A student is taking a multiple-choice exam in which each question has four choices. Assume that the student has no knowledge of the correct answers to any of the questions.

She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box.

She randomly selects one ball for each question and replaces the ball in the box.

The marking on the ball will determine her answer to the question.

There are five multiple choice questions on the exam.

What is the probability that she will get

a. Five questions correct?

b. At least four questions correct?

c. No questions correct?

d. No more than two questions correct?

Answers

Answer 1

Answer:

Answer:

d no more than two questions correct

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You have just received a windfall from an investment you made in a friend's business. He will be paying you $10,000 at the end of this year, $20,000 at the end of the following year, and $30,000 at the end of the year after that (three years from today). The interest rate is 3.5% per year. a.What is the present value of your windfall? b.What is the future value of your windfall in three years (on the date of the last payment)?

Answers

Answer:

a. $55,390.29

b. $61,412.20

Step-by-step explanation:

a. To find the present value of your windfall, each value must be brought back to the present year at a rate of 3.5% per year. The present value is:

$PV = (10,000)/(1.035)+(20,000)/(1.035^2)+(30,000)/(1.035^3)\nPV = \$55,390.29$

The present value of your windfall is $55,390.29.

b. To find the future value of your windfall at the date of the last payment, simply compound the preset value amount obtained on the previous item for three years at a rate of 3.5%:

$FV =55,390.29*(1.035)^3\nFV=\$61,412.20$

The future value of your windfall is $61,412.20.

Final answer:

The present value and future value of an investment are calculated using formulas that account for the interest rate and the period. The present value is calculated by dividing each year's payout by the increment of the interest rate for that year and summing these values. The future value in this scenario would be the sum of the payouts.

Explanation:

This question deals with the financial concepts of present value and future value in relation to an investment payout structure over time.

a. The present value is a measure of the current worth of a future sum of money given a specified rate of return. The formula to calculate present value is PV = CF / (1 + r)^n, where CF is cash flow, r is interest rate and n is the period. To calculate the present value of your windfall:

End of Year 1: PV = $10,000 / (1+0.035)^1
End of Year 2: PV = $20,000 / (1+0.035)^2
End of Year 3: PV = $30,000 / (1+0.035)^3

Add all these present values together to get the total present value.

b. The future value is how much an investment is worth at a certain time in the future. The formula to calculate future value is FV = CF * (1 + r)^n. But in this case since the last cash flow coincides with the period, the future value in three years would simply be the sum of all cash flows which is $60,000 ($10,000+$20,000+$30,000).

Learn more about Present Value and Future Value here:

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Can someone help me please

Answers

Answer: 56 times

Pls mark brainleist i really need it

Convert the fractions to decimal numbers.

Answers

Answer: 0.5 as decimal 50% as pertange hope i helped

Step-by-step explanation: <3

Answer:

0.5

Step-by-step explanation:

Hopethatthisishelpful.

Haveagreatday.

Is the sum of any 2 consecutive prime numbers also prime?

Answers

Answer:

Yes! (it’s making me write 20 letters so yes is ur answer ok cool)

Yes beachside I really don’t know you it juts is

The United States Bureau of Labor Statistics (BLS) conducts the Quarterly Census of Employment and Wages (QCEW) and reports a variety of information on each county in America. In the third quarter of 2016, the QCEW reported the total taxable earnings, in millions, of all wage earners in all 3222 counties in America. Suppose that James is an economist who collects a simple random sample of the total taxable earnings of workers in 56 American counties during the third quarter of 2016. According to the QCEW, the true population mean and standard deviation of taxable earnings, in millions of dollars, by county are ?=28.29 and ?=33.493, respectively.
Let X be the total taxable earnings, in millions, of all wage earners in a county. The mean total taxable earnings of all wage earners in a county across all the counties in James' sample is x??.
Use the central limit theorem (CLT) to determine the probability P that the mean taxable wages in James' sample of 56 counties will be less than $33 million. Report your answer to four decimal places.
P(x??<33)=
Use the CLT again to determine the probability that the mean taxable wages in James' sample of 56 counties will be greater than $30 million. Report your answer to four decimal places.
P(x??>30)=