Solving Exponential Word Problems

For a period of time, an island's population grows exponentially. If the continuous growth rate is 3% per year and the current population is 1,992, in how many years will the population reach 2,385? Round answer to the nearest integer.

A cup of hot coffee is placed outside where the temperature is 0 °C. Assume the coffee cools to approach the outside temperature according to an exponential decay model. If the continuous rate of cooling is determined to be 4% per minute and the current temperature of the coffee is 54.8 °C, in how many minutes will the coffee cool to 44.9 °C? Round answer to the nearest integer.

You borrow $15,000 at 29.9% APR and its compounded monthly. How much would you owe in 2 years if no payments were made? Round to two decimal places.

A savings account balance is compounded continuously. If the interest rate is 2% per year and the current balance is $1,758.00, what will the balance be 8 years from now? Round to two decimal places.

Radioactive isotope Berkelium-247 decays exponentially. If the continuous decay rate is 50% per thousand years and the current mass is 741.40 ounces, what will the mass be 5 thousand years from now? Round to two decimal places.

For a period of time, E. coli bacteria in a culture grows exponentially. If the continuous growth rate is 3% per minute and the current population is 136.0 million, in how many minutes will the population reach 183.6 million? Round answer to the nearest integer.

Radioactive isotope Molybdenum-93 decays exponentially. If the continuous decay rate is 17% per thousand years and the current mass is 727.30 grams, in how many years will the mass diminish to 310.86 grams? Round answer to the nearest integer.

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

• 4 people.

• 22,972 people.

• 1,169,030 people.

• 1,188,311 people.

Derrick has $1,000 in a savings account that ears 15% interest, compounded monthly. To the nearest cent, how much will he have in 2 years?

• $5,350.25

• $1,322.50

• $1,025.16

• $1,347.35

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

• $9,004.07

• $2,2848.80

• $9,011.94

• $8,242.71