a) Write an equation for $P(t)$, the percentage of carbon-14 remaining after $t$ years of radioactive decay.
$P(t) =$

b) What is the percent annual decay rate of carbon-14? Round to 4 decimal places.
percent

c) What is the continuous decay rate (as a percentage) of carbon-14? Round to 4 decimal places.
percent

d) In 2014, a tomb containing the alleged remains of Attila the Hun were discovered under the Danube river in Budapest, Hungary. At the time of discovery, tests showed that approximately 93$\%$ of the carbon-14 originally present in the body remained. If Attila died in 453 A.D., could these be the remains of Attila the Hun?

A. No, the remains can only have been decaying for about 600 years if they still have $93 \%$ of the original carbon-14.
B. Yes, the remains might have been left in Hungary around 600 AD
C. No, the remains can only have been decaying for about 1400 years if they still have $93 \%$ of the original carbon-14.
D. Yes, the remains were probably preserved well.

Hint: