Question

The function AequalsUpper A 0e Superscript negative 0.01386 x models the amount in pounds of a particular radioactive material stored in a concrete​ vault, where x is the number of years since the material was put into the vault. If 700 pounds of the material are initially put into the​ vault, how many pounds will be left after 60 ​years? Round to nearest whole number.

Answer 1

305 pounds

Explanation:

-This is an exponential function given as:

`A=A_oe^(0.01386x)`

#Where
`A_o,\ A` is the initial and final quantities after time x.

#We substitute the given values to solve for A after 60 yrs:

`A=A_oe^(-0.01386x)\\\\=700e^(-0.01386* 60)\\\\=304.7465157\approx 305`

Hence, the amount after 60yrs is 305 pounds