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AveGali [126]
2 years ago
7

Sambuca Juice, Inc. makes donations, pays taxes, and gives employee bonuses from the company's annual income. The donations budg

et is 5% of the company's income. Taxes represent 12% of the income after deducting donations. The bonus is set to be 14% of the income after deducting both donations and income taxes. The company wants to spend $75,000 on bonuses. How much annual income do they need to generate?
Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
4 0

Let, the companies annual income be x.

Donation budget = 5% of x.

Hence, Donation = \frac{5}{100} x= \frac{1}{20} x ... (1)

Taxes represent 12% after deducting donations.

Hence, taxes is shown as \frac{12}{100} (x-\frac{x}{20} ) = \frac{12}{100} (\frac{19x}{20} ) ... (2)

Bonus is 14% after deducting the donations and taxes.

\frac{14}{100} (x-\frac{12}{100} (\frac{19x}{20} ))

Bonus = $ 75000

75000=\frac{14}{100} (x-\frac{12}{100} (\frac{19x}{20} ))

75000=\frac{14}{100} (x-\frac{228x}{2000} )

75000=\frac{14}{100} (\frac{2000x-228x}{2000} )

75000=\frac{14}{100} (\frac{1772x}{2000} )

75000=\frac{24808x}{200000}

x=  $ 604643.66

Annual income of the company is $ 604643.66


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Answer:


Step-by-step explanation:

Given that a store receives shipments of peaches.  They want to sort them by weight.

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iii) 13 peaches to 4 lbs: =13:4=3.25:1   Hence goes to II box

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ii   -  II box

iii   - II box

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v) - I box

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2 years ago
Assume that two samples are independent simple random samples selected from normally distributed​ populations, and do not assume
Paraphin [41]

Answer:

Since we assume that we don't know the population deviations we need to use a t test to check the hypothesis, and the best answer is:

B.t

Step-by-step explanation:

Notation

\bar X_{1} represent the mean for male king penguins

\bar X_{2} represent the mean for the female king penguins

s_{1} represent the sample standard deviation for the sample male

s_{2} represent the sample standard deviation for the sample female

n_{1} sample size for the male penguins

n_{2} sample size for the female penguins

t would represent the statistic

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2 years ago
Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teach
frozen [14]
Write and solve an equation of ratios:

900 students      45 teachers         
------------------  = -----------------  
          x               110 teachers     

Cross multiplying, we get (900)(110) / 45, or

                                                                 
so x = # of students in the high school = 2200   (answer)
                                                                    
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2 years ago
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The R.R. Bowker Company of New York collects data on annual subscription rates to periodicals. Results are published in Library
Igoryamba

Answer:

90%

Step-by-step explanation:

Let's call the percentage of students that read Time magazine by P(T), and the percentage of students that read U.S News and World Report by P(U). So, we have that:

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P(T or U) = P(T) + P(U) - P(T and U)

So, we have that:

P(T or U) = 0.63 + 0.51 - 0.24 = 0.90

So the probability is 90%

6 0
2 years ago
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