Write 3.088 as a mixed number and improper fraction

Mathematics

1 answer:

mixas84 [53]3 years ago

8 0

Answer:

Mixed number-3 and 88/1000 which is simplified to 3 and 11/125

Improper fraction- 386/125

Step-by-step explanation:

<u>Mixed Number</u>

3.088 is read as Three and eighty-eight thousandths. As a fraction we write this as 3 and 88/1000. However, 88/1000 can be simplified. The greatest common factor that will go into 88 and 1000 is 8, so I divide 8 into 88 and get 11, then I divide 8 into 1000 and get 125. Simplified my answer is 3 and 11/125.

<u>Improper Fraction</u>

If I have 3 and 11/125, I will change it to an improper fraction by first multiplying the whole number 3 by the denominator 125. This gives me 375, which I add to the numerator 11 and that gives me 386. I will keep my denominator so my improper fraction will be 386/125.

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Answer:

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Step-by-step explanation:

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2 years ago

If an investment of $3000 grows to $4432.37 in eight years with interest compounded annually , what is the interest rate?

melamori03 [73]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4432.37\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &8
\end{cases}$

$\bf 4432.37=3000\left(1+\frac{r}{1}\right)^{1\cdot 8}\implies \cfrac{4432.37}{3000}=(1+r)^8
\\\\\\
\sqrt[8]{\cfrac{4432.37}{3000}}=1+r\implies \sqrt[8]{\cfrac{4432.37}{3000}}-1=r
\\\\\\
0.0500001086\approx r\qquad\qquad\cfrac{r\%}{100}\approx 0.0500001086
\\\\\\
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