contestada

A number increases by 10%, and then decreases by 10%. Will the result be greater than, less than, or equal to the original number? Explain. Let xx represent the number. A 10% increase is equal to x+x+ , or . A 10% decrease of this new number is equal to − 0.1(− 0.1( )), or .

Respuesta :

CastleRook
Given that the number is x,
10% increase will give us a new number of:
110/100*x
=1.1x
10% decrease will give us a new number of:
90/100*1.1x
=0.99x
This implies the new number is less than the original number 
MrRoyal

The result will be less than the original number

Let the number be x.

When x increases by 10%, the new value of x is:

New = x * (1 + 10%)

This gives

New = 1.1x

When the new value decreases by 10%, we have:

New2 = 1.1x * (1 - 10%)

This gives

New2 = 1.1x - 0.11x

Evaluate the difference

New2 = 0.99x

0.99x is less than x

Hence, the result will be less than the original number

Read more about percentage change at:

https://brainly.com/question/11360390

Otras preguntas