A chemical substance has a decay rate of 745 per day. The rate of change of...
Review Constants Periodic a substance active times that the countable and will therefore decay by my name of processes the decay Del decay of the day of radioactive comm o der Therefore theme of daycan t orbed by the megrated w omen e n we used to describe the food chemical con In where the mo s t coloraty t he com by man of these quo ng 0. the world when contre long for fraction remaining - - (0.5)"...
A specific radioactive substance follows a continuous exponential decay mode. It has a half-life of 16 days. At the start of the experiment, 61.7 g is present. Din (a) Lett be the time (in days) since the start of the experiment, and let y be the amount of the substance at time. Write a formula relating y toi. Use exact expressions to fill in the missing parts of the formula Do not use approximations X ? (b) How much will...
A radioactive substance has a decay rate of 0.064 per minute. How many grams of a 150 gram sample will remain radioactive after 45 minutes? Round the answer to the nearest tenth of a gram, and do not include the unit in your answer. Sorry, that's incorrect. Try again? 147.1
please show answer before and after rounding Finding the rate or time in a word problem on continuous... The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of 9.1% per day. Find the half-life of this substance (that is, the time it takes for one-half the original amount in a given sample of this substance to decay). Note: This is a continuous exponential decay model. Do not round any intermediate computations, and...
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...
A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 36 grams. Write an exponential equation f(t) representing this situation. (Let f be the amount of radioactive substance in grams and t be the time in minutes.) f(t) 250e 0.0087t x To the nearest minute, what is the half-life of this substance? 89 min Use the model for continuous exponential decay, y = Ao e-kt, where y is the amount of radioactive...
ANSWER ALL PLEASE! Applications of Exponential Equations Many real-life situations can be modeled by an exponential growth function of the form A(t) Ao ett constant that affects the rate of growth or decay, and t represents time. Using your knowledge of writing exponential equations that you did in the beginning of this chapter, what would A or an exponential decay function of the form A(t)-A ett where k represents the represent? 1. The amount of carbon-14 present in animal bones...
Writing and evaluating a function modeling continuous... A specific radioactive substance follows a continuous exponential decay model. It has a half-life of 4 minutes. At the start of the experiment, 82.4 g is present 00 Din (a) Lett be the time (in minutes) since the start of the experiment, and let y be the amount of the substance at timer. Write a formula relating y tot Use exact expressions to fill in the missing parts of the formula Do not...
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)...
Lead-210 also has a radioactive decay rate. Its half-life is 22 years. What is k, its exact decay rate? k = _____ If we assume that we begin with an initial amount of 1000g of lead, write a function that approximately models the lead-210 at time, t, in years. Round k to 2 significant figures for the function. m(t) = _____ Fill in the t-values and answer the questions with function equations. Include units. Be exact. It might be easier...