Solve.The difference between a country's exports and imports is called the country's trade balance. If one country had a trade balance of -$98 billion in 1,995, $78 billion in 1,993, and -$27 billion in 1,994. What was the total trade balance for these years?
A. 203 billion dollars
B. -203 billion dollars
C. 47 billion dollars
D. -47 billion dollars
Answer: D
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Find the value of d2y/dx2 at the point defined by the given value of t.x = tan t, y = 7 sec t, t =
A. -
B. 7
C.
D. -
Divide numerator and denominator by the highest power of x in the denominator to find the limit.
A. 9 B. does not exist C. 81 D. 729
Factor when possible. If the polynomial is prime, say so.x2 + 4xy - 32y2
A. (x - 4y)(x + 8y) B. (x + 4y)(x + y) C. (x + 4y)(x + 8y) D. prime
Use counting rules to determine the probability.Determine the probability that in a class of 35 students, at least two students have the same birthday. Assume that there are always 365 days in a year and that birth rates are constant throughout the year. (Hint: First determine the probability that no two students have the same birthday and then apply the complementation rule.)
A. 0.814 B. 0.894 C. 0.854 D. 0.186