A radioactive isotope known as Algeberium has a half-life of 25 days. The amount of Algeberium 4(1) in mg, at time t in days, can be modelled by the function A(1) = 320 (4) 3 . Algebraically determine how long it would take for the amount remaining to decrease to 20 mg. (A) 1= 4 (B) t=29 (C) t= 75 (D) t=100 B

The number of bacteria in a culture is given by the functionn(t)=920e0.4t◂=▸n⁡(t)=920⁢◂◽˙▸e0.4⁢twhere tt is measured in hours.(a) What is the relative rate of growth of this bacterium population?Your answer is    percent(b) What is the initial population of the culture (at t=0)?Your answer is   (c) How many bacteria will the culture contain at time t=5?Your answer is

Find the half-life of radioactive substance Plutonium-241; A(t) = A0e-0.053t

Strontium 90 (Sr-90), a radioactive isotope of strontium, is present in the fallout resulting from nuclear explosions. It is especially hazardous to animal life, including humans, because, upon ingestion of contaminated food, it is absorbed into the bone structure. Its half-life is 27 years. Find the function Q(t)that expresses the amount of Sr-90 present at time t, where Q0is the amount present initially and t is measured in years.   Q(t) =        If the amount of Sr-90 in a certain area is found to be 16 times the "safe" level, find how much time (in years) must elapse before the safe level is reached.         Olivia plans to secure a 5-year balloon mortgage of $250,000 toward the purchase of a condominium. Her monthly payment for the 5 years is calculated on the basis of a 30-year conventional mortgage at the rate of 5%/year compounded monthly. At the end of the 5 years, Olivia is required to pay the balance owed (the "balloon" payment). What will be her monthly payment for…