If a country's debt-to-gdp ratio is currently 10% and its debt is expected to grow from 30 billion dollars to 60 billion dollars in the next 20 years, what will the country's gdp have to be in 20 years to maintain the current debt-to-gdp ratio

Solution:

Current Debt = 30 billion dollars

Debt to GDP ratio= 10%

Let GDP= x billion

Increased Debt = 60 billion dollars

Debt to GDP ratio= 10%

Let GDP= y billion

As, Debt to GDP ratio have to be same in both the cases.

So, New GDP=600 billion

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

overpriced

step-by-step explanation: