Evaluate the integral.   (Give your answer in exact form.)

A.  - 
B.  - 
C.  - 
D.


Answer: A

Mathematics

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Solve the problem.Suppose you purchase a five-year bond with an APR of 3.78%. The face value of the bond is $8917.50. Find the purchase price of the bond.

A. $7431.25 B. $8917.50 C. $7509.47 D. $7440.86 E. $7500

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Find the product of the complex number and its conjugate.i

A. -1 B. i C. 1 D. -i

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Translate the phrase to an algebraic expression.Seven times a number, added to 5

A. 7(x + 5) B. 7 ? 5 + x C. 7x D. 7x + 5

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Solve the problem.In the formula A(t) = A0ekt, A(t) is the amount of radioactive material remaining from an initial amount A0 at a given time t and k is a negative constant determined by the nature of the material. An artifact is discovered at a certain site. If it has 51% of the carbon-14 it originally contained, what is the approximate age of the artifact, rounded to the nearest year? (carbon-14 decays at the rate of 0.0125% annually.)

A. 4080 yr B. 3920 yr C. 2339 yr D. 5387 yr

Mathematics