Exponential growth and compound interest

[alexandria]

Homework Statement

Homework Equations

The Attempt at a Solution

here is my attempted answer, can someone please verify if my method is accurate and if my solution is correct? thanks for the help!

 

[Ray Vickson]

Homework Statement

View attachment 101163

Homework Equations

View attachment 101164

The Attempt at a Solution

here is my attempted answer, can someone please verify if my method is accurate and if my solution is correct? thanks for the help!
View attachment 101165

Your method is OK, but I get $14644.18 instead of your $14598.54.

Also: do NOT use the exact same title "exponential growth and compound interest" for two different threads. When you do that it makes it harder for other readers/helpers to navigate your PF threads.

 

[alexandria]

i think its because i didnt round 0.005208333
would my answer still be considered right, or is it better to round ??

 

[Ray Vickson]

i think its because i didnt round 0.005208333
would my answer still be considered right, or is it better to round ??

Well, the correct answer is $14644.18, while your answer is $14598.54. Admittedly, the difference ($45.64) is not very large compared to the base values, but nevertheless one answer is not correct, no matter how you look at it.

As to rounding: I cannot answer that question because you do not specify what accuracy you round to. Generally, though, it is best to keep full calculator accuracy during your computations, and round off the answer only at the end.

 

[alexandria]

ok got it, sorry for the late reply, but thanks for the help!