$\bf tan(68^o)=\cfrac{\stackrel{opposite}{1.5}}{\stackrel{adjacent}{x}}\implies x=\cfrac{1.5}{tan(68^o)}\implies x\approx 0.61 \\\\[-0.35em] ~\dotfill\\\\ tan(56^o)=\cfrac{\stackrel{opposite}{1.5}}{\stackrel{adjacent}{w}}\implies w=\cfrac{1.5}{tan(56^o)}\implies w\approx 1.01 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{width of the crater}}{x+w\implies 1.62}~\hfill$

6 0

3 years ago

ABC Bank offers a savings account of 4.5% compounded quarterly. Find the APY the bank’s savings account offers

charle [14.2K]

$\bf ~~~~~~~~~~~~ \textit{Annual Yield Formula}
\\\\
~~~~~~~~~~~~ \left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 4.5\%\to \frac{4.5}{100}\to &0.045\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4
\end{cases}
\\\\\\
\left(1+\frac{0.045}{4}\right)^{4}-1\implies 1.01125^4-1~~\approx~~ 0.045765
\\\\\\
0.045765\cdot 100~~\approx~~ \stackrel{\%}{4.58}$

4 0

3 years ago

How many inches are needed to represent 24 feet

SVETLANKA909090 [29]

Answer:

well what is 12 times 24 288 inches to get 24 feet

Step-by-step explanation:

12 times 24 is 288

enjoy

6 0

3 years ago

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