Download Logarithmic Word Problems...oh yeah!!

Logarithmic Word Problems...oh yeah!!
1.You win $1.5 million in a lottery and invest it in a GIC that earns 5% per annum.
a) What is it worth after 4 years?
b) When will it double in value?
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2. Ben invests $3400 into a GIC which earns 2% compounded annually. How long before the investment is worth $4500?
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3. Your new car costs $23000 new and depreciates 30% annually. You want to trade it in when it reaches a value of $10,000. How long should you keep the car?
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4. A population of rabbits quadruples every 2 years. If the initial number of rabbits was 25, how long will it take for the population to reach 700?
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5. A radioactive isotope has a half life of 5 years. If there are presently 500 g
of the isotope, how many years will it take to decrease to 100 g?
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6. A deadly bacteria doubles in size every 3 hours. If there were initially 14 spores present, how long will it take for the number of bacteria to increase to
1799 spores?
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7. If a painting costs $45 and its value increases at the rate of 8% each year,
how many years will it take for its value to double?
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8. The initial concentration of bacteria in a Petri dish was 40 mg/mm2. If the population triples in size every 15 minutes, how long will it take for the population
to increase to 3000?
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9. Garrett has invested his money into a GIC that will allow his money to quadruple
every 7 years. If he initially invested $3200, how long will it take for his investment to be worth $60,000?
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10. Kenneth paid $16000 for a car which depreciates 30% per year. At the same time his friend Karen paid $8000 for a painting which will appreciate 3% annually.
When will their investments be equal?
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11. Steve deposits $750 into an account, he was told that his balance will
double every 8.5 years. His friend, Tamara deposits $500 into a separate
account. Her money will triple every 10 years. After a certain number of years
they will both have the same amount in their accounts. How many years will it take
for this to happen?
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