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Evgen [1.6K]
3 years ago
7

The sum of two digit numbers is 14 when you reverse its digits you increase the number by 36 what is the number

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0
10x+y = 10y+x +36
x+y=14

9x-9y=36
x-y=4

x= 14-y
14-2y==4
10=2y
y=5
x=9
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The savings account offering which of these APRs and compounding periods offers the best APY?
ANTONII [103]
A)

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\left.  \qquad \qquad\right. \left(1+\frac{r}{n}\right)^{n}-1
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\begin{cases}
r=rate\to 3.1196\%\to \frac{3.1196}{100}\to &0.031196\\
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\begin{array}{llll}
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\left.  \qquad \qquad\right. \left(1+\frac{0.031196}{2}\right)^{2}-1

b)

\bf \qquad  \qquad  \textit{Annual Yield Formula}
\\\\
\left.  \qquad \qquad\right. \left(1+\frac{r}{n}\right)^{n}-1
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\begin{cases}
r=rate\to 3.1184\%\to \frac{3.1184}{100}\to &0.031184\\
n=
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\textit{quarterly, thus four times}
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\\\\\\
\left.  \qquad \qquad\right. \left(1+\frac{0.031184}{4}\right)^{4}-1

c)

\bf \qquad  \qquad  \textit{Annual Yield Formula}
\\\\
\left.  \qquad \qquad\right. \left(1+\frac{r}{n}\right)^{n}-1
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\begin{cases}
r=rate\to 3.1095\%\to \frac{3.1095}{100}\to &0.031095\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{daily, assuming 365 days}
\end{array}\to &365
\end{cases}
\\\\\\
\left.  \qquad \qquad\right. \left(1+\frac{0.031095}{365}\right)^{365}-1

d)

\bf \qquad  \qquad  \textit{Annual Yield Formula}
\\\\
\left.  \qquad \qquad\right. \left(1+\frac{r}{n}\right)^{n}-1
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\begin{cases}
r=rate\to 3.1172\%\to \frac{3.1172}{100}\to &0.031172\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, thus twelve times}
\end{array}\to &12
\end{cases}
\\\\\\
\left.  \qquad \qquad\right. \left(1+\frac{0.031172}{12}\right)^{12}-1
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Hunter-Best [27]
Albert´s ftather age=x
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We suggest this system of equations:
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we solve this system of equation by substitution method.

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Answer: Albert´s father is 40 years old, and Albert is 16 years old.


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Furkat [3]

1.<em> no solution</em>

2.<em> one solution</em>

3.<em> infinitely many solutions</em>

4. <em>infinitely many solutions</em>

5.<em> no solution</em>

6.<em> one solution</em>

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