Question 1180736
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This problem can be solved using numerical methods,  that give approximate solution quickly with appropriate precision.



I solved similar problems.



See the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Sequences-and-series/Solved-problem-on-Ordinary-Annuity-saving-plans.lesson>Solved problems on Ordinary Annuity saving plans</A>, &nbsp;Problem 8

in this site.



I used free of charge &nbsp;ONLINE &nbsp;SOLVER &nbsp;at this web-site


https://www.wolframalpha.com/widgets/view.jsp?id=a7d8ae4569120b5bec12e7b6e9648b86



Yes, this solver does trial and errors, but it is highly professionally organized search with using 
all contemporary advanced computational technologies for finding the roots of non-linear functions.



So, you can repeat my experience . . . 



At the end, &nbsp;you may inform me about your progress and about your results.


It would be interesting for me to hear from you.



Happy calculations &nbsp;(!)