Question 1194163
.
<pre>

Let X be her investment.


Then, if you have necessary pre-requisites for this subject (which I hope you have), you can write an equation


    10000 = {{{X*(1+0.065/4)^(4*5)}}}.


From this equation 


    X = {{{10000/(1+0.065/4)^20}}} = use your calculator = 7244.18  dollars.


<U>ANSWER</U>.  Carmen shoud invest  $7244.18.
</pre>

Solved.


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For all details and explanations, &nbsp;look into these two lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/percentage/lessons/Compound-interest-percentage-problem.lesson>Compounded interest percentage problems</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/logarithm/Problems-on-discretely-compound-accounts.lesson>Problems on discretely compound accounts</A> 

in this site, &nbsp;and learn the subject from there.



After reading these lessons, &nbsp;you will learn all necessary prerequisites and will tackle such problems 
on your own without asking for help from outside.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic "<U>Logarithms</U>".



Save the link to this online textbook together with its description


Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson


to your archive and use it when it is needed.



Happy learning &nbsp;(&nbsp;!&nbsp;)