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Question: PURCHASING A HOME The Johnsons have accumulated a nest egg of $40,000 that they intend to use as a down payment toward the purchase of a new house. Because their present gross income has placed them in a relatively high tax bracket, they have decided to invest a minimum of $2400/month in monthly payments (to take advantage of the tax deduction) toward the purchase of their house. However, because of other financial obligations, their monthly payments should not exceed $3000. If local mortgage rates are 7.5%/year compounded monthly for a conventional 30-yr mortgage, what is the price range of houses that they should consider?
1. Find the direction angles of the vector: 2i-2j-42√k. 2. Find all numbers x for which the angle between c = 3xi + 3j + 3k and d = 3i + 3xj + 3k is π3.
The acceleration due to gravity near the surface of Mars is 3.72ms^-2. A rock is thrown straight up from the surface with an initial velocity of 23ms^-2.
How many riders must you survey (take for test rides) to be 90% confident that the sample proportion is off by no more than five percentage points
Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
a timaran boat with a top speed of 28 knots won the tournament cup in 2010. its tops speeds is 7 knots more than 1.5 times the top speed of the winner monohull in the 2007 tournament. Find the top speed of the monohull in the 2007 tournament.
the area of a rectangle is 991cm squared if 991 is a prime number, what are the whole number dimensions of the rectangle?
if steve's bank offers him a savings account paying 5.3 compounded quarterly and jill's bank offers her an account paying 5.28% continuously who is getting the better offer?
What is your average daily balance at the end of the month on this card? Hint: You will need to research and find the cost of gas and food in order to solve this. Use the national average as of four months before the date Assignment is due. For in..
How far from the firing point will the projectile be when it is 70 feet high? What is x? What is h(x)? Which are you being given and which do you need to find?
1) Find the solution(s): 3/3x-1-2= 25/9x2+12x-5 2) Solve and graph the inequality: x-2/x+6≥3
Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.
A lottery offers one $1000 prize, one $500 prize, five $100 prizes, and ten $10 prizes. One thousand tickets are sold. What should be the price of the ticket if the game is fair?
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