The population of Smallville increased by 20% from 2000 to 2005 and it increased by 30% from 2005 to 2010. By what percent did the population of Smallville increase from 2000 to 2010?

Percentage increase in population of Smallville from 2000 to 2010 is 56%

Step-by-step explanation:

The population of Smallville increased by 20% from 2000 to 2005. Let assume that the initial population in 2000 = P

Increased value = (100 +20)/100 × P

Increased value = 120/100 ×P

Increased population = 1.2P

and it increased by 30% from 2005 to 2010.

Increased population= 130/100×1.2P

Increase population = 1.3 × 1.2P

Population = 1.56P

By what percent did the population of Smallville increase from 2000 to 2010

%increase = increase/initial × 100

Increase population = 1.56P - P

= 0.56P

Initial population = P

%Increase = 0.56P/P × 100

%increase = 0.56 × 100 = 56%

Let the width be x inches. And it is given that length is 1 more then the width, so length = (x+1)inches . And it is given that height is 1 more then the length , so height is (x+1+1) inches = (x+2) inches

THe formula of volume is

Volume = length times width times height .

Substituting the values of volume, length , width and height,we will get

847.875 = x(x+1)(x+2)

On multiplying the right side, we will get

Subtracting 847.875 to both sides

That gives x= 8.5

So the width =8.5 inches, length = 8.5+1 =9.5 inches and height =9.5+1 =10.5 inches .