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5. 10 20 60 30 40 50 200 230 264.5 304.17 462.61 y 349.8 402.27

5. 10 20 60 30 40 50 200 230 264.5 304.17 462.61 y 349.8 402.27

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5. 09 30 230 264.5 304.17 349.8 402.27 462.61 Solve the following: #1: A city has been losing population. In the 1990 census it decreased by 15% from the 190 census which showed that the city had 1.2 million people If the percent of decline is expected to continue predict the population, create a table of values for the population in 1990, 2000, 2010 and 2020. What function would generate this table? Year 2010 2020 066 Population %3D = do] #2: Another city showed the exact opposite, its population was increasing by 15%. If in 1980 it also had 1.2 million people create a table of values for the population in 1990,2000, 2010 and 2020. What function would generate this table? Year 2010 2020 000 066 Population %D = do] #3: Compound interest earns interest on interest. 2000 is invested at 6.5% per year gives the function: P=(20o00)(1+.065)t How long will it take to double?
Transcribed Image Text:5. 09 30 230 264.5 304.17 349.8 402.27 462.61 Solve the following: #1: A city has been losing population. In the 1990 census it decreased by 15% from the 190 census which showed that the city had 1.2 million people If the percent of decline is expected to continue predict the population, create a table of values for the population in 1990, 2000, 2010 and 2020. What function would generate this table? Year 2010 2020 066 Population %3D = do] #2: Another city showed the exact opposite, its population was increasing by 15%. If in 1980 it also had 1.2 million people create a table of values for the population in 1990,2000, 2010 and 2020. What function would generate this table? Year 2010 2020 000 066 Population %D = do] #3: Compound interest earns interest on interest. 2000 is invested at 6.5% per year gives the function: P=(20o00)(1+.065)t How long will it take to double?
3. 2. 2. Determine if the of values or functions. Harrisburg Area Community College Name: Math 103 Fahringer Assignment # 4 Show all work!!! 500 Linear vs. Exponential ('x)f - (Cx)/ K- U = For linear use the rate of change test: X2-Xi For exponential functions use the common ratio test GOUp f(x+1) Yn+1 = base = growth / decay factor (x)) Yn %3D If you decide that the function is linear write it in the form y = ax + b, if exponential write it in the form y = a(b) x or y=Ca*. Check your function by substituting values from the table. %3D Table of Values Function 1. -3 -2 -1 3 0.448 2.8 17.5 43.75 109.38 1.12 -3 -2 -1 2 -.1 .1 .3 .5 1.1 6' 3. -3 -2 -1 1. 2. 3. 2743-5 2469.1 2222.2 1800 000 1620 1458 4. -3 -2 -1 2 3 1. 851.61 898.45 947.87 1055 1113 1174.2 000
Transcribed Image Text:3. 2. 2. Determine if the of values or functions. Harrisburg Area Community College Name: Math 103 Fahringer Assignment # 4 Show all work!!! 500 Linear vs. Exponential ('x)f - (Cx)/ K- U = For linear use the rate of change test: X2-Xi For exponential functions use the common ratio test GOUp f(x+1) Yn+1 = base = growth / decay factor (x)) Yn %3D If you decide that the function is linear write it in the form y = ax + b, if exponential write it in the form y = a(b) x or y=Ca*. Check your function by substituting values from the table. %3D Table of Values Function 1. -3 -2 -1 3 0.448 2.8 17.5 43.75 109.38 1.12 -3 -2 -1 2 -.1 .1 .3 .5 1.1 6' 3. -3 -2 -1 1. 2. 3. 2743-5 2469.1 2222.2 1800 000 1620 1458 4. -3 -2 -1 2 3 1. 851.61 898.45 947.87 1055 1113 1174.2 000
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