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Sonja
3 months ago
7

When sam goes to a restaurant, he always tips the server $2 plus 10% of the cost of the meal. if sam’s distribution of meal cost

s has a mean of $9 and a standard deviation of $3, what are the mean and standard deviation of the distribution of his tips?
Business
1 answer:
soldi70 [3.6K]3 months ago
5 0
Sam's meal costs have an average of $9 with a standard deviation of $3, so the meal costs lying within one standard deviation range from $6 to $12 ($9 - 3 to $9 + 3).

Since Sam tips $2 plus 10% of the meal price, for a $9 meal he tips $2 + 0.1 × 9 = $2.90.

Thus, the average tip amount is $2.90.

The tip amounts that fall within one standard deviation correspond to meals priced between $6 and $12, meaning the tips range from $2 + 0.1×6 = $2.60 to $2 + 0.1×12 = $3.20. This matches the interval ($2.90 - $0.30, $2.90 + $0.30).

Hence, the standard deviation for the tip amounts is $0.30.
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What was the weighted average interest rate Colgate faced on its short-term borrowings in 2013? Enter with 1 decimal place and w
soldi70 [3635]

Answer:

In 2013, Colgate's weighted average interest rate on its short-term borrowings was:

2.2%.

Explanation:

On page 62 of Colgate Palmolive's 10-K annual report, covering the fiscal year ending December 31, 2013, it was noted that "the weighted-average interest rate for short-term borrowings amounting to $13 in 2013 and $54 in 2012 listed in Notes and loans payable in the Consolidated Balance Sheets as of December 31, 2013, and 2012 was 2.2% and 1.0%, respectively."

The weighted average interest rate is calculated by considering the varying interest rates on short-term borrowings combined with their corresponding weights. These weights assist in calculating the average interest rate based on their proportionate sizes relative to the overall interest expense.

9 0
3 months ago
A foundation was endowed with $15,000,000 in July 2010. In July 2014, $5,000,000 was expended for facilities, and it was decided
marusya05 [3725]

Answer:

$2,274,639.75

Explanation:

The endowment as of July 2010 was $15,000,000

Endowment value by July 2014 = $15,000,000 (1+0.05)^4 - Facility expenditures

= $15,000,000 (1.2155) - $5,000,000

= $18,232,500 - $5,000,000

= $13,232,500

Funds reserved for operational expenses = $250,000/0.05 = $5,000,000

Available funds for capital replacement = $13,232,500 - $5,000,000 = $8,232,500

Effective interest rate over 5 years = (1+0.05)^5 - 1 = 0.2763

Annual capital replacement funds every fifth year indefinitely = $8,232,500 (0.2763) = $2,274,639.75

8 0
2 months ago
Kendra owns a sporting goods store. She is in court because of a breach of contract lawsuit against her supplier. One of the ter
arsen [3447]

Response:

Yes, but it's primarily to clarify the unclear terms of the contract

Explanation:

Breach of contract is a valid reason for action that reflects a common grievance where at least one party to the agreement does not adhere to what was reasonably expected of the anticipated transaction, either by failing to perform or obstructing the other party's fulfillment. A significant breach represents the most serious type of agreement violation. Such instances occur when a party has failed

to

fulfill their contractual obligations as outlined in the agreement. Consequently, the affected party may pursue damages through a formal lawsuit. For instance, if a contractor completes an assignment but is not compensated, it constitutes a significant breach.

6 0
2 months ago
The cost constraint suggests that, even when the cost of providing accounting information exceeds its benefit, the financial acc
Nady [3600]

Answer:

False

Explanation:

According to GAAP, if the costs associated with providing accounting information surpass the benefits of obtaining such data, then it should not be reported.

For instance, there might be minimal discrepancies in particular accounts that prevent a balance sheet from being accurate. If the accounting mistake is negligible, such as a few hundred dollars, it isn't practical to have an entire audit team re-examine all financial statements to find the source of the error. An adjusting entry could be utilized to balance the accounts.

Consider a scenario where you, as an auditor, need to verify the physical inventory at a factory, but some supply boxes have been misplaced. Counting all supplies and materials again could take an entire day; however, is it truly worth that time? If the items are highly valuable, then yes, otherwise, if they consist of low-cost components, likely not.

3 0
2 months ago
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