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

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,