Use the compound interest formula to determine the final value of the given amount.$2760 at 6% compounded continuously for 11 years
A. $4762.08
B. $17,262.97
C. $5340.03
D. $675,349.73
Answer: C
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Factor and, if possible, simplify the expression.sec4 x - tan4 x
A. sec2 x - tan2 x B. 1 C. (sec2 x + tan2 x)2 D. sec2 x + tan2 x
Find the derivative of the function at the given point in the direction of A.
A = 3i - 4j
A. - 
B. - 
C. - 24
D. - 
Provide an appropriate response.Find the ratio of the area of a circumscribed circle of an equilateral triangle to the area of the inscribed circle. [Hint: The altitudes of an equilateral triangle intersect at the center of the inscribed circle. This point of intersection falls one third of the distance along each altitude moving from the base towards the opposite vertex.]
A. 
: 1
B. 
: 1
C. 2 : 1
D. 4 : 1
Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?
A. 0.35 B. 0.559 C. 0.224 D. 0.217