An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Calculate the total CPI for year XXX1: CP I XXX 1 = 1300 + 400 + 190 + 450 + 600 + 180 + 120 + 300 = 3540 .
Calculate the total CPI for year XXX2: CP I XXX 2 = 1400 + 400 + 220 + 520 + 600 + 190 + 100 + 350 = 3780 .
Calculate the inflation rate: I n f l a t i o n R a t e = 3540 3780 − 3540 × 100 .
The inflation rate from year XXX1 to year XXX2 is approximately 6.78 % .
Explanation
Calculate total CPI for Year XXX1 First, we need to calculate the total Consumer Price Index (CPI) for year XXX1. This is done by summing the CPI values for all categories in year XXX1.
Sum CPI values for Year XXX1 The CPI values for year XXX1 are: Housing (1300), Food (400), Transportation (190), Medical (450), Education (600), Apparel (180), Recreation (120), and Other (300). Summing these values gives us the total CPI for year XXX1:
CP I XXX 1 = 1300 + 400 + 190 + 450 + 600 + 180 + 120 + 300 = 3540
Calculate total CPI for Year XXX2 Next, we calculate the total CPI for year XXX2 by summing the CPI values for all categories in year XXX2.
Sum CPI values for Year XXX2 The CPI values for year XXX2 are: Housing (1400), Food (400), Transportation (220), Medical (520), Education (600), Apparel (190), Recreation (100), and Other (350). Summing these values gives us the total CPI for year XXX2:
CP I XXX 2 = 1400 + 400 + 220 + 520 + 600 + 190 + 100 + 350 = 3780
Apply the Inflation Rate Formula Now that we have the total CPI for both years, we can calculate the inflation rate using the formula:
I n f l a t i o n R a t e = CP I XXX 1 CP I XXX 2 − CP I XXX 1 × 100
Calculate the Inflation Rate Plugging in the values we calculated:
I n f l a t i o n R a t e = 3540 3780 − 3540 × 100 = 3540 240 × 100 ≈ 6.779661016949152
State the Final Answer Rounding to two decimal places, the inflation rate from year XXX1 to year XXX2 is approximately 6.78%.
Examples
Understanding inflation rates is crucial in personal finance and economics. For instance, if you're planning to invest money, knowing the inflation rate helps you determine the real return on your investment. If your investment yields a 5% return and the inflation rate is 2%, your real return is only 3%. Similarly, businesses use inflation rates to adjust prices and wages, ensuring they maintain profitability and fair compensation for employees. This calculation provides a foundational understanding of how economic indicators like CPI impact everyday financial decisions.
When an electric device delivers a current of 15.0 A for 30 seconds, approximately 2.81 × 10^21 electrons flow through it. This calculation uses the relationships between current, charge, and the elementary charge of an electron. The total charge calculated is 450 C, which corresponds to this number of electrons.
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