John takes a 4-year loan that has 48 end-of-the-month payments of K subject to the nominal annual interest rate of 12% compounded monthly. He uses the loan amount to purchase a $1,000 par value 8 year bond, yielding an annual nominal rate of 8% compounded semi-annually, and paying semi-annual coupons at a nominal annual rate of 6%. Find K.

John takes a 4-year loan that has 48 end-of-the-month payments of K subject to the nominal annual interest rate of 12% compounded monthly. H...
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Let A = {3, 4, 5, 6}, B = {1,2,5,7,8,10,11} and C = {2,4,5,6, 11), U is the set of Natural Numbers. Do the following: A. A ∩ B ∩C. B. (AUB) ∩ C C. (A-C) U B

Let A = {3, 4, 5, 6}, B = {1,2,5,7,8,10,11} and C = {2,4,5,6, 11), U is the set of Natural Numbers. Do the following: A. A  ∩  B  ∩ C.  B. (...
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Construct a sinusoidal function with the provided information, and then solve the equation for the requested values.

Construct a sinusoidal function with the provided information, and then solve the equation for the requested values. During a 90 -day monsoo...
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Suppose a particle moves along the x-axis beginning at x= 1. It moves one integer step to the left with probability 1/2,

Suppose a particle moves along the x-axis beginning at x= 1. It moves one integer step to the left with probability 1/2, or one integer step...
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Just before midday the body of an apparent homicide victim is found in a room that is kept at a constant temperature of 70°F.

Just before midday the body of an apparent homicide victim is found in a room that is kept at a constant temperature of 70°F. At noon, the t...
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A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from equilibrium position with a downward velocity 2 ft/s.

A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from equilibrium position...
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Suppose Canadian home-owners owe an average of $200,000 on their mortgages. Assume that mortgage debt is normally distributed in Canada with a standard deviation of $92,000.

Suppose Canadian home-owners owe an average of $200,000 on their mortgages. Assume that mortgage debt is normally distributed in Canada with...
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Show that this congruence is solvable. x^8 ≡ 16 (mod p)

Show that this congruence is solvable. x^8  ≡  16 (mod p) Solution:
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G1=+1%, G2=+4%; A ditch is running in positive stationing of +2.5% starting at the PC

G1=+1%, G2=+4%; A ditch is running in positive stationing of +2.5% starting at the PC. In terms of what % of curve length (PC to critical po...
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Differentiate this implicit function 2x4+7x3+8y2=136

Differentiate this implicit function 2x4+7x3+8y2=136 Solution:
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Is the following true or false? (a) ∀x∃y.P (x, y) ≡∀y∃x.P (x, y).

Is the following true or false? (a) ∀x∃y.P (x, y) ≡∀y∃x.P (x, y). (b) ∀x(P (x) ∨Q(x)) ≡∀x(Q(x) ∨P (x)). (c) ∃x.(P (x) ∧Q(x)) ≡(∃x.P (x)) ∧(∃...
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A one-year spot rate is 3%. A two-year $100 bond maturing at par with 6% annual coupons is currently selling for its par value. Determine the two-year spot rate.

A one-year spot rate is 3%. A two-year $100 bond maturing at par with 6% annual coupons is currently selling for its par value. Determine th...
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A 1 kg mass is hanging on the end of a spring at equilibrium.

A 1 kg mass is hanging on the end of a spring at equilibrium. A force of 14 N is used to stretch the spring an additional length of 2 m beyo...
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Compute the product. Show your work and do not round.

Compute the product. Show your work and do not round.        Solution:
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A family-run inn has 50 rooms. The inn is considering the use of overbooking, because the frequency of no-shows has left many rooms vacant during the past summer season.

A family-run inn has 50 rooms. The inn is considering the use of overbooking, because the frequency of no-shows has left many rooms vacant d...
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Consider the compound rv S with primary distribution N and secondary distribution M.

Consider the compound rv S with primary distribution N and secondary distribution M. The primary distribution N is a zero-truncated negative...
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