The radioactive substance uranium-240 has a half-life of 14 hours. The amount A (t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function. 14 A (t) = 1500| Find the initial amount in the sample and the amount remaining after 30 hours. Round your answers to the nearest gram as necessary.

The radioactive substance uranium-240 has a half-life of 14 hours. The amount A (t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function. 14 A (t) = 1500| Find the initial amount in the sample and the amount remaining after 30 hours. Round your answers to the nearest gram as necessary.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 55RE: For the following exercises, use this scenario: A doctor prescribes 300 milligrams of a therapeutic...

See similar textbooks

Similar questions

In the following exercises, use an exponential model to solve. 120. A biologist is observing the growth pattern of a virus. She starts with 50 of the virus that grows at a rate of 20% per hour. She will check on the virus in 24 hours. How many viruses will she find?
In the following exercises, use an exponential model to solve. 119. A researcher at the Center for Disease Control and Prevention is studying the growth of a bacteria. He starts his experiment with 100 of the bacteria that grows at a rate of 6% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours?
Use a graphing calculator to find the exponential equation that includes the points (3,75.98) and (6,481.07).
For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the amount of Iodine-125 remaining in the tumor after t days. Then use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days. Round to the nearest tenth of a gram.
For the following exercises, use this scenario: A doctor prescribes 125 milligrams of a therapeutic drug that decays by about 30% each hour. Write an exponential model representing the amount of the drug remaining in the patient’s system after t hours. Then use the formula to find the amount of the drug that would remain in the patient’s system after 3 hours. Round to the nearest milligram.
For the following exercises, identify whether the statement represents an exponential function. Explain. A population of bacteria decreases by a factor of 18 every 24 hours.
In the following exercises, use an exponential model to solve. 117. Rochelle deposits $5,000 in an IRA. What will be the value of her investment in 25 years if the investment is earning 8% per year and is compounded continuously?
In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places. A certain beetle population can double in 3 months (A=2A0). How long will it take for that beetle population to triple?
For the following exercises, use this scenario: A doctor prescribes 300 milligrams of a therapeutic drug that decays by about 17 each hour. Write an exponential model representing the amount of the drug remaining in the patient's system after t hours. Then use the formula to find the amount of the drug that would remain in the patient's system after 24 hours. Round to the nearest hundredth of a gram.
Find an equation for the exponential function graphed in Figure 6.
The average percent defective product of a manufacturing plant is 1.20%. On a particular day 50 pieces were rejected out of a total daily production of 2730 pieces. What is the percent increase of defective pieces for the day above the average percent defective? Round the answer to 2 decimal places.
For the following exercises, use this scenario: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 32 grams. Rounding to five significant digits, write an exponential equation representing this situation. To the nearest minute, what is the half-life of this substance?