SOLUTION: Please help me solve this: For a fixed rate, a fixed principal amount and a fixed compounding cycle, the return is an exponential function of time. Using a formula, let r = 10%,

Question 83425: Please help me solve this:
For a fixed rate, a fixed principal amount and a fixed compounding cycle, the return is an exponential function of time. Using a formula, let r = 10%, P = 1 and n = 1 and give the coordinates (t,A) for the points where t = 0,1,2,3,4. Round your answer to the nearest tenth's place.
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Plug in p=1, r=0.1, and n=1
Let t=0 and plug it into
Start with the given expression
Divide 0.1 by 1 to get 0.1
Multiply the exponents 1 and 0 to get 0
Add 1 and 0.1 to get 1.1
Raise 1.1 to 0 to get 1
Multiply 1 and 1 to get 1
So our 1st point is (0,1)

Let t=1 and plug it into
Start with the given expression
Divide 0.1 by 1 to get 0.1
Multiply the exponents 1 and 1 to get 1
Add 1 and 0.1 to get 1.1
Raise 1.1 to 1 to get 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
Start with the given expression
Divide 0.1 by 1 to get 0.1
Multiply the exponents 1 and 2 to get 2
Add 1 and 0.1 to get 1.1
Raise 1.1 to 2 to get 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
Start with the given expression
Divide 0.1 by 1 to get 0.1
Multiply the exponents 1 and 3 to get 3
Add 1 and 0.1 to get 1.1
Raise 1.1 to 3 to get 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
Start with the given expression
Divide 0.1 by 1 to get 0.1
Multiply the exponents 1 and 4 to get 4
Add 1 and 0.1 to get 1.1
Raise 1.1 to 4 to get 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

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For a fixed rate, a fixed principal amount and a fixed compounding cycle, the return is an exponential function of time. Using a formula, let r = 10%, P = 1 and n = 1 and give the coordinates (t,A) for the points where t = 0,1,2,3,4. Round your answer to the nearest tenth's place.
----------------
A(t) = P(1+r/n)^(nt)
(0,1)
(1,1.1)
(2,1.0192)
(3,1.029)
(4,1.0389)
===============
Cheers,
Stan H.
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