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Q: If n(A ∪ B) = 60, n(A ∩ B) = 40, and n(A) = n(B),find n(A).
A: Givenn(A∪B)=60n(A∩B)=40n(A)=n(B)To find n(A)
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Q: If n(A ∪ B) = 50, n(A ∩ B) = 10, and n(B) = 20,find n(A).
A: Given,n(A∪B)=50,n(A∩B)=10 and n(B)=20 To find: n(A) Solution: We know,…
Q: iven P(A) = 0.40, P(B) = 0.25, and P(B|A) = 0.11, what is P(A or B)?
A: Given,P(A)=0.40P(B)=0.25P(B/A)=0.11
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Q: If n(A) = 45, n(B) = 15, and n(A ∩ B) = 9, find n(A ∪ B).
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Q: If n(A) = 40, n(B) = 22, and n(A ∩ B) = 4, find n(A ∪ B).
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Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).
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Q: If n(A) = 44, n(B) = 17, and n(A ∩ B) = 5, find n(A ∪ B).
A: We given that n(A) = 44, n(B) = 17, and (A ∩ B) = 5
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- Kenneth currently sells suits for company A at a salary of $22,000 plus a $10 commission for each suit sold. Company B offers him a position with a salary of $28,000 plus a $4 commission for each suit sold. How many suits would Kenneth need to sell for the options to be equal?one safe investment pays 10% per year, and a riskier investment pays 18% per year. A woman who has $145,600 to invest would like to have an income of $20,000 per year from her investments. How much should she invest at each rate?Jake has $225,000 to invest. He chooses one money market fund that pays % 6.2 and a mutual fund that has more risk but has averaged %8.2 per year. If his goal is to average 6.6% per year with minimal risk, how much should he invest in each fund?
- Naomi wants to take fitness classes at a nearby gym, but she needs to start by selecting a membership plan. With the first membership plan, Naomi can pay $54 per month, plus $1 for each group class she attends. With the second membership plan, she'd pay $12 per month plus $3 per class. If Naomi attends a certain number of classes in a month, the two membership plans end up costing the same total amount. How many classes per month does that take? What is that total amount Naomi will pay per month for a membership and that many classes?One safe investment pays 10% per year, and a more risky investment pays 18% per year. A woman who has $145,900 to invest would like to have an income of $20,030 per year from her investments. How much should she invest at each rate?A tutor at ABC learning center receives a monthly base pay of P8,000 corresponding to a P5,000 tutorial fee input to the center. he gets a share of 15% of all tutorial fees beyond the mandatory P15,000 input. If each student he handles pays P6,000/month on tutorial fees and he has five students for the month, how much share does he receive beyond his base pay?
- After reading consumer car guides and receiving advice from family and friends, Ayshahas chosen the new car she would like to purchase. She now wants to research her financingoptions to choose the best way to pay for the car.Aysha knows that with taxes, licence, delivery, and dealer preparation fees, her car willcost $17 650. She has saved $7500 toward the purchase price but must borrow the rest. Shehas narrowed her financing choices to three options: dealer financing, credit union financing,and bank financing.(i) The car dealer has offered 48-month financing at 8.5% compounded monthly.(ii) The credit union has offered 36-month financing at 9% compounded quarterly. It hasalso offered 48-month financing at 9.3% compounded quarterly.(iii) The bank has offered 36-month financing at 8.8% compounded semi-annually. It hasalso offered 48-month financing at 9.1% compounded semi-annually.Aysha desires the financing option that offers the best interest rate. However, she alsowants to explore the…A retired woman has $60,000 to invest. She has chosen one relatively safe investment fund that has an annual yield of 9% and another riskier fund that has a 13% annual yield. How much should she invest in each fund if she would like to earn $6,000 per year from her investments? 9% fund $ 13% fund $A company produced 20,000 units at a total cost of $30,000 in March. In April thecompany produced 50,000 units at a total cost of $$63,000. What is the variable cost perunit?
- For an organisation whose funding in 2006 was above the average would you expect their funding in 2018 to be above or below averageDuring the first quarter of 2015, Plains All American Pipeline L.P. (PAA) stock cost $50 per share and was expected to yield 5% per year in dividends, while Total SA (TOT) stock cost $50 per share and was expected to yield 6% per year in dividends.† If you invested a total of $47,000 in these stocks and expected to earn $2,515 in dividends in a year, how many shares of each stock did you purchase? PAA stock shares TOT stock sharesIn a year when the maximum income for social security was $106,800, Bart worked at two jobs. In one job he earned $99,112. In his second job, he earned $56,222. Both of his employers took out social security tax. As a result, Bart had paid excess Social Security tax, and the government must return some of it to him. How much does the government owe him for excess Social Security paid?