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Murrr4er [49]
2 years ago
7

In 2018, Usher Sports Shop had cash flows from investing activities of ($2,150,000) and cash flows from financing activities of

($3,219,000). The balance in the firm's cash account was $980,000 at the beginning of 2018 and $1,025,000 at the end of the year. Calculate Usher Sports Shop's cash flow from operations for 2018.
Business
1 answer:
marissa [1.9K]2 years ago
3 0

Answer:

Usher Sports Shop's cash flow from operations for 2018: $5,414,000

Explanation:

Cash at the end of the year = Cash at the beginning of the year + Cash flows from investing activities + Cash flows from financing activities + Cash flows from operating activities

Therefore:

Cash flows from operating activities = Cash at the beginning of the year + Cash flows from investing activities + Cash flows from financing activities - Cash at the end of the year

Cash flows from investing activities of ($2,150,000) <0 and cash flows from financing activities of ($3,219,000) <0.

Cash flows from operating activities = -$980,000 + $2,150,000 + $3,219,000 + $1,025,000 = $5,414,000

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Answer:

1. Most people file their tax returns in the month of February, March and April.

2. The approximate number of people who filed their returns the first week of February and the week of April 15, combined=21 M

3. Most people don't file their tax returns on January for a variety of reasons namely; this is the period after the festive season most companies are fully back at work, this is the period where most people are still preparing their income statements and financial reports for filing and this process usually takes some time, and finally, most people usually feel like they still have a lot of time to the deadline of filing their returns.

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Explanation:

1. Most people file their tax returns in the month of March and April. The number of people who filed their tax returns spiked in the month of February then slowed down a bit in the month of March then spiked again approaching April 15.

2. In the first week of February, about 18 million people filed their tax returns, and in the week of April 15 it was approximately 3 million people. To get the total number combined for February and April we can use the expression;

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Total number=18+3=21 M

The approximate number of people who filed their returns the first week of February and the week of April 15, combined=21 M

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Pa=(A/T)×100

where;

Pa=percentage of people who filed their taxes during the week of April 15th.

A=number of people who filed their tax returns during the week of April 15th

T=total number of people who filed their tax returns

This can also be expressed as;

percentage of people who filed their taxes during the week of April 15th=(number of people who filed their tax returns during the week of April 15th/total number of people who filed their tax returns)×100

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Explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(0.2,0.3)  

Where \mu=0.2 and \sigma=0.3

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.75   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.75 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.75

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.674

And if we solve for a we got

a=0.2 -0.674*0.3=-0.00235

So the value that separates the bottom 25% of data from the top 75% is -0.00235.  

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