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A couple has decided to purchase a $100000 house using a down payment of $17000. They can amortize the balance at 8% over 15 years.
a) What is their monthly payment?
b) What is the total interest paid?
A bullet is fired vertically upward. Its distance s (in ft) above the ground is given by: s=2250t-16.1t^2 where t is the time (in s).
Let f (x) = |x| for x greater or equal to -1, less than or equal to +1. Write the Fourier series for f (x) on [-1,1]. Show that this series can be differentiated term by term to yield the Fourier expansion of f'(x) on [-1,1]
The distance between a chord and the center of a circle is 51 cm, and the chord is 136 cm long. What is the diameter of the circle?
What other real-world factors might be important to consider in designing the simulation and making a recommendation?
Find an equation for the sphere centered at (2, -4, -1) that is tangent to the y-z coordinate plane.
What is the least amount of wrapping paper that is needed to wrap a gift box that is 2 feet by 1 foot by 3 feet?
Determining the dimensions of a rectangle of maximum area that is formed by x- axis and a semi circle - What length and width should the rectangle have so that its area is a maximum?
The Dean of Students believes that the costs are greater this semester. What is the test value for this hypothesis?
The perimeter of a rectangle is twice the length plus twice the width. The area of a rectangle is the product of its length and width. Suppose we let l represent the length and w represent the width of a rectangle.
Explain how the aggregate expenditure function shifts in response to changes in each of the following variables:
A mirror in the shape of a paraboloid of revolution. If a light source is located 1 foot from the base along the axis of symmetry and the opening is 2 feet across, how deep should the mirror be?
Standing at a crosswalk, you hear a frequency of 570 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 488 Hz. Determine the ambulance's speed from these observations.
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