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Science Library Quiz

Natural logs and Euler's Number

Instructions: answer the questions, check them carefully, and when you are sure they are all right, press submit. The number of correct answers will be displayed.

Question 1: Which would earn more yield over one year: simple interest at 5% or compound interest at 5%?




Question 2: Which would earn more yield over two years: simple interest at 5% or compound interest at 5%?




Question 3: A man invests €100 for ten years at 10% simple interest. What is his final amount?




Question 4: A man invests €100 for ten years at 10% compound interest. What is his final amount?




Question 5: A man has €200 to invest. He can put it at 10% simple interest for 5 years. If he put it at 10% compound interest for the same period, how much more or less yield would he earn?





Question 6: Which of the following is equal to $5^{-6}$ + $5^{-5}$?




Question 7: What is $512^{(9^{-1})}$?





Question 8: What is equal to $1/2$:






Question 9: What is 11 (base ten) in binary code (base 2)?




Question 10: There are 64 squares on a chessboard. If you place 1 rice grain on the first square, 2 on the second, 4 on the third, etc., how many rice grains will be on the 64th square?




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Question: The speed of a satellite in a circular orbit, radius 10,000 km, around the Earth, is $6.3 ⋅ 10^3 m s^{-1}$. What is the acceleration of freefall at any point in this orbit, in $m s^{-2}$?




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