Suppose you rent a car using $19.99 per day $0.17 per mi. write an expression that gives the total cost in dollars to rent a car for d days and m miles. then find the cost for renting a car for 2 days and driving 70 miles.

Suppose you rent a car using $19.99 per day $0.17 per mi. write an expression that gives the total c

Solved

Show answers

Ответ:

keyceebhe7621

06.06.2022

Mathematics

He's 24 right now, and retiring at 65 means 41 years later.

$\bf ~~~~~~~~~~~~\textit{Future Value of an annuity due}\\
~~~~~~~~~~~~(\textit{payments at the beginning of the period})
\\\\
A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)
\\\\
$

$\bf \qquad 
\begin{cases}
A=
\begin{array}{llll}
\textit{accumulated amount}\\
\end{array}
\\
pmt=\textit{periodic payments}\to &200\\
r=rate\to 2.95\%\to \frac{2.95}{100}\to &0.0295\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{they're done monthly, thus}
\end{array}\to &12\\
t=years\to &41
\end{cases}$

$\bf A=200\left[ \cfrac{\left( 1+\frac{0.0295}{12} \right)^{12\cdot 41}-1}{\frac{0.0295}{12}} \right]\left(1+\frac{0.0295}{12}\right)
\\\\\\
A=200\left[ \cfrac{\left( 1 +\frac{59}{24000}\right)^{492}-1}{\frac{59}{24000}}\right]\left(1+\frac{59}{24000}\right)
\\\\\\
A=200\left[ \cfrac{\left( \frac{24059}{24000}\right)^{492}-1}{\frac{59}{24000}}\right]\left(\frac{24059}{24000}\right)\\\\\\A\approx 191398.48860411668565454023$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice