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Question: PERSONAL LOANS Two years ago, Paul borrowed $10,000 from his sister Gerri to start a business. Paul agreed to pay Gerri interest for the loan at the rate of 6%/year, compounded continuously. Paul will now begin repaying the amount he owes by amortizing the loan (plus the interest that has accrued over the past 2 yr) through monthly payments over the next 5 yr at an interest rate of 5%/year compounded monthly. Find the size of the monthly payments Paul will be required to make.
There are 10 rolls of film in box and 3 are defective. 2 rolls are to be selected without replacement. What is the probability of selecting a defective roll followed by another defective roll?
Let A be an n X n matrix, and suppose A has n real eigenvalues, ?1,,,,,,,,, ?n, repeated according to multiplicities.
Is there a vector r such that the directional derivative of f at (1,1,0) in the direction of r equals 1? If there is, find one such vector. If not, explain why not.
a building cast shadow 230 meters long at the same time a pole 2 meters high casts a shadow 10 meters long. what is the height of the building.
If you roll two dice, what is the probability of an even sum or a sum of 8 or more?
The monthly sales at an import store are currently $10,000 but are expected to be declining at the rate of S'(t) = -10t^(2/5) dollars per month t months from now. The store is profitable as long as the sales level is above $8,000 per month. Find a fo..
Let Pn(t) be the probability that a Poisson process with parameter λ has n events in an interval of length t. Let h denote a very small interval of time (like ?t).
If you have 280 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Electric Depot sells boxes of high efficiency light bulbs ($6 box) and switch plates ($12 each). In May, total sales were $42,000. Customers bought 5 times as many boxes of light bulbs as switch plates. How many of each did Electric Depot sell.
Three-person Problem of Points
Research a restaurant or hotel anywhere in the United States you have had a personal experience with. You are to then complete a TripAdvisor evaluation for the chosen restaurant or hotel.
A person deposited $500 in a savings account that pays 5% annual interest that is compounded yearly. At the end of 10 years, how much money will be in the savings account?
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