notes_4c_-_word_problems

notes_4c_-_word_problems - IV Goal To use logs to solve...

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IV. Goal: To use logs to solve application problems (4.5) A. The population of Mathville is growing by 8% each year. If there were 12,000 people in 1990… a. Write an equation for the population as a function of years since 1990. b. How long until the population reaches 25,000? B. If a deposit of $1000 is made into an account earning 6% interest compounded monthly, how long until the account doubles? C. Suppose you invested $6000 with continuous compound interest and after 10 years, you had $20,000. What was your continuous interest rate? D. Ten grams of a new radioactive substance has been discovered by some USC nursing students. If it is decaying at a continuous rate of % 2 1 1 per year, what is its half – life?
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E. The half – life of Radium is 1590 years. How long until a sample shrinks to 30% of the original? F. A picture supposedly painted by the artist Vermeer (1632 – 1675) contains 99.5% of its carbon - 14 (which has a half – life of 5730 years). From this information decide if the picture is a fake. G. Newton’s law of cooling
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notes_4c_-_word_problems - IV Goal To use logs to solve...

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