Question

=O EXPONI NTIAL AND LOKARITHMIC FUNCTIONSEvaluating an exponential function that models a real-world...The radioactive substance uranium-240 has a half-life of 14 hours. The amount A (1) of a sarthe following exponential function.A(!)(*47001Find the amount of the sample remaining after 7 hours and after 60 hours.Round your answers to the nearest gram as necessary.Amount after 7 hours:gramsAmount after 60 hours:gramsX5?

Answer 1

We have the next function to find the solutions:

$A(7)=4700\cdot(\frac{1}{2})^{\frac{7}{14}}=3323.4019\approx3323gr$$A(60)=4700\cdot(\frac{1}{2})^{\frac{60}{14}}=240.9735\approx241gr$

Then, the amount after 7 hours is 3323 grams, and after 60 hours is 241 grams.