Solved: Calculator Issues? Annuity Value at 6 Years w/ 6.8% Compounded Annually

[yumito]

Homework Statement

To save money you put $3000 at the end of each year in an annuity that pays 6.8% compounded annually. Use the formula for the value of an annuity.
The Given Formula:

A=P[(1+(r/n)[SUP]nt[/SUP])-1]
     ______________
           (r/n)

How much would be saved at the end of six years.

Homework Equations

The Variables:

P=3000
R=.068
n=1
t=6

The Completed formula:

A=3000((1+(.068/1)^(1)(6))-1)
     _______________________
           (.068/1)

When i put this exactly into http://web2.0calc.com/ (because I am without a scientific calculator at the moment)

The Attempt at a Solution

My Final Answer Is: A=44102.945538271292235294118
Rounded To The Nearest dollar: A=$44103
The program I Am Submitting The Answer To Says, the answer is: A=$21352 rounded to the nearest dollar.

My question is why is my answer wrong, is it the calculator? do i have a parentheses out of place?


_____________________________________________________________________________
EDIT: fixed spelling errors and a few minor changes, none involving the math.

 

[yumito]

after about an hour of crying and an hour of raging that no1 would reply i figured out the mistake it was a parentheses

 

[jedishrfu]

So it was the missing parents around the (1)(6) factor right?

 

[yumito]

nope, it wasn't, even tho that would have been another issue if my post was completely honest i actually multiplied them together before i put it in the calculator, the issue was the (1+(.068/1)^(1)(6)) should have been ((1+(.068/1))^((1)(6)))

 

[yumito]

in other words, add the 1 to the fraction before the exponent

 

[checkitagain]

...the issue was the (1+(.068/1)^(1)(6))
should have been ((1+(.068/1))^((1)(6)))

What I do to reduce the number of parentheses for that part in the
calculator display and make it relatively easier to read is type:


((1+0.068/1)^(1*6))

 

[yumito]

well from my time spend in my programing classes i must have completely forgotten how to debug, i have become too reliant of others help and need to seriously look at the problem before asking for help. on the most basic level, there are more just remove the outter most set of parenthesis until you see the problem lol

 

[Mark44]

What I do to reduce the number of parentheses for that part in the
calculator display and make it relatively easier to read is type:


((1+0.068/1)^(1*6))

Why do you show division by 1 and multiplication by 1? Instead of 1 + .068/1, why not write 1.068? And instead of 1*6, why not write just 6?

 

[checkitagain]

Why do you show division by 1 and multiplication by 1?
Instead of 1 + .068/1, why not write 1.068?
And instead of 1*6, why not write just 6?

I was emphasizing an intermediate step where it is common for some beginning
calculator users to enter a product incorrectly. I was allowing for a denominator
other than 1 and a larger product for the exponent by my example.**

For myself, I would actually enter it they way you asked about for
[i[that problem[/i], because I know that is even simpler and I can
do that in my head.



** Example:

P(1 + 0.068/12)^(12*17) is what I would type for a different example
with relatively more difficult arithmetic.