# MATH 120 UMD College Park Basic calculus Worksheet

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MATH120 Quiz 6 August 6, 2021 Carefully show all your work. Justify all the steps in your answer with a sentence. Answers should be exact and in simplest form unless stated otherwise. 1. (2 points) Let f (t) denote the amount of C14 present in an organism t years after its death. The half-life of C14 is 5730 years. Determine the exact decay constant λ (1 point) and the percentage (1 point) of C14 that should remain 500 years after the death of the organism. Round the percentage to the second decimal place. 2. Suppose that $2000 is deposited in a savings account that pays 3% per annum, compounded continuously. Suppose further no additional deposits or withdrawals are made. A. (1 point) At what rate will the compound amount be growing after 10 years? Round the answer to the second decimal place. B. (1 point) How long is required for t

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