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kotegsom [21]
2 years ago
7

4: In 2013, the United States Postal Service charged $0.46 to mail a letter weighing up to 1 oz. and $0.20 per ounce for each ad

ditional ounce. Which function would determine the cost, in dollars, c(z), of mailing a letter weighing z ounces where z is an integer greater than 1
Business
2 answers:
Gekata [30.6K]2 years ago
6 0

Answer:

The function that would determine the cost in dollars, c(z), of mailing a letter weighing z ounces is (0.46 + 0.20z)

Explanation:

Weight of the letter = z ounces (z is an integer greater than 1)

cost to mail a letter weighing 1 ounce = $0.46

cost to mail an additional ounce = $0.20

cost to mail z additional ounces = z × $0.20 = $0.20z

Total cost of mailing a letter weighing z ounces = $0.46 + $0.20z

Therefore, cost function, c(z) = 0.46 + 0.2z

soldier1979 [14.2K]2 years ago
3 0

Answer:

c(z) = 0.46 + 0.20(z - 1)

Explanation:

For letters weighing up to 1 oz $0.46 is charged

For each additional ounce $0.20 is charged

so base cost is $0.46 which should remain constant and should not change.

variable cost is $0.20 which can change according to weight so it should be linked with variable z.

So the required function would be

c(z) = 0.46 + 0.20(z - 1)

Verification:

Lets verify the above function.

When weight of the letter is 1 oz.

c(1) = 0.46 + 0.20(1 - 1) = 0.46 + 0.20(0) = $0.46

When weight of the letter is 2 oz.

c(2) = 0.46 + 0.20(2 - 1) = 0.46 + 0.20(1) = $0.66

Hence the function is working correctly.

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Lemming makes an $18,750, 120-day, 8% cash loan to Notions Co. on November 1. Lemming's end-of-period adjusting entry on Decembe
GREYUIT [131]

Answer:

Interest Receivable (Dr.)           $250

            Interest Revenue (Cr.)                $250

Explanation:

Notions Co. has borrowed money from Lemming and will have to pay cost for it which is a source of fund (revenue) for Lemming. According to the Accrual concept of accounting, revenue should be recognized when earned and not when cash is received.  At year end, the interest revenue of two months has been accrued, so it needs to be recognized in the Books of Lemming.

⇒ 18,750 * 8% = 1,500 p.a.

OR Interest Revenue for two months = (1,500/12) * 2 = $250.

4 0
2 years ago
Use the following information to answer next three questions: IO PI IRR LIFEProject 1 $300,000 1.12 14.38% 15 yearsProject 2 $15
Evgesh-ka [11]

Answer:

Project 1

Explanation:

                    IO          PI    IRR       LIFE

Project 1 $300,000 1.12 14.38% 15 years

Project 2 $150,000 1.08 13.32% 6 years

Project 3 $100,000 1.20 16.46% 3 years

Assume that the cost of capital is 12%.

We should invest in  the projects that have the highest profitability index (PI) first.

PI = present value of project's cash flows / initial outlay

Projects with a high PI should also have high IRRs and this applies to this situation:

  1. Project 3 has a PI of 1.2 and an IRR of 16.46%
  2. Project 1 has a PI of 1.12 and an IRR of 14.38%
  3. Project 2 has a PI of 1.08 and an IRR of 13.32%

If the protects weren't mutually exclusive and the company had enough money for the 3 of them, then it should invest in all of them. But that is not the case, here, since the company has to decide in which project it will invest (only 1 project). The first option should be project 3, but since it cannot be repeated, and its life is short, I would go for project 1.

Besides, it is the only possible answer since you have to choose only 1 project (remember projects are mutually exclusive).

6 0
1 year ago
Suppose the daily change in price of a stock is normally distributed with mean = .20 and standard deviation = .30. What price ch
uranmaximum [27]

Answer:

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.  

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.  

4 0
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Spade Agency separates its accounts receivable into three age groups for purposes of estimating the percentage of uncollectible
Natali5045456 [20]

Answer:

The total estimated uncollectible debt is $6000 as computed below

Explanation:

The total estimated uncollectible debt is computed as follows:

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Accounts 1-60 days past due $10000*25%     $2500

Accounts more than 60 days  $5000*50%    <u>$2500</u>

Total estimated uncollectible debt                 <u>  $6000</u>

The necessary journal entry to record this estimate is shown below:

Dr bad debt expense                        $5000

Cr  Allowance for uncollectible debt           $5000

Even though $6000 is the estimated uncollectible, the implication is that the closing balance in allowance for uncollebtible debt should be $6000,since there is a credit of $1000 already in the account, the balance required to top it up to $6000 is $5000

8 0
2 years ago
Denver Systems has total assets of $1,000,000; common equity of $400,000; a gross profit of $800,000; total operating expenses o
krok68 [10]

Answer:

See

Explanation:

4 0
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