1. Solve for x: 32(1.05)' = 90

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
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Algebraic modeling course question.
17:16
l 92% i
Lab_3.9__3.10__6-10...
06/10
MATH 145
Lab 3.9
Group Members:
Your name:
1. Solve for x:
32(1.05) = 90
2. a. One type of Iodine disintegrates continuously at a constant rate of 8.6% per day.
Suppose the original amount, P, is 10 grams, and let t be measured in days.
Because the Iodine is decaying continuously at a constant rate, we use the model
P = Pe" for the decay equation, where k is the rate of continuous decay. Using
the given information, write the decay equation for this type of Iodine.
b. Use your equation to determine the half-life of this type of Iodine. That is, find
out how many days it will take for half of the original amount to be left. Show an
algebraic solution using logs.
Transcribed Image Text:17:16 l 92% i Lab_3.9__3.10__6-10... 06/10 MATH 145 Lab 3.9 Group Members: Your name: 1. Solve for x: 32(1.05) = 90 2. a. One type of Iodine disintegrates continuously at a constant rate of 8.6% per day. Suppose the original amount, P, is 10 grams, and let t be measured in days. Because the Iodine is decaying continuously at a constant rate, we use the model P = Pe" for the decay equation, where k is the rate of continuous decay. Using the given information, write the decay equation for this type of Iodine. b. Use your equation to determine the half-life of this type of Iodine. That is, find out how many days it will take for half of the original amount to be left. Show an algebraic solution using logs.
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