The Consumer Price Index (CPI) is a measure of inflation obtained by comparing current prices with base prices in 1982–84. We can find the inflation rate for a given time period by calculating the percent of change in the CPI over that time period. For example, the CPI in 2005 was 195.3 and in 2009 it was 214.5, so the inflation rate was 214.5 − 195.3 195.3 ≈ 0.098 = 9.8 % . Use the given graph to do Exercises 47–50. Your answers may vary slightly due to rounding. Effect of inflation on the cost of sneakers. a. Calculate the inflation rate from 1990 to 2015. b. If a pair of sneakers cost $83 in 1990, use the inflation rate from part (a) to estimate the cost of the sneakers in 2015.
The Consumer Price Index (CPI) is a measure of inflation obtained by comparing current prices with base prices in 1982–84. We can find the inflation rate for a given time period by calculating the percent of change in the CPI over that time period. For example, the CPI in 2005 was 195.3 and in 2009 it was 214.5, so the inflation rate was 214.5 − 195.3 195.3 ≈ 0.098 = 9.8 % . Use the given graph to do Exercises 47–50. Your answers may vary slightly due to rounding. Effect of inflation on the cost of sneakers. a. Calculate the inflation rate from 1990 to 2015. b. If a pair of sneakers cost $83 in 1990, use the inflation rate from part (a) to estimate the cost of the sneakers in 2015.
Solution Summary: The author calculates the inflation rate for a given time period by calculating the percent of change in CPI.
The Consumer Price Index (CPI) is a measure of inflation obtained by comparing current prices with base prices in 1982–84. We can find the inflation rate for a given time period by calculating the percent of change in the CPI over that time period. For example, the CPI in 2005 was 195.3 and in 2009 it was 214.5, so the inflation rate was
214.5
−
195.3
195.3
≈
0.098
=
9.8
%
. Use the given graph to do Exercises 47–50. Your answers may vary slightly due to rounding.
Effect of inflation on the cost of sneakers.
a. Calculate the inflation rate from 1990 to 2015.
b. If a pair of sneakers cost $83 in 1990, use the inflation rate from part (a) to estimate the cost of the sneakers in 2015.
Numerically estimate the value of limx→2+x3−83x−9, rounded correctly to one decimal place.
In the provided table below, you must enter your answers rounded exactly to the correct number of decimals, based on the Numerical Conventions for MATH1044 (see lecture notes 1.3
Actions
page 3). If there are more rows provided in the table than you need, enter NA for those output values in the table that should not be used.
x→2+
x3−83x−9
2.1
2.01
2.001
2.0001
2.00001
2.000001
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Martinez Auto Supplies has retail stores located in eight cities in California. The price they charge for a particular product in each city are vary because of differing competitive conditions. For instance, the price they charge for a case of a popular brand of motor oil in each city follows. Also shown are the number of cases that Martinez
Auto sold last quarter in each city.
City
Price ($)
Sales (cases)
Bakersfield
34.99
501
Los Angeles
38.99
1425
Modesto
36.00
294
Oakland
33.59
882
Sacramento
40.99
715
San Diego
38.59
1088
San Francisco
39.59
1644
San Jose
37.99
819
Compute the average sales price per case for this product during the last quarter? Round your answer to two decimal places.
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Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License