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Question: FINANCING A HOME The Taylors have purchased a $270,000 house. They made an initial down payment of $30,000 and secured a mortgage with interest charged at the rate of 8%/year on the unpaid balance. Interest computations are made at the end of each month. If the loan is to be amortized over 30 yr, what monthly payment will the Taylors be required to make? What is their equity (disregarding appreciation) after 5 yr? After 10 yr ? After 20 yr ?
Systems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? What circumstances would cause you to use a different method?
One hundred college students were surveyed after voting in an election involving a Democrat and a Republican. Sixty-six were first-year students, 67 voted Democratic, and 12 were non-first-year students who voted Republican. How many first-year st..
Use the linear approximation to estimate the change in volume of a right circular cone of fixed height h = 4m when its radius increases from r = 3m to r = 3.05m [v(r) = πr2h/3].
Iris has been studying an invasive population of snails. This particular snail has no local predators, so the population grows wildly. She has observed that the population follows an exponential rate of growth for fifteen years.
If the bottom of the ladder slides away from the wall, how fast does x change with respect to theta when theta = pi/3
Three points are said to be collinear they all lie on the same line. One way to show that three points are collinear is to show that the slope between any two pairs of the points is the same. If P=(1,5), Q=(2,2), and R(-4,-1), are P, Q, and R col..
describe the order of operations and explain how it is used to simplify expressions. explain specifically the order in
A lidless box is made using 432 square inches of cardboard. Find the dimensions of the box with the largest possbile volume.
Boris races his bicycle for 264 feet . A wheel of his bicycle turns 44 times as the bicycle travels this distance. What is the diameter of the wheel?
Center of Mass of 3D Pyramid, Finding the center of mass of a square-based 3D pyramid is usually done in calculus, but our professor wants us to work it out in algebra.
Vanilla Box Company is going to make open-topped boxes out of 19 × 11-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way?
What percentage of applicants have test scores within two standard deviations of the mean?
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