The amount of radio active material present at time t is given by A=Aoe*t, where Ao is the initial amount, k<0 is the rate of decay. Radioactive substances are more commonly described in terms of their half-life or the time required for half of the substance to decompose. Determine the half-life of substance X if after 600 years, a sample has decayed to 85% of its original mass.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Fib(n+1)
9. The ratio
as n gets larger is said to approach the Golden Ratio which is approximately equal to 1.618.
Fib(n)
Fib(n)
What happens to the inverse of this ratio,
-? What number does this quantity approach? How does
Fib(n+1)
this compare to the original ratio?
10. Consider Fib(3) = 2. What do you notice about every third Fibonacci number, i.e. Fib(6), Fib(9), Fib(12), ...?
Similarly, look at Fib(4) = 3, then check out every fourth Fibonacci number, i.e., Fib(18), Fib(12), Fib(16), ..
What seems to be the pattern behind these sequences generated from Fibonacci number?
11. A house is purchased for Php1,000,000 in 2002. The value of the house is given by the exponential growth
model A=1,000,000e0.645t. Find t when the house would be worth Php5,000,000.
12. The amount of radio active material present at time t is given by A=Aoekt, where Ao is the initial amount, k<0 is
the rate of decay. Radioactive substances are more commonly described in terms of their half-life or the time
required for half of the substance to decompose. Determine the half-life of substance X if after 600 years, a
sample has decayed to 85% of its original mass.
Transcribed Image Text:Fib(n+1) 9. The ratio as n gets larger is said to approach the Golden Ratio which is approximately equal to 1.618. Fib(n) Fib(n) What happens to the inverse of this ratio, -? What number does this quantity approach? How does Fib(n+1) this compare to the original ratio? 10. Consider Fib(3) = 2. What do you notice about every third Fibonacci number, i.e. Fib(6), Fib(9), Fib(12), ...? Similarly, look at Fib(4) = 3, then check out every fourth Fibonacci number, i.e., Fib(18), Fib(12), Fib(16), .. What seems to be the pattern behind these sequences generated from Fibonacci number? 11. A house is purchased for Php1,000,000 in 2002. The value of the house is given by the exponential growth model A=1,000,000e0.645t. Find t when the house would be worth Php5,000,000. 12. The amount of radio active material present at time t is given by A=Aoekt, where Ao is the initial amount, k<0 is the rate of decay. Radioactive substances are more commonly described in terms of their half-life or the time required for half of the substance to decompose. Determine the half-life of substance X if after 600 years, a sample has decayed to 85% of its original mass.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,