Problem 1: a. A patient has 150 milligrams of aspirin in her bloodstream. If the amount of aspirin in her bloodstream decays exponentially, with one third being removed every 3 hours, find the amount A(t) of aspirin remaining in the bloodstream after/ hours. A) A(1) =150 B) A(1) = 150 C) A(1) =150 - D) A(1) = 150 Water that ie initially contaminated wit fo milligrame of nollutant concentrat

The table shows the age-adjusted death rates per 100,000 citizens for heart disease in a certain country. Complete parts (a) and (b) below. (a) Find an exponential model of the form f(t)=yob' for these data, where t=0 corresponds to the year 2000.Use the first and last data points to find a function. 1(t)=¹ (Round to two decimal places as needed.) (b) Assuming the model remains accurate, estimate the death rate in 2019 and 2024. The death rate in 2019 will be (Round to one decimal place as needed.) people per 100,000 The death rate in 2024 will be (Round to one decimal place as needed.) people per 100,000. Year 2000 2002 2004 2006 2008 2010 2012 2014 Death Rate 257.4 239.4 215.0 211.9 185.6 178.9 171.8 166.0

21. Suppose the number of users for a new social media app increases according to y = Yoe0.1t where y is measured in millions and t is measured in weeks. How long will it take for the number of users to triple? (a) In(30) weeks (b) 10 In(3) weeks (c) 10 In(3yo) weeks (d) 0.1 In(3) weeks (e) 3 In(1.1) weeks

6. The initial population of a town was 12000. After 5 years the population increased to 38000 people. /6a 1c a) Express the population growth as an exponential function of time (in years) in the form A = Aoekt.