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The Johnsons have accumulated a nest egg of $16,000 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 $1200/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 $1500. If local mortgage rates are 8.5%/year compounded monthly for a conventional 30-yr mortgage, what is the price range of houses they should consider?
A certain strain of virus grows in numbers at the rate of 50% per hour. If it's present population is 343,000 what will be its population count in 5 hours?
Which mover provides a better deal for 2 hours of work? How did you arrive at your answer?
Conditional Probability: Ball Colour, An urn contains four coloured balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange.
Let a be the permutation (1 2 3) in A_4. What is the order of the element (3, 7, a) in the group U(10) direct product Z_42 direct product A_4.
Let the random variable X be the number of healthy parrots in the sample. Find the probability distribution of X.
Evaluate the integral using a) the trapezoidal rule with four panels, b) Simpson's rule with four panels
Find the length L and width W (with W leq L) of the enclosure that is most economical to construct.
Let P be the point (6,0), let Q be the point (0,4), and let R be the triangular region with with vertices at P, Q, and the origin. Determine the volume of the solid of revolution formed when R is revolved about the y-axis.
Quantitative Methods- Probabilities Problem. A country road averages 6 potholes per mile. A road crew is sent out to repair the road. Find the following probabilities. Use the appropriate table or software if you want.
A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on the wall if the rod is 45 cm from the wall and 15 cm from the light.
What do you find challenging about working with rational expressions? What strategies have you developed to overcome these challenges?
What should the outside dimensions be of this center for the construction cost to be minimum as possible?
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