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 jeans. a. Calculate the inflation rate from 1990 to 2015. b. If a pair of jeans cost $80 in 2015, use the inflation rate from part (a) to estimate what the cost of jeans would have been in 1990.
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 jeans. a. Calculate the inflation rate from 1990 to 2015. b. If a pair of jeans cost $80 in 2015, use the inflation rate from part (a) to estimate what the cost of jeans would have been in 1990.
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 jeans.
a. Calculate the inflation rate from 1990 to 2015.
b. If a pair of jeans cost $80 in 2015, use the inflation rate from part (a) to estimate what the cost of jeans would have been in 1990.
c) Sketch the grap
109. Hearing Impairments. The following function
approximates the number N, in millions, of
hearing-impaired Americans as a function of
age x:
N(x) = -0.00006x³ + 0.006x2
-0.1x+1.9.
a) Find the relative maximum and minimum of
this function.
b) Find the point of inflection of this function.
Sketch the graph of N(x) for 0 ≤ x ≤ 80.
The purpose of this problem is to solve the following PDE using a numerical simulation.
{
af
(t, x) + (1 − x)=
-
Ət
af 10²ƒ
+
მე 2 მე2
= 0
f(ln(2), x)
=
ex
(a) The equation above corresponds to a Feynman-Kac formula. Identify the stochastic
process (X)20 and the expectation that would correspond to f(t, x) explicitly.
(b) Use a numerical simulation of (X+) above to approximate the values of f(0, x) at 20
discrete points for x, uniformly spaced in the interval [0,2]. Submit a graph of your
solution.
(c) How would you proceed to estimate the function f(0.1, x). (Briefly explain your
method, you do not need to do it.)
Extra question: You can explicitly determine the function in (b) (either as a conditional
expectation or by solving the PDE). Compare the theoretical answer to your solution.
Write p(x) = 6+11x+6x² as a linear combination of ƒ (x) = 2+x+4x² and g(x) = 1−x+3x²
and h(x)=3+2x+5x²
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
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