could you answer it professionally, i need full answers please

Checklist to consider when completing this culminating activity. Answer every question thoroughly. . Show all your steps . Use demos or any familiar software program. Label your graphs accurately Determine the age of the specimen that has 40% Carbon -14 remaining . Explain your thinking clearly. Dr. W.F Libby developed a method for determining the age of any natural specimen, up to 100 000 years of age. His method is based on the fact that all living organisms contain traces of carbon-14 that remains when a specimen is located. Dinosaur fossils pinterest.comfor determining the age of any natural specimen, up to 100 000 years of age. His method is based on the fact that all living organisms contain traces of carbon-14 that remains when a specimen is located. Dinosaur fossils pinterest.com The per cent of carbon-14 that remains in a living organism after thousands of years is shown in the table below years 5 730 11 460 17 190 22 920 28 650 34 380 Carbon-14 50.0 25.0 12.5 6.25 3.125 1.5625 remaining (%)1. How can you use the function C(t) = 100(}) 5730 to model this situation and determine the age of a natural specimen? Make sure to identify parameters for the given function. 12 2. What percentage of Carbon is remaining for t=0?, using the given table of values? /1 3. What is the appropriate domain for C(t)? /13. What is the appropriate domain for C(t)? /1 4. What is the appropriate range for C(t)? /1 5. Determine the approximate age of the following natural specimens. Show all your work 13 C(t) = 605. Calculate the inverse function of EU). Provided sketch of the graphs of CH) and 6'1\") using Desmos or any Software program. Make sure to label your graphs accurately [Graphs must be done in the same KY axis} f4 [Paste your graphs on the space provided] T. What information does the inverse function provide? f1 8. What is the appropriate domain for C" 1U)? f1 9. What is the appropriate range for C" 1U)? :1