Solve the investment problem.Roberto invested some money at 7%, and then invested $3000 more than twice this amount at 12%. His total annual income from the two investments was $4700. How much was invested at 12%?
A. $31,000
B. $9000
C. $3100
D. $28,000
Answer: A
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Decide whether or not the events are mutually exclusive.Wearing a coat and wearing a sweater
A. No B. Yes
The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0.r(t) = sin-1(7t)i + ln(2t2 + 1)j + 
k
A. 
B. 
C. 
D. 0
Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?
A. 0.714 B. 0.222 C. 0.5 D. 0.2
Solve the problem.Find the difference between (6n6 - 4n3 - 5) and (-11n3 + 8n6 - 12).
A. -2n6 + 7n3 - 17 B. 12n9 C. -2n6 + 4n3 - 17 D. -2n6 + 7n3 + 7