An investment earning interest at the rate of 10%, compounded continuously, will double in tyears. Find t. Use the formula P:= Poer", where Pt is the amount after tyears, Po is the initial amount, ris the rate of interest, and tis the time. years.
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- q2- 91.2% of 1980 is: Select one: 18057.6 180576 180.576 1805.76 18.0576The Kleenglass Corporation makes a dishwasherthat has excellent cleaning power. This dishwasheruses less water than most competitors, and it isextremely quiet. Orders have been received fromseveral retail stores for delivery at the end of each ofthe next 3 months, as shown below: MONTH NUMBER OFUNITSJune 195July 215August 205 Due to limited capacity, only 200 of these dish-washers can be made each month on regular time, and the cost is $300 each. However, an extra 15 unitsper month can be produced if overtime is used, butthe cost goes up to $325 each. Also, if there are anydishwashers produced in a month that are not soldin that month, there is a $20 cost to carry this item to the next month. Use linear programming to deter-mine how many units to produce in each month on regular time and on overtime to minimize the totalcost while meeting the demand.The average annual return for a hedge fund in the United States in 2020 is considered to be normally distributed with μ = 13.5 percent and σ = 2.5 percent. (a) What is the probability that a hedge fund had an annual return of between 9.5 and 13 percent? Write out the solution in integral form and use the following R code to compute the numerical answer: pnorm(x2, mean = μ, sd = σ) − pnorm(x1, mean = μ, sd = σ) (b) What annual return would a hedge fund need to have in order to be in the top 10 percent of all hedge funds in the United States? Write out the equation we would need to solve in order to answer this question, then use the qnorm() function in R to find this score.
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