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marissa [1.9K]
3 years ago
12

Bill Mason is considering two job offers. Job 1 pays a salary of $41,300 with $5,525 of nontaxable employee benefits. Job 2 pays

a salary of $40,400 and $7,125 of nontaxable benefits. Use a 25 percent tax rate.
Calculate the monetary value for both the jobs.
Mathematics
1 answer:
kupik [55]3 years ago
3 0

Answer:

To Calculate the monetary value of both jobs, you would have to calculate the percent tax rate of each salary and add the nontaxable benefit after taxes.

Step-by-step explanation:

Reminder: since the 25% is a tax rate which we need to <u>subtract</u> from the salary, 75% would be what is left over from the salary after taxes.

<u>Job 1:</u>   Job 1 pays a salary of $41,000 and $5,525 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

(41,000 * 0.75) + 5,525 = 36,275

<em><u>So the monetary value of Job 1 would be $36,275</u></em>

<u>Job 2:</u> Job 2 pays a salary of $40,400 and $7,125 of nontaxable benefits. So we calculate the 75% that is left after taxes and add the benefits afterwards.

(40,400*0.75) + 7,125 = 37,425

<em><u>So the monetary value of Job 2 would be $37,425</u></em>

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<u>Answer:</u>

<u>1. A. You allow the passenger to board his flight when the passenger has a weapon.</u>

<u>2. B. You select the passenger for further inspection when the passenger has no weapon.</u>

<u>Explanation:</u>

1. Remember, a Type I error in simple words means that the assumption "the passenger has a weapon" (null hypothesis) is <em>actually true,</em> but the airport security screener <em>incorrectly concluded it is false. </em>In other words, he assumed the passenger had no weapon and allowed the passenger to board his flight <u>when he actually did have one.</u>

<em>2. While, </em><em>a </em><em>Type II error </em><em>means that </em>the assumption "the passenger has a weapon" (null hypothesis) is <em>actually false, </em>but the airport security screener <em>incorrectly concluded it is true. </em>In other words, he assumed the passenger had a weapon and selected the passenger for further inspection <u>when he actually didn't have one.</u>

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3 years ago
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Step-by-step explanation:

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Social media is popular around the world. Statista provides estimate of the number of social media users in various countries in
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Answer:

Kindly check explanation

Step-by-step explanation:

The data table :

Use of SM _UK _China _ Russia _US _ col total

Yes ______480 __215 ___343 __640 _ 1678

No _______320 _ 285 ___357__ 360 _ 1322

Row Total__ 800 _500 __ 700_ 1000_ 3000

H0 : p1 = p2 = p3 = p4

H1 : p1 ≠ p2 ≠ p3 ≠ p4

Test statistic :

χ² = Σ(observed - Expected)² / Expected

Expected value of each cell = (Row total * column total) / N

N = grand total

Expected Values:

447.467 _279.667 _ 391.533 _ 559.333

352.533 _ 220.333 _ 308.467 _ 440.667

χ²=(2.36536+14.9527+6.01605+11.6337+3.00232 18.9793+7.63611+14.7665) = 79.352

Degree of freedom, df = (row-1)*(column-1) = (2 - 1) * (4 - 1) = 1 * 3 = 3

Using the Pvalue from Chisquare calculator :

Pvalue(79.352, 3) = 0.00000000001

Decision region :

Reject H0 ; If Pvalue < α

α = 0.05

Since 0.000000001 < 0.05 ; Reject H0 and conclude that not all population proportion are equal.

Sample proportion :

Phat = number of yes, x / total

For UK, Phat = 480/800 = 0.6

For China , Phat = 215/500 = 0.43

For Russia , Phat = 343/700 = 0.49

For US, Phat = 640/1000 = 0.64

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