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When someone is paying off a loan with initial amount A and monthly payment M at an interest rate of p percent, the total amount T(n) of the loan after n months is computed by adding p/12 percent to the amount due after n-1 months and then subtracting the monthly payment M. Convert this description into a recurrence for the amount owed after n months.
Using calipers, you find that a copper cylinder has length 8.625 and diameter 1.218 . An electronic pan balance shows that its mass is 89.84 . Find the cylinder's density.
You place a cup of 210°F coffee on a table in a room that is 68°F, and 10 minutes later, it is 200°F . Approximately how long will it be before the coffee is 180°F? Use Newton's law of cooling: 180°F A: 1 hour B: 15 minutes
Verify that y1(t) =(1/(t^3)) and y2(t) = (ln(t))/(t^3) are solutions to (t^2)y''+7ty'+9y = 0, t>0. Do y1, y2 for a fundamental set of solutions? Give a reason for your answer and show all steps.
If the silo is 90 ft high and the man makes exactly three complete revolutions, how much work is done by the man against gravity in climbing to the top?
Central Nursery has decided to adopt has decided to adopt activity-based costing. One likely reason the firm's accountants decided on this approach was to
Suppose A divides N and B divides N. Does this always imply: A * B divides n? Now the question is under what condition A*B will always divide N? Prove it.
jack and mike have 128 marbles altogether. jack gives 14 of his marbles to norman and mike gives 37 of his to norman.
Two trains leave stations 384 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
Describe two real-life examples where the order of operations and basic math principles are used either at home or on the job.
A rectangular field has an areaof exactly 1 square mile. if the field has a length of 250 yards and 3 inches, what is the width of the field? Give your answer in feet and inches, and round to the nearest inch. What is the perimeter of this field?
Graph the following equations and inequalities on a coordinate plane, shading the solution set where necessary. 2x+5y=1
Distributive Laws (I) Prove that A intersection (B union C) = (A intersection B) union (A intersection C)
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