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Questions: Algebra BusinessCalculus
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A client needs to save $7500 dollars in 7 years. If they invest at \(\displaystyle 4.7\)% compounded monthly, how much do they need to invest today?
Using the forumla for present value \(\displaystyle PV = \frac{7500}{ (1 + (0.047/12))^{84} } = 5400.79\) dollars.
\begin{question}A client needs to save \$7500 dollars in 7 years. If they invest at $4.7$\% compounded monthly, how much do they need to invest today? \soln{9cm}{Using the forumla for present value $PV = \frac{7500}{ (1 + (0.047/12))^{84} } = 5400.79$ dollars. } \end{question}
\documentclass{article} \usepackage{tikz} \usepackage{amsmath} \usepackage[margin=2cm]{geometry} \usepackage{tcolorbox} \newcounter{ExamNumber} \newcounter{questioncount} \stepcounter{questioncount} \newenvironment{question}{{\noindent\bfseries Question \arabic{questioncount}.}}{\stepcounter{questioncount}} \renewcommand{\labelenumi}{{\bfseries (\alph{enumi})}} \newif\ifShowSolution \newcommand{\soln}[2]{% \ifShowSolution% \noindent\begin{tcolorbox}[colframe=blue,title=Solution]#2\end{tcolorbox}\else% \vspace{#1}% \fi% }% \newcommand{\hideifShowSolution}[1]{% \ifShowSolution% % \else% #1% \fi% }% \everymath{\displaystyle} \ShowSolutiontrue \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 $7500 dollars in 7 years. If they invest at <img class="equation_image" title=" \displaystyle 4.7 " src="/equation_images/%20%5Cdisplaystyle%204.7%20" alt="LaTeX: \displaystyle 4.7 " data-equation-content=" \displaystyle 4.7 " /> % compounded monthly, how much do they need to invest today?</p> </p>
<p> <p>Using the forumla for present value <img class="equation_image" title=" \displaystyle PV = \frac{7500}{ (1 + (0.047/12))^{84} } = 5400.79 " src="/equation_images/%20%5Cdisplaystyle%20PV%20%3D%20%5Cfrac%7B7500%7D%7B%20%281%20%2B%20%280.047/12%29%29%5E%7B84%7D%20%7D%20%3D%205400.79%20" alt="LaTeX: \displaystyle PV = \frac{7500}{ (1 + (0.047/12))^{84} } = 5400.79 " data-equation-content=" \displaystyle PV = \frac{7500}{ (1 + (0.047/12))^{84} } = 5400.79 " /> dollars. </p> </p>