Homework 3.4

1.  Of an initial amount of 6000g of​ lead-210, how much will remain in 160 ​years? Lead-210 decays at a rate of​ 3.15%/yr.

___ g.

2. The amount of​ carbon-14 present in animal bones after t years is given by ​P(t) =

. 

A bone has lost 15​% of its​ carbon-14. How old is the​ bone?

To the nearest​ year, what is the age of the​ bone? ______

3. An athlete signs a contract that guarantees a ​$9 ​-million salary 5 yr from now. Assuming that money can be invested at 5.9​% with interest compounded​ continuously, what is the present value of that​ year’s salary?

$ _______