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A new machine will cost $25,000. The machine is expected to last 4 years and has no salvage value. If the interest rate is 12%, determine the return and the risk associated with the purchase. Use present worth analysis.

Probability

0.3

0.4

0.3

Annual savings

$7,000

$8,500

$9,500


Write a program to find the minimum no of notes required for the amount M.

Available note denominations are 500:50:10:1

The output should be 500: 3 50: 0 10: 4 1:3

The first integer is a single integer M.


Evaluate the following integrals. (Show your solution)


"1) \\intop 2x\u221ax" "dx"

2) "\\intop" "2\/\u221ax\u00b3" "dx"


Suppose a school has 960 learners enrolled. The ratio of the number of boys to girls is 4:8. Find the difference between the number of boys and the number of girls enrolled at the school.

Of all of the individuals who develop a certain rash, suppose the mean recovery time for individuals who do not use any form of treatment is 30 days with standard deviation equal to 8. A pharmaceutical company manufacturing a certain cream wishes to determine whether the cream shortens, extends, or has no effect on the recovery time. The company chooses a random sample of 100 individuals who have used the cream, and determines that the mean recovery time for these individuals was 28.5 days. Does the cream have any effect?

Solve using simplex method



Minimize Z=10x1+12x2



Subject to:



40x1+30x2>=150



20x1+20x2>=90



10x1+30x2>=60

The mean scores of a random sample of 17 students who took a special test is 83.5. If the standard deviation of the scores is 4.1, and the sample comes from an approximately normal population, find the point and the interval estimates of the population mean adopting a confidence level of 95%. With explanation


write a function with the name calculate_league_points then takes the number of wins, draws, and losses and calculates the number of points a football team has obtained so far - Each win is equal to 4 points - Each win is equal to 2 points - Each win is equal to -1 points


A narrow coil of 10 turns and area 4×10^-2m^2 is placed in a uniform magnetic field of flux density of 10^-2T so that the flux links the turns normally .calculate the accurate induced EMF in the coil if it is removed completely from the field in 0.55seconds

An advertisement which has two morphological processes on it

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