\(\text{www.the}\beta\text{etafunction.com}\)
Home
Login
Questions: Algebra BusinessCalculus

Please login to create an exam or a quiz.

Business
Finance
New Random

The future value of an investment is $38938.20 dollars. If it is invested at 1.8% simple interest for 15 years, what is the present value?


Using \(\displaystyle FV = PV(1+r \cdot t) \iff PV = \frac{FV}{1+rt}\). Evaluating the formula gives \(\displaystyle PV = \frac{38938.2}{1 + (0.018)(15)} = 30660.00\).

Download \(\LaTeX\)

\begin{question}The future value of an investment is \$38938.20 dollars. If it is invested at 1.8\% simple interest for 15 years, what is the present value? 
    \soln{9cm}{Using $FV = PV(1+r \cdot t) \iff PV = \frac{FV}{1+rt}$. Evaluating the formula gives $PV = \frac{38938.2}{1 + (0.018)(15)} = 30660.00$. }

\end{question}

Download Question and Solution Environment\(\LaTeX\)
\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}
HTML for Canvas
<p> <p>The future value of an investment is &#36;38938.20 dollars. If it is invested at 1.8&#37; simple interest for 15 years, what is the present value? </p> </p>
HTML for Canvas
<p> <p>Using  <img class="equation_image" title=" \displaystyle FV = PV(1+r \cdot t) \iff PV = \frac{FV}{1+rt} " src="/equation_images/%20%5Cdisplaystyle%20FV%20%3D%20PV%281%2Br%20%5Ccdot%20t%29%20%5Ciff%20PV%20%3D%20%5Cfrac%7BFV%7D%7B1%2Brt%7D%20" alt="LaTeX:  \displaystyle FV = PV(1+r \cdot t) \iff PV = \frac{FV}{1+rt} " data-equation-content=" \displaystyle FV = PV(1+r \cdot t) \iff PV = \frac{FV}{1+rt} " /> . Evaluating the formula gives  <img class="equation_image" title=" \displaystyle PV = \frac{38938.2}{1 + (0.018)(15)} = 30660.00 " src="/equation_images/%20%5Cdisplaystyle%20PV%20%3D%20%5Cfrac%7B38938.2%7D%7B1%20%2B%20%280.018%29%2815%29%7D%20%3D%2030660.00%20" alt="LaTeX:  \displaystyle PV = \frac{38938.2}{1 + (0.018)(15)} = 30660.00 " data-equation-content=" \displaystyle PV = \frac{38938.2}{1 + (0.018)(15)} = 30660.00 " /> . </p> </p>