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Shawn has a gross monthly salary of $4,200. He has a $325 car loan payment and a $230 student loan payment due each month. He also has two credit card loan payments each month, one of $187 and the other of $233. A bank will only give a mortgage loan if the total amount of monthly payments for all loans, including the mortgage, is no more than 36% of the monthly gross income. What is the maximum monthly mortgage loan payment for which Shawn can be approved?
June finishes her math homework 90% of the time.If she has homework for each school day for four full school weeks, how many days will she turn in her homework?
Consider the transformation w = (i - z) / (i + z) . Show that the upper half plane Im z > 0 maps to the disk |w|
The theory of the broken chord asserts that if AB and BC make up a broken chord in a circle, where BC > AB and if M is the midpoint of arc ABC, the foot F of the perpendicular from M on BC is the midpoint of the broken chord ABC.
In a parking lot, there are 84 vehicles. All vehicles are either cars, trucks, or bicycles. There are twice as many trucks as bicycles, and twice as many cars as trucks.
The length of a swimming pool is 22 ft. The width is 40 ft. If the volume of the pool is 2,500 ft³, which equation below could be used to find the depth of the pool?
Show a sketch of a region satisfying set of inequalities or system of inequalities
Prove that if M is a maximal ideal of S and phi is surjective then phi^-1(M) is maximal ideal of R. Give an example to show that this need not be the case if phi is not surjective.
Find the solution to the given system that satisfies the initial condition
determine the percentage of women whose pregnancies are between 257 and 277 days
Are the following examples linear transformations from p3 to p4? If yes, compute the matrix of transformation in the standard basis of P3 {1,x,x^2} and P4 {1,x,x^2,x^3}.
What is the vertex of a parabola? How do you determine the vertex of the parabola? Demonstrate with an example.
Palo Alto College is planning to construct a rectangular parking lot on land bordered on one side by a highway. The plan is to use 480 feet of fencing to fence off the other three sides. What dimensions should the lot have if the enclosed area is ..
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