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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.
Let K1 and K2 be finite extensions of F contained in the field K, and assume both are splitting fields over F. Prove that their composite K1K2 is splitting field over F.
Identify the vertex, intercepts and zeros of a function.
What is the probability of choosing a queen from a deck of 52 cards? What is the probability of the 2nd card being a queen if the first was a queen? (without replacement)
Suppose that you select 3 cards without replacement from an ordinary deck of playing cards. If the first card that you select is a spade and the second is a heart, what is the probability that the third card that you select is a spade?
Evaluate the combination or binomial function in the completion 48 factorial over 37 factorial. The answer should equal to 22595200368.
Find the derivative of the function by using quotient rule.
Important information about Probability and combinations. Assume you have five cards are chosen from a standard deck of 52 playings cards. How many hands contain four aces?
Fitting of simple linear regression
The lowest flying speed v (in ft/s) at which a certain airplane can fly varies directly as the square root of the wing load w (in lb per sq. ft). If V=88 ft/s when w= 16 lb/sq ft, find the derivative of v with respect to w.
Find the estimated regression equation
The current in a circuit is i = 2.00 cos 100t. Find the voltage across a 100-microfarad(uF) capacitor after 0.200 s, if the initial voltage is Zero (one microfarad(uF)=10 to the power of -6 F).
An open-topped cylindrical pot is to have volume 125in^3. What dimensions will minimize the total amount of material used in making this pot?
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