# Please answer the following questions using exponential and logarithmic models. 4) A wooden artif...

###### Question:

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 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 day

6) A doctor prescribes 100 milligrams of a therapeutic drug that decays by about 20% each hour. To the nearest hour, what is the half-life of the drug?

7) A tumor is injected with 0.4 grams of Iodine-125, which has a decay rate of 1.15% per day. To the nearest day, how long will it take for half of the Iodine-125 to decay? How many Days?

8) A tumor is injected with 0.4 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the number of grams f of Iodine-125 remaining in the tumor after t days.

f(t)=?

Then use the formula to find the amount of Iodine-125 that would remain in the tumor after 30 days. (Round your answer to four decimal places.) In grams

9) The half-life of Erbium-171 is 7.5 hours. What is the hourly decay rate? Express the result to four decimal places.

Express the hourly decay rate as a percentage to two decimal places. In percent %

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