Strontium-90 is a radioactive material that decays according to the function A(t) = A0e-0.0244t , where A0 is the initial amount present and A is the amount present at time t (in years). Assume that a scientist has asample of 500 grams of strontium-90.(a) What is the decay rate of strontium-90?(b) Graph the function using a graphing utility.(c) How much strontium-90 is left after 10 years?(d) When will 400 grams of strontium-90 be left?(e) What is the half-life of strontium-90?

Q: The average cost of a year at a private four-year college grew exponentially from $21,855 in 2000 to…

A: "t" years later the cost function become C(t)=abt . Therefor,  abt=21,855 . After 10 years , in…

Q: The growth in the number (in millions) of Internet users in a certain country between 1990 and 2019…

A:

Q: Suppose a population grows according to the model P(t) = Po(1.092) where t is measured in years. (a)…

A:

Q: Cesium-137 has a half life of 30 years, create an equation F(t) to give the percentage of the…

A: Given, Half life= T= 30 years  Initial amount =P=100% Final amount= F(t)=? Time = t years

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.