From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many combin
1 answer:
Answer:
495 combinations of 4 students can be selected.
Step-by-step explanation:
The order of the students in the sample is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
How many combination of random samples of 4 students can be selected?
4 from a set of 12. So
495 combinations of 4 students can be selected.
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Amount spent for food = $5850, housing = $4680, clothing = $2340, savings = $2600, taxes = $5850, expenses = $2080.
<u>Step-by-step explanation:</u>
Step 1:
Given details are Total Income = $23,400
Step 2:
Amount spent for food, F= 1/4th of 23,400 =
= $5850
Step 3:
Amount spent for housing, H = 1/5th of 23,400 =
= $4680
Step 4:
Amount spent for clothing, C = 1/10th of 23,400 = = $2340
Step 5:
Amount spent for savings, S = 1/9th of 13,400 = = $2600
Step 6:
Amount spent for taxes, T = 1/4th of 23,400 = =$5850
Step 7:
Find amount spent on other expenses by totaling all expenditures and subtracting from the annual income.
Annual Income = F + H + C + S + T + E
Amount spent on other expenses, E = 23400 - (5850 + 4680 + 2340 + 2600 + 5850)
E = 23400 - 21320
E = $2080
We have been given that Marcus works for 26 hours each week and 48 weeks each year.
Thus in a year he works for hours.
Now, we have been given that Marcus earns $8.40 per hour.
Therefore, in 1248 hours, he earns
Marcus has to pay tax if he earns more than $10,000. Now we have calculated that he earns $ 10483.2 which is higher than $10,000.
Therefore, Marcus has to to pat tax.