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Consider a savings account started with an initial deposit of y(0) dollars. The interest rate is r percent per annum and the interest is compounded every month. The depositor is allowed to make additional deposits every month, say, u(1), u(2), u(3), and so on. Write a difference equation that will model the balance at the end of any month, expressing it in terms of previous balance, the amount deposited during the month, and the interest accrued during the month.
Now, use the model you developed to find the total balance after 5 years if a person starts with an initial deposit of $500 on the first day of a given month and deposits $100 on the first day of every subsequent month. The interest rate is10% per annum and is compounded on the last day of every month. Assume that the number of days in a month is equal.
You are a census officer in a newly democratic nation and you have been charged with using the census data from the table below to determine how 100 congressional seats should be divided among the 10 states of the union.
A. What is the probability that an employee will have a cold next year? b. Given that an employee is involved in an exercise program, what is the probability that he or she will get a cold next year?
Problem 1: Use the definition of an improper integral to evaluate the integral below:
Find the mean and standard deviation of the number who spend at least $15 per month. What is the probability that at least 40% of them will spend a t least $15 per month?
1) Tommy's cab company transports riders using 2 routes. Use the following data to determine the mean driving time and the variance in the driving time.
Does it appear that gender/sex is a significant factor in the differences in salary in this sample?
A normal resting heart rate for adults ranges from 60 to 100 beats a minute," reports Dr. Edward Laskowski of the Mayo Clinic. Lower resting heart rates are generally associated with higher cardiovascular fitness.
Formulate the Linear Programming model for this problem. Solve the problem using Excel Solver or QM for Windows.
Compute the 99% confidence interval for the mean life of this new type of light bulb.
Every convergent sequence contains either an increasing, or a decreasing subsequence.
Compute expected frequencies for each of the cells in the table in part c). Do you feel that the exponential distribution provides an adequate description of these data and give an expression for the probability that the point is at the origin aft..
The slopes in the direction field are all identical along horizontal lines and new solutions can be generated from old ones by time shifting (i.e., replacing y(t) with y(t - t0).
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