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An investor owns a $2;000 par-value 12% bond with semiannual coupons. The bound will mature at par at the end of fourteen years. The investor decides that a ten-year bond would be preferrable. Current yield rates are 6% convertible semiannually. The investor uses the proceeds from the sale of the 12% bond to purchase a 8% bond with semiannual coupons, maturing at par at the end of ten years. Find the face value of the 8% bond.
Give a recursive algorithm for computing n * a using only addition, where n is a positive integer and a is a real number. (add a to itself n times).
Part of $13,750 is invested at 9% annual interest, and the rest is invested at 8%. After one year, the accounts paid $1,160 in interest. How much was invested at the lower rate?
Prove the following theorem: If x y + for any > 0 then x y.
If A and U are two subsets of a normed vector space, and U is open, show that A+U is open. Here A+U={a+u | a belongs to A and u belongs to U}.
Calculate the line integral of F from P_0 at (1,0,0) to P_1 at (-1,0,0) along the direct line path joining these points. Calculate the line integral of F from P_0 at (1,0,0) to P_1 at (-1,0,0) along the horizontal semicircular path joining these poi..
Pauline takes a loan of S dollars at an interest rate of r percent per month, compounded monthly. She plans to repay the loan in T equal monthly installments of P dollars each.
Trigonometric identities to find length of the guy wire.
Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks: Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Use this information to construct a 98% confidence interval to estimate the mean number of pages for the population of medium-sized company policy books.
Let S a subset of R be compact. Prove that every infinite subset of S has an accumulation point in S
What are the probabilities of drawing a certain colour candy? Use the theoretical method to determine the probability of the given outcome or event.
Let R be the elliptical region in the first quadrant bounded by x^2/3^2 +y^2/2^2 =1. Use the change of variables, x =3u , y =2v , to evaluate the area of R .
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