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antoniya [11.8K]
3 years ago
9

If a donut shop sells a dozen donuts for $6.00, what would the cost of 9 donuts be at the same rate?

Business
1 answer:
larisa86 [58]3 years ago
3 0
To solve this question, first we need to find out the price of a single donut.

12 donuts = $ 6.00
1 donuts = $6.00 / 12

1 donuts = $ 0.50

After that, we just need to multiply the price for a single donut with the required amount (9), which will be:

9 x $ 0.50 = $ 4.50 . . . . for 9 donuts



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"The spot price of the market index is $900. A 3-month forward contract on this index is priced at $930. What is the profit or l
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$10 profit

Explanation:

In this question, we are asked to calculate the profit or loss to a short position.

Firstly, we identify that the spot price of market index is $900.

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Raising the index to $920 at the expiry date is obviously a profit to the short position.

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Explanation:

Assuming the following dataset:

x                 y

8.6           9.6

9.3           18.5

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Assuming this question: "The data has a correlation coefficient of r = 0.934. Calculate the regression line for this  data. What percentage ofvariation is explained by the regression line? Predict the number of doctors per 10,000 residents in a town with a per capita income of $8500."

We want a linear model like this:

y = mx +b

Where m represent the slope and b the intercept for the linear model. And we cna find the slope and b with the following formulas:

m = \frac{n \sum xy - \sum x \sum y}{n \sum x^2 -(\sum x)^2}

b = \frac{\sum y}{n} -m \frac{\sum x}{n}

And from the dataset we have the following values:

n= 6, \sum x =53, \sum y = 83.7 , \sum xy = 755.89, \sum x^2 = 471.04

And replacing into the equation for m we got:

m =\frac{6(755.89) - (53)(83.7)}{6(471.04) -(53)^2}=5.756

And the intercept:

b = \frac{83.7}{6}-36.895 5.756 \frac{53}{6}=-36.895

And then the linear model is given by:

\hat y = 5.756 x -36.895

We can find the estimation replacing x = 8.5 into the linear model and we got:

\hat y = 5.756(8.5) -36.895=12.031

And we have 12.031 doctors per 10000 residents.

The percentage of variation esplained by the model is given by the determination coefficient, on this case:

R^2 = 0.934^2 =0.872

And we have 87.2% of the variation explained by the linear model given.

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Explanation:

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