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Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 6%/year compounded monthly. If the future value of the annuity after 12 yr is $65,000, what was the size of each payment?
What is the probability that two randomly selected 40-year-old females will live to be 41 years old? What is the probability that five randomly selected 40-year old females will live to be 41 years old?
Use the method of undetermined coecients to fi nd the general solution of
show that A is an ideal of R and describe the cosets in R/A
A bullet of mass 0.04 kg travelling at 300 m/s hits a fixed wooden block and penetrates a distance of 4cm. Find the average resistance of the wood.
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y.
Consider the function f(x,y,z)= e^xy cos(x+z). What is the directional derivative for f at the point P(0, -pie/6, pie/3) in the direction u parallel to i - j + 2k
Find the best predicted value of y corresponding to the given value of x. The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is hat(y)=11.7+1.02x. Ten pairs of data were used to obtai..
A car is traveling at 92 km/h when the driver sees an accident 55 m ahead and slams on the brakes. What minimum constant deceleration is required to stop the car in time to avoid a pileup?
What is the difference between prime numbers and composite numbers? How are prime numbers and composite numbers related? Prime numbers are often used in cryptography.
If the sum of the areas of both gardens is 165 square yards, find the measure of a side of the square garden.
Set up an appropriate probability space. Which is larger, (a) the probability of having a full house given that the first 2 cards you've dealt have the same denomination, or (b) the probability of having a full house given that there exist 2 cards
A cylinder is inscribed in a right circular cone of height 3.5 and radius (at the base) equal to 2.5. What are the dimensions of such a cylinder which has maximum volume?
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