Survey

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Survey

Document related concepts

no text concepts found

Transcript

Using Logarithms in Context 1) Determine which formula to use (exponential growth, exponential decay, compound interest, or continuously compounded interest) 2) Set up your equation using the information in the word problem. 3) Switch equation into logarithmic form in order to solve for the variable in the exponent! (Use desmos to evaluate logs!) Examples: 1) Exponential growth: A petri dish has 900,000 bacteria in it. Scientists know that it grows by 12% each minute. How many minutes will it take for the bacteria to double? 2) Exponential decay: A lumber company has 1,200,000 trees. They plan to harvest 7% of the trees each year. How many years will it take to harvest half of the trees? 3) Compound interest: Timmy wants a car that costs $14,000. He puts $9,056 into an account, which gets 5% interest compounded quarterly. How long will it take for Timmy to have enough money in the account to buy the car? 4) Continuously compounded interest: An account had an initial investment of $5,000 and has an interest rate of 9% compounded continuously. It now has 11,525. How long has it been? 6)__________________________ Groot wants to buy baby Yoda a birthday gift that costs $21,999. Groot puts $17,056 into an account, which gets 11% interest compounded twice a year. How long will it take for Groot to have enough money in the account to buy the gift??? 7) _____________________________ The virus that hit exponential island has reached the mainland. Scientists know that 12,500 people are currently infected. Based on past data, we know that the number of people who are infected increases by 7% each day! How many days will it take for the number of cases to triple? 5)____________________________ Dwightâ€™s beet farm has 135,000 beets. He plans to harvest 13% of the beets each year. How many years will it take him to harvest half of his beets? 8) _________________________________ An account had an initial investment of $1 and has an interest rate of 60% compounded continuously. It now has $10,000! How long has it been?