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Igoryamba
3 years 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:
o-na [289]3 years ago
5 0
Given that S<span>am's distribution of meal costs has a mean of $9 and a standard deviation of $3, this means that the range of Sam's meal cost that are within one standard deviation is given by ($9 - 3, $9 + 3) = ($6, $12).

Given that Sam </span><span>always tips the server $2 plus 10% of the cost of the meal, this means that when the cost of the meal is $9, Sam tips $2 + (0.1 x 9) = $2 + $0.9 = $2.90

Therefore, the mean of the distribution of Sam's tips is $2.90

Similarly, the </span><span>range of Sam's tips that are within one standard deviation is given by ($2 + 0.1(6), $2 + 0.1(12)) = ($2 + 0.6, $2 + 1.2) = ($2.6, 3.2) = ($2.9 - $0.3, $2.9 + $0.3)

Therefore, </span><span>the standard deviation of the distribution of Sam's tips is $0.3</span>
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In the book of the new partner:

                                                                   DR                         CR

Business Solutions' Cash book                                        $80,640

New Partner's bank account              $80,640

<em>Being capital contributed to join Business Solution</em>

In the book of Business Solution:

                                                                   DR                         CR

Cash book                                              $80,640

New Partner's Capital account                                      $80,640

<em>Being capital contributed by the new partner to join Business Solution</em>

(b) 4:1 sharing agreement

A 4:1 sharing agreement implies that the new partner will contribute one-quarter of $80,640 standing as equity for Santana Rey in Business Solutions as of January 1, 2018. This is calculated as follows:

Amount to contribute by the new partner = $80,640/4 =  $20,160

This will make the total equity be $100,800 (i.e. $80,640 + $20,160)

The journal entries are presented as follows:

In the book of the new partner:

                                                                   DR                         CR

Business Solutions' Cash book                                        $20,160

New Partner's bank account              $20,160

<em>Being capital contributed to join Business Solution</em>

In the book of Business Solution:

                                                                   DR                         CR

Cash book                                              $20,160

New Partner's Capital account                                      $20,160

<em>Being capital contributed by the new partner to join Business Solution </em>

3. Prepare the January 1, 2018, journal entry required to admit a new partner if the new partner invests cash of $20,160.

(The journal entry will be the same as what we have in b above as presented below:

In the book of the new partner:

                                                                   DR                         CR

Business Solutions' Cash book                                        $20,160

New Partner's bank account              $20,160

<em>Being capital contributed to join Business Solution</em>

In the book of Business Solution:

                                                                   DR                         CR

Cash book                                              $20,160

New Partner's Capital account                                      $20,160

<em>Being capital contributed by the new partner to join Business Solution </em>

4. After posting the entry in part 3, what would be the new partner's equity percentage?

A contribution of $20,160 will make the total equity be equal to $100,800 (i.e. $80,640 + $20,160). As a result, the new partner's equity percentage is the new partner equity contributed divided by the new total of Business Solution’s equity multiply by 100. This is calculated as follows:

The new partner's equity percentage = ($20,160/$100,800) * 100

                                                                  = 0.20 * 100

                                                                  = 20%

I wish you the best.

8 0
3 years ago
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