or the following questions, you will need the following formula: let Xo be the initial value, X, be the value after t periods and g the growth rate by period, then X₁ = Xo(1+g)¹. ou may also need the log properties: log(a) = blog(a) and log(ab) = log(a) +log(b). The properties imply: log(X₂) = log(X₁) + tlog(1+g). a. Suppose the initial real per capita GDP for countries A and B is 14 thousand dollars. If the annual growth rates of countries A and B are respectively 2.8% and 4.8 %, what is the the ratio X/X₁ after 51 years? Round your answer to the nearest first decimal. Number b. Suppose the annual growth rates of countries A and B are respectively 2.8% and 4.8%. How many years it will take for each country to double their respective real per capita GDP? Round your answer to the nearest first decimal. Country A: Number Country B: Number c. Suppose the initial real per capita GDP of countries A, B and C are respectively 10, 10 and 50 thousand dollars. If their annual growth rates are respectively 2.8%, 4.8% and 1.0%, how many years it will take for countries A and B to converge to country C? Round your answer to the nearest first decimal. Country A: Number Country B: Number
or the following questions, you will need the following formula: let Xo be the initial value, X, be the value after t periods and g the growth rate by period, then X₁ = Xo(1+g)¹. ou may also need the log properties: log(a) = blog(a) and log(ab) = log(a) +log(b). The properties imply: log(X₂) = log(X₁) + tlog(1+g). a. Suppose the initial real per capita GDP for countries A and B is 14 thousand dollars. If the annual growth rates of countries A and B are respectively 2.8% and 4.8 %, what is the the ratio X/X₁ after 51 years? Round your answer to the nearest first decimal. Number b. Suppose the annual growth rates of countries A and B are respectively 2.8% and 4.8%. How many years it will take for each country to double their respective real per capita GDP? Round your answer to the nearest first decimal. Country A: Number Country B: Number c. Suppose the initial real per capita GDP of countries A, B and C are respectively 10, 10 and 50 thousand dollars. If their annual growth rates are respectively 2.8%, 4.8% and 1.0%, how many years it will take for countries A and B to converge to country C? Round your answer to the nearest first decimal. Country A: Number Country B: Number
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
Someone, please help accurately
![For the following questions, you will need the following formula: let Xo be the initial value, X, be the value after & periods and g
be the growth rate by period, then
X = Xo (1+g)¹.
You may also need the log properties: log(a) = blog(a) and log(ab) = log(a) + log(b). The properties imply:
log(X₂) = log(X) + tlog(1+g).
a. Suppose the initial real per capita GDP for countries A and B is 14 thousand dollars. If the annual growth rates of countries
A and B are respectively 2.8% and 4.8%, what is the the ratio X/X₁ after 51 years? Round your answer to the nearest
first decimal.
Number
b. Suppose the annual growth rates of countries A and B are respectively 2.8% and 4.8%. How many years it will take for
each country to double their respective real per capita GDP? Round your answer to the nearest first decimal.
Country A: Number
Country B: Number
c. Suppose the initial real per capita GDP of countries A, B and C are respectively 10, 10 and 50 thousand dollars. If their
annual growth rates are respectively 2.8%, 4.8% and 1.0%, how many years it will take for countries A and B to converge to
country C? Round your answer to the nearest first decimal.
Country A: Number
Country B: Number](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc52fcbea-c90d-4c3c-b990-046af1da7f75%2F9c5d8df8-ede5-43eb-8404-46d59a76c7db%2Fp8ejr6_processed.png&w=3840&q=75)
Transcribed Image Text:For the following questions, you will need the following formula: let Xo be the initial value, X, be the value after & periods and g
be the growth rate by period, then
X = Xo (1+g)¹.
You may also need the log properties: log(a) = blog(a) and log(ab) = log(a) + log(b). The properties imply:
log(X₂) = log(X) + tlog(1+g).
a. Suppose the initial real per capita GDP for countries A and B is 14 thousand dollars. If the annual growth rates of countries
A and B are respectively 2.8% and 4.8%, what is the the ratio X/X₁ after 51 years? Round your answer to the nearest
first decimal.
Number
b. Suppose the annual growth rates of countries A and B are respectively 2.8% and 4.8%. How many years it will take for
each country to double their respective real per capita GDP? Round your answer to the nearest first decimal.
Country A: Number
Country B: Number
c. Suppose the initial real per capita GDP of countries A, B and C are respectively 10, 10 and 50 thousand dollars. If their
annual growth rates are respectively 2.8%, 4.8% and 1.0%, how many years it will take for countries A and B to converge to
country C? Round your answer to the nearest first decimal.
Country A: Number
Country B: Number
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