<img src="https://tex.z-dn.net/?f=%5Csqrt%7B18%7D%2B%5Csqrt%7B50%7D" id="TexFormula1" title="\sqrt{18}+\sqrt{50}" alt="\sqrt{18}

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AURORKA [14]

3 years ago

+\sqrt{50}" align="absmiddle" class="latex-formula">

Mathematics

2 answers:

Svetllana [295]3 years ago

8 0

Answer:

8√2

Step-by-step explanation:

Both 18 and 50 are easily factorable, the first as 2*9 and the second as 2*25. Taking the square root of 18 results in 3√2 and that of 50 in 5√2/

Thus, the original problem √18 + √50 simplifies to (3 + 5)√2, or 8√2

KengaRu [80]3 years ago

3 0

$3\sqrt{2} +5\sqrt2}\\=8\sqrt{2}$

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goldfiish [28.3K]

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Step-by-step explanation:

6 0

3 years ago

A person invests $4000 at 2% interest compounded annually for 4 years and then invests the balance (the $4000 plus the interest

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

I need help with number 4!! Please! I didn’t learn this and it is due soon! Thank you

earnstyle [38]

Answer:

$20.63 if you tip on the pre-tax amount

Step-by-step explanation:

You pay $12.99 for the pizza, plus the 8% tax on the pizza, plus the 20% tip of the cost of the pizza, so if you tip on the pre-tax amount, you pay

$12.99(0.08) = $1.04 in sales tax

$12.99(0.2) = $2.60 for the tip

and $4 delivery charge,

so you pay a total of