Questions
Questions

ST-MATH-0824-750-49498-202503 Q3 Linear & Exp Modeling

Short answer

The current annual production of a mine is 7,000 kilograms, and the production decreases by 9% per year. Estimate the production of the mine in 22 years using the exponential model. Round to the nearest WHOLE number and then enter numeric values without units and symbols. Example: If the answer is 1,200 kilograms, enter 1200 as your answer.

View Explanation

View Explanation

Verified Answer
Please login to view
Step-by-Step Analysis
The question asks for the mine's production in 22 years using an exponential decay model. Start with the initial production P0 = 7000 kg and a yearly decrease of 9%, which means the annual factor is 1 - 0.09 = 0.91. The exponential model for after ......Login to view full explanation

Log in for full answers

We've collected over 50,000 authentic exam questions and detailed explanations from around the globe. Log in now and get instant access to the answers!

Similar Questions

Question at position 16 Initially, three are 50 milligrams of a radioactive substance. The substance decays according to the equation N = 50e-0.01t, where N is the number of milligrams present after t hours. The number of hours it takes for 10 milligrams to remain is−ln⁡(0.01)5-\frac{\ln\left(0.01\right)}{5}50e−0.150e^{-0.1}−ln⁡(15)0.01-\frac{\ln\left(\frac{1}{5}\right)}{0.01}−15ln⁡(−0.01)-\frac{\frac{1}{5}}{\ln\left(-0.01\right)}−15ln⁡(0.01)-\frac{\frac{1}{5}}{\ln\left(0.01\right)}

Lisa has a headache and takes some acetaminophen (perhaps Tylenol) at time 𝑡 = 0 . The amount 𝐴 (in mg) left in Lisa's body at time 𝑡 (in hours) can be modeled by: 𝐴 ( 𝑡 ) = 500 𝑒 𝑡 ln ⁡ 0.8     a) What was the amount of acetaminophen Lisa took at time 𝑡 = 0 ?  [ Select ] 0.8 mg 625 mg 400 mg 500 mg 800 mg b) How many mg is left in Lisa's body after 4 hours? Use a calculator and round to 1 decimal place if needed.  [ Select ] 190.5 mg 500 mg 368.4 mg 400 mg 204.8 mg c) At what time is only 100 mg left in Lisa's body? Use a calculator and round to 1 decimal place if needed. (Answer in hours. Do NOT convert to minutes.) [ Select ] After 7.1 hours After 6.5 hours After 8.1 hours After 6.3 hours After 7.2 hours

A radioactive isotope has a half-life of 8 years. If you start with a 160-gram sample, how much of the substance will remain after 24 years?

Find how much substance you will have after 10 hours of a substance that began with 30 grams and has an 8 hour half-life. Round to the nearest hundredth. Use the half-life equation.

More Practical Tools for Students Powered by AI Study Helper

Join us and instantly unlock extensive past papers & exclusive solutions to get a head start on your studies!