po Assume that the production function for a country is given by Y = √√√K and annual investment is given by the function Q I=Y XY where y = 0.270, and that the yearly depreciation rate is 4.50%. Suppose that this year, the output in the country is 1, and a neighbor country's output is 50% higher. Calculate the time it would take for the country's output to catch up with its neighbor's output. Assume the neighbor country's economy is neither growing nor shrinking. years.

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Chapter1: Making Economics Decisions
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Hello I need help with the following homework problem for my econ 101 hw, may you please walk me through the steps to take to find the answer, I tried finding the solution but I don't know where to start. I will be attaching the image as the question is asking to calculate the time it would take for the country's output to catch up with its neighbor's output. The question is image is attached for the question that I want to be answered. Please send me the solution as fast as possible thank you for this question. 

Ⓒ Macmillan Learning
☺
Assume that the production function for a country is given by
Y = √√K
and annual investment is given by the function
I=Y XY
where y = 0.270, and that the yearly depreciation rate is 4.50%.
Suppose that this year, the output in the country is 1, and a neighbor country's output is 50% higher. Calculate the time it
would take for the country's output to catch up with its neighbor's output. Assume the neighbor country's economy is neither
growing nor shrinking.
years
Transcribed Image Text:Ⓒ Macmillan Learning ☺ Assume that the production function for a country is given by Y = √√K and annual investment is given by the function I=Y XY where y = 0.270, and that the yearly depreciation rate is 4.50%. Suppose that this year, the output in the country is 1, and a neighbor country's output is 50% higher. Calculate the time it would take for the country's output to catch up with its neighbor's output. Assume the neighbor country's economy is neither growing nor shrinking. years
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