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1. For the following problems, determine how many years it will take for the two accounts to reach the same amount.
A 1000 dollar investment at a rate of 3% compounded monthly and an 1100 dollar investment at a rate of 3.02% compounded annually.
A 2000 dollar investment at a rate of 4% compounded continuously and a 3000 dollar investment at a rate of 5% compounded monthly.
2. Calculate the annual percentage yield for each investment.
A. A savings account paying an annual rate of 4 percent compounded quarterly.
B. A checking account paying an annual rate of 1.5 percent compounded daily.
3. What is the future value if $4900 is invested for 3 years at an annual rate of 12% compounded monthly?
4. What is the annual percentage yield (or effective annual rate) for a nominal rate of 7.3% compounded quarterly?
Probability - independence of 2 events. Prove that if A and B are independent events in a probability space, then the events A^c and B^c are also independent.
Decision Analysis with Decision Tree, Jack Nimble, an employee of Daniel Construction Company, claims to have injured his back as a result of a fall while repairing the roof at one of the Eastview apartment buildings
Use the Midpoint Rule, with n=4, to approximate the area of the region bounded by f (x)=x^3 -8x^2+16x and the x-axis between x=0 and x=4. Round answer to two decimal places.
Give the y values for x = -2, -1, 0, 1, 2, 3. Using these points, draw a curve.
Suppose a family plans 6 children, and the probability that a particular child is a girl is 1/2. Find the probability that the 6 child family has exactly 2 girls.
If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting
draw a Venn diagram showing the overlapping sets A and B and fill in the probabilities of the four regions formed. b. find the probability that A occurs but B doesn not.
Let f be a function given by-Is there a function g: R ---> R such that g'=f? Be careful applying definition of the derivative
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
Evaluate the type of conic from the given equation - Indicate which type of conic each of the following represents.
The director of a summer day camp estimates that 120 children will join if the camp fee is $250, but for each $25 decrease in the fee, five more children will enroll.
The probability P, If the random variable z is the standard normal score, is it true that P(-1
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