Question

A chemical substance has a decay rate of 745 per day. The rate of change of an amount of the chemical is given by the equation -0074N where is the number of days since decay began. Complete parts a) through c) a) Let No represent the amount of the chemical substance att. Find the exponential function that models the situation N) – Ng. b) Suppose that 400 g of the chemical substance is present att0 How much will remain after 5 days? After 5 days. I will remain (Round to the nearest whole number as needed) c) After how many days will half of the 400 g of the chemical substance remain? After days, half of the chemical substance will remain (Round to one decimal place as needed)

Answer 1

ab ennen: DN dt -0.014N AN & -0.074dt N integrate both side N-p-0.074t tc. Son Ar t=0, No No No a &c. - In No (1 so V N= N20.074tX N= No e be we have t=5 No = 400 Dubstitute the value in equation so Na 276.29. g. or N = 276 g. A -0.074 t & sp = 4 (D X có some this I t = 9.36 days. or It - 9. 9 days X One decimal Place.