$(50$ Points$)$ Carbon $14$: Write a MATLAB program that reads the percentage of carbon$-14$

remaining in a sample, calculates the age of the sample from it$,$ and prints out the result with

proper units. The program must perform the following steps:

Prompt the use to enter the percentage of carbon$-14$ remaining in the sample.

Read the percentage.

Convert the percentage into a ratio $=\frac{\text{P}\text{e}\text{r}\text{c}\text{e}\text{n}\text{t}\text{a}\text{g}\text{e}}{100}$

Calculate the age of the sample in years using the equation Age$=\frac{-1}{}**ln($ratio$)$

Write out the result and stop.

Test the program using the following numbers:

$-$lambda $=0\mathrm{.}00012097$ for crabon $-14$

Assume percent of carbon$-14$ is $50\%$

The CRC Handbook of Chemistry and Physics states that the half$-$life of carbon$-14$ is $5,730$ years.

Does our program agrees with the reference book?