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 cars. a. Calculate the inflation rate from 1990 to 2010. b. If a car cost $17,000 in 2010, use the inflation rate from part (a) to estimate what the car would have cost 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 cars. a. Calculate the inflation rate from 1990 to 2010. b. If a car cost $17,000 in 2010, use the inflation rate from part (a) to estimate what the car would have cost 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 cars.
a. Calculate the inflation rate from 1990 to 2010.
b. If a car cost $17,000 in 2010, use the inflation rate from part (a) to estimate what the car would have cost in 1990.
4:54 PM Thu Jan 16
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Question 3
The angle bisectors of APQR are PZ, QZ, and RZ. They meet at a single point Z.
(In other words, Z is the incenter of APQR.)
Suppose YZ = 22, QZ = 23, mz WPY 38°, and mzXQZ = 54°.
Find the following measures.
Note that the figure is not drawn to scale.
P
W
Z
X
R
Y
mzXQW
WZ
=
=
0
mz XRZ
=
0°
a
C
d
2
1
-1
0
1
2
3
-1
Graph of f'(x)
(5) The graph of f'(x), the derivative of f(x), is shown in the figure above. The line tangent to the graph
of f'(x) at x=0 is vertical and f'(x) is not differentiable at x = 1. Which of the following statements is
true?
(a) f'(x) does not exist at x = 0.
(b) f(x) has a point of inflection at x = 1.
(c) f(x) has a local maximum at x = 0.
(d) f(x) has a local maximum at x = 1.
ball is drawn from one of three urns depending on the outcomeof a roll of a dice. If the dice shows a 1, a ball is drawn from Urn I, whichcontains 2 black balls and 3 white balls. If the dice shows a 2 or 3, a ballis drawn from Urn II, which contains 1 black ball and 3 white balls. Ifthe dice shows a 4, 5, or 6, a ball is drawn from Urn III, which contains1 black ball and 2 white balls. (i) What is the probability to draw a black ball? [7 Marks]Hint. Use the partition rule.(ii) Assume that a black ball is drawn. What is the probabilitythat it came from Urn I? [4 Marks]Total marks 11 Hint. Use Bayes’ rule
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