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10. (20pes) A person drinks a cup of coffiee with 120 mg of caffeins. Each hs...
% of the amount of caffeine in the body is metabolize A typical cup of coffee contains mg of caff...
% of the amount of caffeine in the body is metabolize A typical cup of coffee contains mg of caffeine and every hour approximately and eliminate (a) Write C, the amount of caffeine in the body in mg as a function of time t, the number of hours since the coffee was consumed 2 Edit mg (b) How much caffeine is in the body after t = 10 hours assuming no other source of caffeine? Round your answer to two...
9. [-14 Points] DETAILS SPRECALC7 4.6.017. This exercise uses the radioactive decay model. The half-life of...
9. [-14 Points] DETAILS SPRECALC7 4.6.017. This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 28-mg sample. (a) Find a function m(t) = moz-th that models the mass remaining after t years. m(t) = (b) Find a function m(t) = moet that models the mass remaining after t years. (Round your value to six decimal places.) m(L) = (c) How much of the sample will remain after 2500 years? (Round your...
According to a study, a cup of coffee contains an average of 116 milligrams (mg) of...
According to a study, a cup of coffee contains an average of 116 milligrams (mg) of caffeine, with the amount per cup ranging from 64 to 192 mg Suppose you want to repeat the experiment in order to obtain an estimate of the mean caffeine content in a cup of coffee correct to within 6 mg with 95% confidence. How many cups of coffee would have to be included in your sample? The experiment must sample cups of coffee in...
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population,...
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a.b' where P = If 24500 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent. (a) Annual: $...
PHOTO NUMBER TWO IS EXAMPLE OF HOW THEY WANT THE ANSWER COMPLETED O EXPONENTIAL AND Writing...
PHOTO NUMBER TWO IS EXAMPLE OF HOW THEY WANT THE ANSWER
COMPLETED
O EXPONENTIAL AND Writing and evaluating a function modeling continuous... A sample of a radioactive substance has an initial mass of 293.8 mg. This substance follows a continuous exponential decay model and has a half-life of 19 minutes. DO Din x $ ? (a) Lett be the time (in minutes) since the start of the experiment, and let y be the amount of the substance at time t....
high miss wuestion for part A. i included an example of how it should look EXPONENTIAL...
high miss wuestion for part A. i included an example of how it
should look
EXPONENTIAL AND LOGARITHMIC FUNCTIONS Writing and evaluating a function modeling continuous... The number of bacteria in a culture decreases according to a continuous exponential decay model. The initial population in a study is 400 bacteria, and there are 260 bacteria left after 5 minutes. Olin (a) Lett be the time (in minutes) since the beginning of the study, and let y be the number of...
18. The exponential function fx)-25,000()5i is a model for the population of a community x years...
18. The exponential function fx)-25,000()5i is a model for the population of a community x years after 1990. Predict the population for 2030. Round to the nearest whole number. 19. Use A-P(1 +r to find the amount accrued if $15,000 is invested for one year at 4% compounded quarterly. Round to the nearest cent. 20. A substance undergoes radioactive decay at a rate of 0.7% per day. For a mass of 1 kilogram of the substance, the formula y (2.7)...
Please answer the following questions using exponential and logarithmic models. 4) A wooden artif...
Please answer the following questions using exponential and logarithmic models. 4) A wooden artifact from an archaeological dig contains 70 percent of the Carbon-14 that is present in living trees. To the nearest year, about how many years old is the artifact? (The half-life of Carbon-14 is 5730 years.) In years 5) 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...
Problem 10. (1 point) Adoctor prescr bes 250 mg or a drug The amount ot the...
Problem 10. (1 point) Adoctor prescr bes 250 mg or a drug The amount ot the drugîntre patents body decaysby4 % every hour Part 1 Write an exponental model for the A(t). the amount of the drug in the patients system ater t hours have passed help (formulas) Part 2 Use your tormula to find the amount of the drug remaining after 3 hours have passed Round your answer to the nearest tenth. mg help (numbers) Part 3 What is...
A sample of bacteria is growing at an hourly rate of 15% according to the exponential...
A sample of bacteria is growing at an hourly rate of 15% according to the exponential growth function. The sample began with 11 bacteria. How many bacteria will be in the sample after 21 hours? Round your answer down to the nearest whole number. Provide your answer below: bacteria
% of the amount of caffeine in the body is metabolize A typical cup of coffee contains mg of caffeine and every hour approximately and eliminate (a) Write C, the amount of caffeine in the body in mg as a function of time t, the number of hours since the coffee was consumed 2 Edit mg (b) How much caffeine is in the body after t = 10 hours assuming no other source of caffeine? Round your answer to two...
9. [-14 Points] DETAILS SPRECALC7 4.6.017. This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 28-mg sample. (a) Find a function m(t) = moz-th that models the mass remaining after t years. m(t) = (b) Find a function m(t) = moet that models the mass remaining after t years. (Round your value to six decimal places.) m(L) = (c) How much of the sample will remain after 2500 years? (Round your...
According to a study, a cup of coffee contains an average of 116 milligrams (mg) of caffeine, with the amount per cup ranging from 64 to 192 mg Suppose you want to repeat the experiment in order to obtain an estimate of the mean caffeine content in a cup of coffee correct to within 6 mg with 95% confidence. How many cups of coffee would have to be included in your sample? The experiment must sample cups of coffee in...
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a.b' where P = If 24500 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent. (a) Annual: $...
PHOTO NUMBER TWO IS EXAMPLE OF HOW THEY WANT THE ANSWER
COMPLETED
O EXPONENTIAL AND Writing and evaluating a function modeling continuous... A sample of a radioactive substance has an initial mass of 293.8 mg. This substance follows a continuous exponential decay model and has a half-life of 19 minutes. DO Din x $ ? (a) Lett be the time (in minutes) since the start of the experiment, and let y be the amount of the substance at time t....
high miss wuestion for part A. i included an example of how it
should look
EXPONENTIAL AND LOGARITHMIC FUNCTIONS Writing and evaluating a function modeling continuous... The number of bacteria in a culture decreases according to a continuous exponential decay model. The initial population in a study is 400 bacteria, and there are 260 bacteria left after 5 minutes. Olin (a) Lett be the time (in minutes) since the beginning of the study, and let y be the number of...
18. The exponential function fx)-25,000()5i is a model for the population of a community x years after 1990. Predict the population for 2030. Round to the nearest whole number. 19. Use A-P(1 +r to find the amount accrued if $15,000 is invested for one year at 4% compounded quarterly. Round to the nearest cent. 20. A substance undergoes radioactive decay at a rate of 0.7% per day. For a mass of 1 kilogram of the substance, the formula y (2.7)...
Problem 10. (1 point) Adoctor prescr bes 250 mg or a drug The amount ot the drugîntre patents body decaysby4 % every hour Part 1 Write an exponental model for the A(t). the amount of the drug in the patients system ater t hours have passed help (formulas) Part 2 Use your tormula to find the amount of the drug remaining after 3 hours have passed Round your answer to the nearest tenth. mg help (numbers) Part 3 What is...
A sample of bacteria is growing at an hourly rate of 15% according to the exponential growth function. The sample began with 11 bacteria. How many bacteria will be in the sample after 21 hours? Round your answer down to the nearest whole number. Provide your answer below: bacteria
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