Question 83425
{{{A=p(1+r/n)^(n*t)}}} Start with the given equation


{{{A=1(1+0.1/1)^(1*t)}}}  Plug in p=1, r=0.1, and n=1

Let t=0 and plug it into  {{{A=1(1+0.1/1)^(1*t)}}}

{{{A=1(1+0.1/1)^(1*0)}}}       Start with the given expression
{{{A=1(1+0.1)^(1*0)}}}     Divide 0.1 by 1 to get 0.1
{{{A=1(1+0.1)^(0)}}}     Multiply the exponents 1 and 0 to get 0
{{{A=1(1.1)^(0)}}}       Add 1 and 0.1 to get 1.1
{{{A=1(1)}}}      Raise 1.1 to 0 to get 1
{{{A=1}}}       Multiply 1 and 1 to get 1

So our 1st point is (0,1)
                              
Let t=1 and plug it into  {{{A=1(1+0.1/1)^(1*t)}}}

{{{A=1(1+0.1/1)^(1*1)}}}       Start with the given expression
{{{A=1(1+0.1)^(1*1)}}}     Divide 0.1 by 1 to get 0.1
{{{A=1(1+0.1)^(1)}}}     Multiply the exponents 1 and 1 to get 1
{{{A=1(1.1)^(1)}}}       Add 1 and 0.1 to get 1.1
{{{A=1(1.1)}}}      Raise 1.1 to 1 to get 1.1
{{{A=1.1}}}       Multiply 1 and 1.1 to get 1.1

So our 2nd point is (1,1.1)
                              
Let t=2 and plug it into  {{{A=1(1+0.1/1)^(1*t)}}}

{{{A=1(1+0.1/1)^(1*2)}}}       Start with the given expression
{{{A=1(1+0.1)^(1*2)}}}     Divide 0.1 by 1 to get 0.1
{{{A=1(1+0.1)^(2)}}}     Multiply the exponents 1 and 2 to get 2
{{{A=1(1.1)^(2)}}}       Add 1 and 0.1 to get 1.1
{{{A=1(1.21)}}}      Raise 1.1 to 2 to get 1.21
{{{A=1.21}}}       Multiply 1 and 1.21 to get 1.21

So our 3rd point is (2,1.21)
                              
Let t=3 and plug it into  {{{A=1(1+0.1/1)^(1*t)}}}

{{{A=1(1+0.1/1)^(1*3)}}}       Start with the given expression
{{{A=1(1+0.1)^(1*3)}}}     Divide 0.1 by 1 to get 0.1
{{{A=1(1+0.1)^(3)}}}     Multiply the exponents 1 and 3 to get 3
{{{A=1(1.1)^(3)}}}       Add 1 and 0.1 to get 1.1
{{{A=1(1.331)}}}      Raise 1.1 to 3 to get 1.331
{{{A=1.331}}}       Multiply 1 and 1.331 to get 1.331

So our 4th point is (3,1.331)
                              
Let t=4 and plug it into  {{{A=1(1+0.1/1)^(1*t)}}}

{{{A=1(1+0.1/1)^(1*4)}}}       Start with the given expression
{{{A=1(1+0.1)^(1*4)}}}     Divide 0.1 by 1 to get 0.1
{{{A=1(1+0.1)^(4)}}}     Multiply the exponents 1 and 4 to get 4
{{{A=1(1.1)^(4)}}}       Add 1 and 0.1 to get 1.1
{{{A=1(1.4641)}}}      Raise 1.1 to 4 to get 1.4641
{{{A=1.4641}}}       Multiply 1 and 1.4641 to get 1.4641

So our 5th point is (4,1.4641)
                               So lets graph these points and connect them


{{{drawing(500,500,-5,5,-5,5,
graph( 500, 500, -5, 5, -5, 5,1(1+0.1/1)^(1*x)),
grid(1),
circle(0,1,0.08),
circle(0,1,0.05),
circle(1,1.1,0.08),
circle(1,1.1,0.05),
circle(2,1.21,0.08),
circle(2,1.21,0.05),
circle(3,1.331,0.08),
circle(3,1.331,0.05),
circle(4,1.4641,0.08),
circle(4,1.4641,0.05)
)}}}