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Two friends want to purchase a new house and can afford to make monthly payments of $1000.00. They go to the bank and obtain a mortgage for $195 000.00 compounded semi-annually and amortized over 25 years.
They wonder if it would be wise to find a less expensive house to reduce the amortization period to 20 years. What would be the maximum mortgage they could afford assuming that only the amortization period changes?
What dose maximizes the temperature change? DT (b) The sensitivity of the body, at dosage D, to the drug is defined to be . What dosage maximizes dD sensitivity?
Program a Monte Carlo model for options on Energy. It should be mean-reverting and include spikes. Give several alternative structures. How much would be issued in each tranche and what coupon would each tranche pay
A flagpole casts a shadow of 20 ft long. If a man 6ft tall casts a shadow 4.3 ft long at the same time, how tall is the flagpole?
a 6 ft vertical post casts a 10 in shadow at the same time a nearby cell phone tower casts a 115 ft shadow. How tall is the cellphone tower.
A regression analysis
What is the vertex of a parabola? How do you determine the vertex of the parabola? Demonstrate with an example.
You have a rectangular piece of cardboard that you want to fold into a box. It occurs to you that you can cut out an equal square from each corner of the rectangle, make a crease along each side and fold them up.
Show that the Schur complement S of A11 is invertible.
Prove that the sequence bn=(1+1/n)^(n+1) is a monotone decreasing sequence.
Provide an appropriate response. Histograms and Pareto charts are both bar charts. What is the significant difference between the two?
A faucet is filling a hemispherical basin of diameter 60 cm with water at a rate of 2 L/ min. Find the rate at which the water is rising in the basin when it is half full. [Use the following facts: 1 L is 1000 cm3.
Let R be a commutative ring. Recall that an element x in R is nilpotent if x^n=0 for some positive integer n. Prove that the set of nilpotent elements form an ideal.
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