Math 1051, Summer 2007, Worksheet 151. Solve the following equations for x:(a) 3−x= 81(b) 4x2=12(c) 2|x|= 2562. Using our compound interest formulas, compute the accumulated valuesin the following situations:(a) $5000 for 10 years at 5% compounded annually(b) $10000 for 25 years at 15% compounded monthly(c) $250 for 15 years at 9% compounded continuously3. The number of bacteria present in a sample after t hours is given by theequation Q = Q0∗ e.25t, where Q0represents the initial number of bacteria.If 5340 bacteria are present after 4 hours, how many bacteria were presentinitially?14. Strontium-90 has a half life of 29 years. If there are 1600 grams ofstrontium-90 initially, how much to the nearest gram will remain after 116years?5. Determine f−1and its domain in each of the following situations:(a) f(x) =√2x − 4, x ≥ 2(b) f(x) =34x −56(c) f(x) =1x−1, x 6=
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