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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.
A particle's position is give by s = 3t^3 - t^2 + 2t. What is it's acceleration at t=2? This seemed too easy.
Determine an equation for the right bisector of the line segment with endpoints P(-5,-2) and Q(3,6)
It takes 5 hours to fill an empty tank when both outlet pipes are open. When one outlet pipe is closed, it takes 3 hours to fill the tank. Find the flow rates (in gallons per hour) in and out of the pipes.
A traveler owing a gold chain with 7 links is accepted at an inn on condition that he pay one link of the chain for each day he stays. if the traveler is to pay daily and may be given links already used in payment as change
Give a real-life example of a situation in which you would use a system of inequalities, and for which the solution must be in the first quadrant.
An executive invests $28,000, some at 6% and some at 5% annual interest. If he receives an annual return of $1540, how much is invested at each rate.
A body of mass 8 kg moves in a (counterclockwise) circular path of radius 8 meters, making one revolution every 12 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function?
In a school of 160 students, 44 students are in the band, 100 students are on sports teams, and 24 participate in both activities. How many students are involved in band or sports.
Explain why the trinomial is or is not a special case and describe your process for factoring it completely. Be sure to use three or more sentences in your explanation. If the polynomial can be factored, then factor it showing your work.
A plane flies 470 miles with the wind and 340 miles against the wind in the same length of time. If the speed of the wind is 26 mph, what is the speed of the plane in still air?
A studebts tuition was $4180. A loan was obtained for 4/5 of the tuition. How much was the loan?
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