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1. What is a sequence? Provide an example with your explanation.
2. What is a sequence for? Give an example of a sequence that you might encounter.
3. What is the difference between the present value of an investment and the present value of an annuity? How are they computed? What is amortization? How are the payments computed?
4. How does the maturity value of simple interest A = P(1 + rt) compare to the maturity (future) value of compound interest? The formula for the maturity value of compound interest is A = P(1 + i)n, where i = m/n and n = m*t.
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
a printing press has a roller 22 inches in diameter. A point on the roller's surface moves at a speed of 109 feet per second. What is the roller's angular speed?
a garden shop wishes to prepare a supply of special fertilizer at a minimal cost by mixing two fertilizers a and b. the
If a = i + 7j + k and b = i + 13j + k , find a unit vector with positive first coordinate orthogonal to both a and b in terms of i, j, and k.
The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 14 dollars per foot. Find the dimensions of the enclosure that is most economical to construct.
1. At what interest rate will it take $3000 to grow to $24,000 in an account that earns interest compounded monthly for 20 years? 2. Alice invests $10,000 in an account that earns 8% simple interest annually. What is the value of the account after..
Simulate 2000 coin flip experiments with a biased coin with "success" probability (chance of 1) p = 1/5. Plot an outcome of the proportion of successes with respect to the number of coin flips. Supply your code.
How many samples contain at least 1 rotten apple?
Treat the statistics from part (a) as if they are population parameters and assume a normal distribution to find the values of the quartiles, Q1, Q2 and Q3.
John steps on an escalator to leave a subway. Then, 5 seconds later, Jane steps on a parallel escalator to enter the subway. They pass 14 seconds after that. If both escalators are travelling at a speed of 5 feet per second, what is the length of ..
A swimming pool has a small leak in it. The pool has 25000 gallons of water. The water is leaking out at the rate of 12 gallons every 7 minutes. In how many days will the pool be empty?
a retailer wants a 30% markup on the selling price of an item that costs him $214.90. what selling price should be charge?
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