12. Estimating the Age of a Fossil A fossilized leaf contains 70% of its normal amount of carbon-14. How old is the fossil? Use 5730 years as the half-life of carbon-14.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.1: Exponential Functions
Problem 37E
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I need help with number 12
7.
wood
ge of
has a
that
here
sent
8. Population Decline The population of a midwestern city
follows the exponential law.
(a) If N is the population of the city and is the time in years.
N as a function of t.
express
(b) If the population decreased from 900,000 to 800,000
from 2005 to 2007, what was the population in
2009?
9. Radioactive Decay The half-life of radium is 1690 years.
If 10 grams is present now, how much will be present in
50 years?
10. Radioactive Decay The half-life of radioactive potassium is
1.3 billion years. If 10 grams is present now, how much will be
present in 100 years? In 1000 years?
will
11. Estimating the Age of a Tree A piece of charcoal is found
to contain 30% of the carbon-14 that it originally had. When
did the tree from which the charcoal came die? Use 5730
years as the half-life of carbon-14.
12. Estimating the Age of a Fossil A fossilized leaf contains 70%
of its normal amount of carbon-14. How old is the fossil? Use
5730 years as the half-life of carbon-14.
13. Cooling Time of a Pizza A pizza baked at 450°F is removed
from the oven at 5:00 PM and placed in a room that is a
constant 70°F. After 5 minutes, the pizza is at 300°F.
(a) At what time can you begin eating the pizza if you want
its temperature to be 135°F?
(b) Determine the time that needs to elapse before the
pizza is 160°F.
(c) What do you notice about the temperature as time
passes?
the stein has
stein be after
to reach a t
Problem 15.
17. Decomposit
conditions,
in a swimm
uninhibited
water and
per million
water agai
2.2 ppm. W
hours)? W
shock the
shock the
18. Decomp-
pentoxid
and oxy
An initi
decomp
dinitros
long wi
remain
19. Decom
solutic
glucos
the la
of su
much
take
20. Dece
wate
to th
25 1
how
1
k
2
21. Ra
rac
pc
A
it
re
h
Transcribed Image Text:7. wood ge of has a that here sent 8. Population Decline The population of a midwestern city follows the exponential law. (a) If N is the population of the city and is the time in years. N as a function of t. express (b) If the population decreased from 900,000 to 800,000 from 2005 to 2007, what was the population in 2009? 9. Radioactive Decay The half-life of radium is 1690 years. If 10 grams is present now, how much will be present in 50 years? 10. Radioactive Decay The half-life of radioactive potassium is 1.3 billion years. If 10 grams is present now, how much will be present in 100 years? In 1000 years? will 11. Estimating the Age of a Tree A piece of charcoal is found to contain 30% of the carbon-14 that it originally had. When did the tree from which the charcoal came die? Use 5730 years as the half-life of carbon-14. 12. Estimating the Age of a Fossil A fossilized leaf contains 70% of its normal amount of carbon-14. How old is the fossil? Use 5730 years as the half-life of carbon-14. 13. Cooling Time of a Pizza A pizza baked at 450°F is removed from the oven at 5:00 PM and placed in a room that is a constant 70°F. After 5 minutes, the pizza is at 300°F. (a) At what time can you begin eating the pizza if you want its temperature to be 135°F? (b) Determine the time that needs to elapse before the pizza is 160°F. (c) What do you notice about the temperature as time passes? the stein has stein be after to reach a t Problem 15. 17. Decomposit conditions, in a swimm uninhibited water and per million water agai 2.2 ppm. W hours)? W shock the shock the 18. Decomp- pentoxid and oxy An initi decomp dinitros long wi remain 19. Decom solutic glucos the la of su much take 20. Dece wate to th 25 1 how 1 k 2 21. Ra rac pc A it re h
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