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Five years ago, Diane secured a bank loan of $300,000 to help finance the purchase of a loft in the San Francisco Bay area. The term of the mortgage was 30 years, and the interest rate was 9%/year compounded monthly on the unpaid balance. Because the interest rate for a conventional 30-year home mortgage has now dropped to 7%/year compounded monthly, Diane is thinking of refinancing her property. (Round your answers to the nearest cent.)
(a) What is Diane's current monthly mortgage payment? What is Diane's current outstanding principal?
(b) If Diane decides to refinance her property by securing a 30-year home mortgage loan in the amount of the current outstanding principal at the prevailing interest rate of 7%/year compounded monthly, what will be her monthly mortgage payment?
(c) How much less will Diane's monthly mortgage payment be if she refinances?
Assume 450,000 people line up on the streets to see the Macy's Thanksgiving Parade in 2010. If attendance is expected to increase 30%, what will be the number of people lined up on the street to see the 2011 parade?
If an open box has a square base and a volume of 96 in. and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.
Chi square test
If you were given a large data set such as the sales over the last year of our top 1,000 customers, what might you be able to do with this data? What might be the benefits of describing the data?
Integral from zero to infinity of cos(x^2) dx = integral from zero to infinity of sin(x^2) dx = 1/2 * (square root of pi/2).
A person's fortune increases at a rate to the square of they're present wealth. If the person had one million dollars a year ago and has two million today then how much will the person be worth in six months?
A javelin is thrown in the air. It's height is given by h(x)= -1/20x^2+8x+6, where x is the horizontal distance in feet from the point at which the javelin is thrown.
Elena's daugther sold 84 boxes of girl scout cookies. She was told that this amount was 5% of the troops sales. How many boxes did the troop sell?
Let A be the area under the graph of an increasing continuous function f from a to b, and let Ln and Rn be the approximations to A with n subintervals using left and right endpoints, respectively.
A rope connects two poles that are 80 feet apart. The function .02x^2+15 models the height the rope is above the ground
Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment. Find the probability that exactly 3 boys will be selected.
Find the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity and inflection.
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