=1}^n x_i\right)^2}{n}\end{aligned}$$

With these we can find the sums:  

$$\begin{aligned}& S_{x x}=\sum_{i=1}^n x_i^2-\frac{\left(\sum_{i=1}^n x_i\right)^2}{n}=2595100-\frac{4210^2}{7}=63085.714 \\& S_{x y}=\sum_{i=1}^n x_i y_i-\frac{\left(\sum_{i=1}^n x_i\right)\left(\sum_{i=1}^n y_i\right) n}{=} 30095-\frac{4210 * 49}{7}=625\end{aligned}$$

And the slope would be:  

m=\frac{625}{63085.714}=0.00991

Now we can find the means for x and y like this:

$$\begin{aligned}& \bar{x}=\frac{\sum x_i}{n}=\frac{4210}{7}=601.429 \\& \bar{y}=\frac{\sum y_i}{n}=\frac{49}{7}=7\end{aligned}$$

And we can find the intercept using this:

$$b=\bar{y}-m \bar{x}=7-(0.00991 * 601.429)=1.042$$

And the line would be:

$$y=0.00991 x+1.042$$

Part b

The correlation coefficient is given by:

r=\frac{n\left(\sum x y\right)-\left(\sum x\right)\left(\sum y\right)}{\sqrt{\left[n \sum x^2-\left(\sum x\right)^2\right]\left[n \sum y^2-\left(\sum y\right)^2\right]}}

For our case we have this:

$$\begin{aligned}& \mathrm{n}=7 \sum x=4210, \sum y=49, \sum x y=30095, \sum x^2=2595100, \sum y^2=354 \\& r=\frac{7(30095)-(4210)(49)}{\sqrt{\left[7(2595100)-(4210)^2\right]\left[7(354)-(49)^2\right]}}=0.7503\end{aligned}$$

The determination coefficient is given by:

$$r^2=0.7503^2=0.563$$

Part c

r=\frac{7(30095)-(4210)(49)}{\sqrt{\left[7(2595100)-(4210)^2\right]\left[7(354)-(49)^2\right]}}=0.7503

Learn more about regression line to visit this link

brainly.com/question/7656407

#SPJ4

4 0
1 year ago
Why should speakers deliver the first sentence of her presentation for memory ?
astra-53 [7]
Speakers should deliver the first sentence of their presentation from memory so that they can immediately establish eye contact and sound confident and knowledgeable. This gives a good first impression to the audience.
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In the middle of the fourteenth century, an epidemic known as the Black Death killed a third of Europe’s population, about 34 mi
9966 [12]

Answer:

The black death epidemic resulted to death about 34 million European, left more job vacant. This was becuase many workers died while the jobs the were working on as at that time remained almost unchanged. The remained workers after the black death demanded for rise in wages, although the lords stood against the demand.

Explanation:

Although worker population decreased because of the plague, the amount of land and the tools did not change much. Some farm animals died when the people who took care of them died. Because the remaining workers had more tools and land to work, they became more productive, producing more goods and services. When workers are more productive, employers are willing to pay higher wages. The Statute of Laborers and similar laws in other countries were not very effective. Some lords avoided violating the statute by making “in kind” pay-ments—paying workers with food or other goods rather than wages—or providing other “fringe benefi ts.” Some lords began to pay illegally high wages. Wages increased because there were fewer workers—labor had become more scarce

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3 years ago
Failure to accrue interest expense results in A. an overstatement of net income and an understatement of liabilities. B. an unde
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Answer:

A. an overstatement of net income and an understatement of liabilities.

Explanation:

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3 years ago
Ben is a manager and has many responsibilities to fulfill. What should he do to maintain a proper work-life balance?
san4es73 [151]

Answer: Option A

Explanation: Determine priorities and set realistic goals

7 0
4 years ago
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