Suppose countries X and Y current have the same level of production. If country X grows at 3.5% and country Y grows at 7%. a) How long will it take for country X's production to double? |years (report your answer to one decimal place) b) How long will it take for country Y's production to double? years (report your answer to one decimal place) c) When country X's production has doubled, how much larger will country Y's production be?
Suppose countries X and Y current have the same level of production. If country X grows at 3.5% and country Y grows at 7%. a) How long will it take for country X's production to double? |years (report your answer to one decimal place) b) How long will it take for country Y's production to double? years (report your answer to one decimal place) c) When country X's production has doubled, how much larger will country Y's production be?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![GRAPH
SETTINGS
Reset
Country-X
Initial Value
($50 – $10,000)
1,000.00
Value (thousands of dollars)
[Country-X = Country-Y]
Growth Rate: 3%
10
9
0.1%
10.0%
8
Country-Y
7
Initial Value
6
($50 – $10,000)
2,000.00
5
4
Growth Rate: 1%
0.1%
10.0%
2
1
35.4 yrs.
E CALCULATIONS
0 5
35
40
10
15
20
25
30
Years
Value in
Country-X
Country-Y
10 years
$1,343.92
$2,209.24
20 years
$1,806.11
$2,440.38
30 years
$2,427.26
$2,695.70
Country-X
Country-Y
Instructions: Modify the settings in the interactive tool as needed to answer the questions below.
Suppose countries X and Y current have the same level of production. If country X grows at 3.5% and country Y grows at 7%...
a) How long will it take for country X's production to double?
years (report your answer to one decimal place)
b) How long will it take for country Y's production to double?
years (report your answer to one decimal place)
c) When country X's production has doubled, how much larger will country Y's production be?
Otwice as large
Ofour times as large
Ohalf as large
Othey will still be equal
d) Use the interactive tool to estimate how long will it take for country X's production to be three times as large as country Y's production.
years (round your estimate to a whole number)
revised, dar: 10-07-2019, 09_28_2020_QC_CS-231113](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a5ac3c6-e4ab-423a-91e1-ff33bdae0d07%2F0273db2d-0bb7-45b4-9e9a-44b8d5d8692b%2Fozn3i6_processed.png&w=3840&q=75)
Transcribed Image Text:GRAPH
SETTINGS
Reset
Country-X
Initial Value
($50 – $10,000)
1,000.00
Value (thousands of dollars)
[Country-X = Country-Y]
Growth Rate: 3%
10
9
0.1%
10.0%
8
Country-Y
7
Initial Value
6
($50 – $10,000)
2,000.00
5
4
Growth Rate: 1%
0.1%
10.0%
2
1
35.4 yrs.
E CALCULATIONS
0 5
35
40
10
15
20
25
30
Years
Value in
Country-X
Country-Y
10 years
$1,343.92
$2,209.24
20 years
$1,806.11
$2,440.38
30 years
$2,427.26
$2,695.70
Country-X
Country-Y
Instructions: Modify the settings in the interactive tool as needed to answer the questions below.
Suppose countries X and Y current have the same level of production. If country X grows at 3.5% and country Y grows at 7%...
a) How long will it take for country X's production to double?
years (report your answer to one decimal place)
b) How long will it take for country Y's production to double?
years (report your answer to one decimal place)
c) When country X's production has doubled, how much larger will country Y's production be?
Otwice as large
Ofour times as large
Ohalf as large
Othey will still be equal
d) Use the interactive tool to estimate how long will it take for country X's production to be three times as large as country Y's production.
years (round your estimate to a whole number)
revised, dar: 10-07-2019, 09_28_2020_QC_CS-231113
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