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Dmitriy789 [7]
3 years ago
8

An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually. If the loan is paid in full at the end of

that period, how much must be
paid back?
Use the calculator provided and round your answer to the nearest dollar.
5
?
Mathematics
1 answer:
Leya [2.2K]3 years ago
6 0

Answer:

Total cost of the loan $55,969.8.-

Step-by-step explanation:

Giving the following information:

An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually.

<u>To calculate the total cost of the loan, we need to use the Future Value (FV) formula:</u>

<u></u>

FV= PV*(1 + i)^n

PV= loan

i= interest rate

n= number of periods

FV= 32,000*(1.0575^10)

FV= $55,969.8

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Which of the below descriptions shows a possible HAMILTON PATH?
Vadim26 [7]

Option B: FECBAD is the Hamilton path

Explanation:

Given that ABCDEF is a graph with vertices A,B,C,D,E and F

We need to determine the Hamilton path.

Since, we know that a Hamilton path is a path that touches every vertex in a graph exactly once.

Option A: EFADECBA

The path touches the vertices E and A twice.

Hence, the path EFADECBA is not a Hamilton path.

Therefore, Option A is not the correct answer.

Option B: FECBAD

The path touches every vertex in the graph exactly once.

Hence, the path FECBAD is a Hamilton path.

Therefore, Option B is the correct answer.

Option C: ADEFBD

The path touches the vertex A twice because when the path travels from F to B the only way to travel through A.

Hence, the path ADEFBD is not a Hamilton path.

Therefore, Option C is not the correct answer.

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The path touches the vertices E and A twice.

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8 0
3 years ago
The production department of Celltronics International wants to explore the relationship between the number of employees who ass
Flura [38]

Answer:

(a) Shown below

(b) There is a positive relation between the number of assemblers and production.

(c) The correlation coefficient is 0.9272.

Step-by-step explanation:

Let <em>X</em> = number of assemblers and <em>Y</em> = number of units produced in an hour.

(a)

Consider the scatter plot below.

(b)

Based on the scatter plot it can be concluded that there is a positive relationship between the variables <em>X</em> and <em>Y</em>, i.e. as the value of <em>X</em> increases <em>Y</em> also increases.

(c)

The formula to compute the correlation coefficient is:

r=\frac{n\sum XY-\sum X\sum Y}{\sqrt{[n\sum X^{2}-(\sum X)^{2}][n\sum Y^{2}-(\sum Y)^{2}]}} }

Compute the correlation coefficient between <em>X</em> and <em>Y</em> as follows:

r=\frac{n\sum XY-\sum X\sum Y}{\sqrt{[n\sum X^{2}-(\sum X)^{2}][n\sum Y^{2}-(\sum Y)^{2}]}} }=\frac{(5\times430)-(15\times120)}{\sqrt{[(5\times55)-15^{2}][(5\times3450)-120^{2}]}} =0.9272

Thus, the correlation coefficient is 0.9272.

7 0
2 years ago
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