Time of the Fourth Ice Age Many scientists believe there have been four ice ages in the past 1 million years. Before the technique of carbon dating was known, geologists erroneously believed that the retreat of the Fourth Ice Age began about 25 , 000 years ago. In 1950 , logs from ancient spruce trees were found under glacial debris near Two Creeks, Wisconsin. Geologists determined that these trees had been crushed by the advance of ice during the Fourth Ice Aga Wood from the spruce trees contained 27 % of the level of C 14 found in living trees. Approximately how long ago did the Fourth Ice Age actually occur?
Time of the Fourth Ice Age Many scientists believe there have been four ice ages in the past 1 million years. Before the technique of carbon dating was known, geologists erroneously believed that the retreat of the Fourth Ice Age began about 25 , 000 years ago. In 1950 , logs from ancient spruce trees were found under glacial debris near Two Creeks, Wisconsin. Geologists determined that these trees had been crushed by the advance of ice during the Fourth Ice Aga Wood from the spruce trees contained 27 % of the level of C 14 found in living trees. Approximately how long ago did the Fourth Ice Age actually occur?
Solution Summary: The author explains that the fourth ice age occurred approximately 10,911 years ago.
Time of the Fourth Ice Age Many scientists believe there have been four ice ages in the past
1
million years. Before the technique of carbon dating was known, geologists erroneously believed that the retreat of the Fourth Ice Age began about
25
,
000
years ago. In
1950
, logs from ancient spruce trees were found under glacial debris near Two Creeks, Wisconsin. Geologists determined that these trees had been crushed by the advance of ice during the Fourth Ice Aga Wood from the spruce trees contained
27
%
of the level of
C
14
found in living trees. Approximately how long ago did the Fourth Ice Age actually occur?
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and
use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three
investment?
STEP 1: The formula for compound interest is
A =
nt
= P(1 + − − ) n²,
where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to
A = Pert
Find r and n for each model, and use these values to write A in terms of t for each case.
Annual Model
r=0.10
A = Y(t) = 1150 (1.10)*
n = 1
Quarterly Model
r = 0.10
n = 4
A = Q(t) = 1150(1.025) 4t
Continuous Model
r=0.10
A = C(t) =…
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