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Questions: Algebra BusinessCalculus
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A client needs to save $6000 dollars in 3 years. If they invest at \(\displaystyle 5.6\)% compounded monthly, how much do they need to deposit each month?
Using the forumla for present value and solving for \(\displaystyle PMT = \frac{6000\cdot (0.056/12) }{ ((1 + (0.056/12))^{36} -1)} = 153.45\) dollars.
\begin{question}A client needs to save \$6000 dollars in 3 years. If they invest at $5.6$\% compounded monthly, how much do they need to deposit each month?
\soln{9cm}{Using the forumla for present value and solving for $PMT = \frac{6000\cdot (0.056/12) }{ ((1 + (0.056/12))^{36} -1)} = 153.45$ dollars. }
\end{question}
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\begin{document}\begin{question}(10pts) The question goes here!
\soln{9cm}{The solution goes here.}
\end{question}\end{document}<p> <p>A client needs to save $6000 dollars in 3 years. If they invest at <img class="equation_image" title=" \displaystyle 5.6 " src="/equation_images/%20%5Cdisplaystyle%205.6%20" alt="LaTeX: \displaystyle 5.6 " data-equation-content=" \displaystyle 5.6 " /> % compounded monthly, how much do they need to deposit each month?</p> </p>
<p> <p>Using the forumla for present value and solving for <img class="equation_image" title=" \displaystyle PMT = \frac{6000\cdot (0.056/12) }{ ((1 + (0.056/12))^{36} -1)} = 153.45 " src="/equation_images/%20%5Cdisplaystyle%20PMT%20%3D%20%5Cfrac%7B6000%5Ccdot%20%280.056/12%29%20%7D%7B%20%28%281%20%2B%20%280.056/12%29%29%5E%7B36%7D%20-1%29%7D%20%3D%20153.45%20" alt="LaTeX: \displaystyle PMT = \frac{6000\cdot (0.056/12) }{ ((1 + (0.056/12))^{36} -1)} = 153.45 " data-equation-content=" \displaystyle PMT = \frac{6000\cdot (0.056/12) }{ ((1 + (0.056/12))^{36} -1)} = 153.45 " /> dollars. </p> </p>