Question 434949
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What will be the future value in a year if $600 is invested at a rate of 15% compounded quarterly
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        The answer in the post by @mananth is correct,  but his intermediate formulas are wrong.

        Wrong formulas in his post can confuse a reader.


        To avoid confusing,  I place my solution here in the form as it  SHOULD  be presented.



<pre>
Principal P =	600																		

years =	1									

compounded 4	times a year								

Rate =	15%	which means that the effective rate is  {{{0.15/4}}}  per quarter.


Future value = {{{P*(1+r/4)^4}}}									
										
Amount = {{{600*(1+0.15/4)^4}}} = 695.19  dollars.


<U>ANSWER</U>.  Future value in a year is  $695.19.
</pre>

Solved and presented correctly.


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Again, I placed this my solution here to OVERLAY wrong formulas in the post by @mananth.



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I notice that it is just second time I see this inaccurate writing in a post by @mananth.
First time I noticed it under link 
https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.432879.html


From these coincidences, and from many other coincidences that I saw, I conclude 
that @mananth is not really a person (not a human), but a computer code (like a very early version 
of an Artificial Intelligence), which generates all the posts/solutions under his nickname.


Simply, for his calculations, he (or it) uses a code with two decimals
for printing real numbers, which produces this permanent error in his posts.



So, similar to as @CPhill was a pseudonym for the AI version of January 2025,
exactly in the same way @mananth is a pseudonym for more earlier (and more primitive) version of AI.


It is a computer code, in short.