In Exercises 1-10, use P M T = P ( r n ) [ 1 − ( 1 + r n ) − n t ] to determine the regular payment amount, rounded to the nearest dollar. In terms of paying less in interest, which is more economical for a $150,000 mortgage: a 30-year fixed-rate at 8% or a 20-year fixed-rate at 705%? How much is saved in interest?
In Exercises 1-10, use P M T = P ( r n ) [ 1 − ( 1 + r n ) − n t ] to determine the regular payment amount, rounded to the nearest dollar. In terms of paying less in interest, which is more economical for a $150,000 mortgage: a 30-year fixed-rate at 8% or a 20-year fixed-rate at 705%? How much is saved in interest?
Solution Summary: The author calculates the monthly payment value for the 150,000 mortgage by substituting the values in the loan payment formula.
to determine the regular payment amount, rounded to the nearest dollar.
In terms of paying less in interest, which is more economical for a $150,000 mortgage: a 30-year fixed-rate at 8% or a 20-year fixed-rate at 705%? How much is saved in interest?
25. Show that if X is a random variable and g(.) is a Borel measurable function, then
Y = g(X) is a random variable.
24. A factory produces items from two machines: Machine A and Machine B. Machine
A produces 60% of the total items, while Machine B produces 40%. The probability
that an item produced by Machine A is defective is P(D|A)=0.03. The probability
that an item produced by Machine B is defective is P(D|B) = 0.05.
(a) What is the probability that a randomly selected product be defective, P(D)?
(b) If a randomly selected item from the production line is defective, calculate the
probability that it was produced by Machine A, P(A|D).
13. Let (, F, P) be a probability space and X a function from 2 to R. Explain when
X is a random variable.
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