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zloy xaker [14]
4 years ago
10

the sum of a number and six is seven times the number. what is a translation of the sentence into an equation?

Mathematics
2 answers:
choli [55]4 years ago
5 0
"The sum of" means two or more numbers added together.

A number in this case can be represented by the letter 'n' as we don't know the value of the number.

Therefore, the sum of a number and six would be n + 6

Seven times the number would be 7n.

Hence, if they are equal to each other, in equation form it would be:

n + 6 = 7n

If you wanted to go a step further and work out what the number was, you could rearrange the equation:

n + 6 = 7n
6 = 7n - n
6 = 6n
1 = n

The number is 1.
Natalka [10]4 years ago
3 0

The translation of the sentence into a equation would be:

n + 6 x 7 or 7(n + 6)

Hope this helps

-AaronWiseIsBae

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faltersainse [42]
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4000\\
r=rate\to 2\%\to \frac{2}{100}\to &0.02\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &4
\end{cases}
\\\\\\
A=4000\left(1+\frac{0.02}{1}\right)^{1\cdot 4}\implies A=4000(1.02)^4\implies A\approx 4329.73

then she turns around and grabs those 4329.73 and put them in an account getting 8% APR I assume, so is annual compounding, for 7 years.

\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4329.73\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &7
\end{cases}
\\\\\\
A=4329.73\left(1+\frac{0.08}{1}\right)^{1\cdot 7}\implies A=4329.73(1.08)^7\\\\\\ A\approx 7420.396

add both amounts, and that's her investment for the 11 years.
7 0
3 years ago
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