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3 years ago

27 divided by 55 using long division (please show work) HELP

Mathematics

1 answer:

guapka [62]3 years ago

5 0

27 divided by 55= 0.490909 repeating
Step by Step Explanation:
picture below

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What is the equivalent fraction of 4/10?

VashaNatasha [74]

Divide both sides by 2.
2/5
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3 years ago

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Solve the given initial-value problem. y'' + 9y = 0, y(0) = 6, y'(0) = −3

Taya2010 [7]

I believe it's y'(0)=-3

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4 years ago

Lisa took out a loan for 5 months and was charged simple interest at an annual rate of 4.8%.

denis-greek [22]

Answer:

<em>Lisa borrowed $8,500</em>

Step-by-step explanation:

<u>Simple Interest </u>

Occurs when the interest is calculated on the original principal of a loan only.

Unlike compound interest where the interest earned in the compounding periods is added to the old principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=Prt

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Lisa took out a loan for t=5 months and was charged simple interest at an annual rate of r=4.8% = 0.048. She paid interest for I=$170.

We need to convert the time to years (there are 12 months per year):

t = 5 /12 years.

The formula must be solved for P:

$\displaystyle P=\frac{I}{rt}$

Substituting:

$\displaystyle P=\frac{170}{0.048*5/12}$

$\displaystyle P=\frac{170}{0.02}=8,500$

Lisa borrowed $8,500

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3 years ago

A school dance committee is made up of 2 freshman, 4 sophomores, 2 juniors, and 2 seniors.

qaws [65]

Answer:

4 and 6.

Step-by-step explanation:

There are 4 different grades represented, so for the first question, there are 4 ways that the students can sit if they must sit together by grade.

For the second question, there are 3 grades other than senior level, so it starts with 3 ways that the students can be seated. 3 ways x 2 students per way = 6 ways

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3 years ago

Kelly deposits $3,000 at a rate of 5.2% compounded quarterly. With no additional deposits or withdrawals, what is the account ba

lorasvet [3.4K]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to 5.2\%\to \frac{5.2}{100}\to &0.052\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &10
\end{cases}
\\\\\\
A=3000\left(1+\frac{0.052}{4}\right)^{4\cdot 10}\implies A=3000(1.013)^{40}
\\\\\\
A\approx 5029.201878874637$

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3 years ago

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