The Jonsons have accumulated the nest egg of $10,000 that they indent to use as a down payment towards the purchase of a new house. Because their present gross income has placed them in a relative heigh tax bracket, they have decided to invest a minimum of $2,800/month monthly payments ( to take the advantages of the tax deduction) towards the purchase of their house. However, because of other defalt obligation their monthly payment should not exceed $4,000. If Jonson decide to secure a 15-years mortgage istead of a 30- years mortgage, what is the price range of houses they should consider when the local morgage rates for this type of loan is 7% ? Round your answers to nearest integer.

a. The range of the homes they should consider is approximately $446,834 to $453,241.
b. The range of the homes they should consider is approximately $443,241 to $453,696 .
c. The range of the homes they should consider is approximately $443,842 to $453,842 .
d. The range of the homes they should consider is approximately $321,517 to $455,024.
e. The range of the homes they should consider is approximately $443,696 to $456,834 .

d. The range of the homes they should consider is approximately $321,517 to $455,024.

Mathematics

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Solve.An open-top rectangular box has a square base and it will hold 107 cubic centimeters (cc). Each side of the base has length x cm. Its surface area S is given byS(x) = + x2. Graph the function on the interval (0, ?).

A.

B.

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D.

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Mathematics

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Foci at (0, -25), (0, 25); asymptotes: y = x, y = - x