Item 24 Time Remaining 31 minutes 59 seconds 00:31:59 Item 24 Item 24 Time Remaining 31 minutes 59 seconds 00:31:59 Real GDP per person in both Alpha and Omega is equal to $2,000. Over the next 100 years, real GDP per person grows at a 1.5 percent annual rate in Alpha and at a 2.5 percent annual rate in Omega. After 100 years, real GDP per person in Alpha is smaller than real GDP per person in Omega.

After 100 years, real GDP per person in Alpha is 4 TIMES smaller than real GDP per person in Omega.

Explanation:

Current real GDP per capita in Alpha = $2,000

in 100 years, the real GDP per capita in Alpha = $2,000 x (1 + 1.5%)¹⁰⁰ = $5,848.87

Current real GDP per capita in Omega = $2,000

in 100 years, the real GDP per capita in Omega = $2,000 x (1 + 2.5%)¹⁰⁰ = $23,627.43

Alpha's real GDP per capita is 4 times smaller than Omega's = $23,627.43 / $5,848.87 = 4.04 times

*I used the future value formula: FV = PV (1 + r)ⁿ

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