Exponential Growth and Decay Mastery Check

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A luxury yacht loses 12.5%of its value each year. What is the value of a $150,000 yacht after 6 years?

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What is the half life of an isotope whose sample began with 195 grams and after 10 days has been reduced to 183 grams?

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A invasive species of aquatic algae has been tracked in Texas lakes. 5 years ago a study found there it be 243 parts per unit with a current study showing there to be 371 parts per unit. What is the growth rate of this specific species of algae?

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A high-yield savings account has an interest rate of 4.35% compounded continuously. If the account had an initial deposit of $8,000, how long until the account has $12,500?

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A strain of E. coli doubles every 17 minutes. After 3 hours the sample contains 24,890 E. coli cells. How many cells were in the initial sample?

Angel put $15,000 into a high yield savings account with an annual interest rate of 4.35%. At the end of the term the account balance is $20,208.70. How long was the money saved?

Round your answer to the nearest year

A lamborghini loses 15.75% of its value each year. What is the value of a $250,000 car after 4 years?

A invasive species of aquatic algae has been tracked in Texas lakes. 5 years ago a study found there it be 243 parts per unit with a current study showing there to be 371 parts per unit. What is the growth rate of this specific species of algae?

Round answer to 2 decimal places

What is the value of "t" in the situation below?

A strain of E. coli doubles every 17 minutes. After 3 hours the sample contains 24,890 E. coli cells. How many cells were in the initial sample?

What is the value of "k" in the situation below?

A strain of E. coli doubles every 17 minutes. After 3 hours the sample contains 24,890 E. coli cells. How many cells were in the initial sample?