1000=(1000*1.01^x)-(1000*1.01^(x-1))

Solution for 1000=(1000*1.01^x)-(1000*1.01^(x-1)) equation:

1000=(1000*1.01^x)-(1000*1.01^(x-1))

We move all terms to the left:

1000-((1000*1.01^x)-(1000*1.01^(x-1)))=0


We calculate terms in parentheses: -((1000*1.01^x)-(1000*1.01^(x-1))), so:

(1000*1.01^x)-(1000*1.01^(x-1))

We get rid of parentheses

1000*1.01^x-(1000*1.01^(x-1))


We calculate terms in parentheses: -(1000*1.01^(x-1)), so:

1000*1.01^(x-1)

Wy multiply elements

1000x

Back to the equation:

-(1000x)


We add all the numbers together, and all the variables

-1000x+1000*1.01^x

Wy multiply elements

-1000x+1000x

We add all the numbers together, and all the variables



Back to the equation:

-()


We add all the numbers together, and all the variables

=0

x=0/1

x=0