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dedylja [7]
2 years ago
13

What is m if 4÷ (5m^2) = (9÷m) + (2÷ 10m)

Mathematics
1 answer:
seraphim [82]2 years ago
7 0

Good evening Brainiac


4/5m^2 = 9/m + 2/10m

4/5mm = 9/m + 2/10m

Now we should multiply all terms by mm and cancel

So we'll have

4/5 = 9m+2m/10

4/5 = 46/5 m

Now flip the equation so we can feel more comfortable with the side

46/5 m = 4/5

m= 2/23


I hope that's help:)

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Find all numbers such that three times the number is greater than eight less than the number.
klio [65]

Answer:

ALL SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.

Step-by-step explanation:

Here, assume such number = m

Now, given :

3 times the number = 3 x ( m) = 3 m

8 less than the given number =  m - 8

Now, according to the question:

3 times the number  > 8 less than the given number

or, 3 m > m - 8

or, 3m  - m > m - 8 + m

or, 2  m > - 8

or, m > - 4

Hence, all SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.

6 0
3 years ago
The diagram is not drawn to scale
Firlakuza [10]

Answer:

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6 0
2 years ago
Businesses deposit large sums of money into bank accountsImagine an account with $10 million dollars in it.
adoni [48]

again, let's assume daily compounding means 365 days per year.

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (10000000)(0.0212)(1)\implies \boxed{I=212000}

~~~~~~ \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}\dotfill &\$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\dotfill &1 \end{cases}

A=10000000\left(1+\frac{0.0212}{365}\right)^{365\cdot 1}\implies A\approx 10214256.88 \\\\\\ \underset{\textit{earned interest amount}}{10214256.88~~ - ~~10000000 ~~ \approx ~~ \boxed{214256.88}}

what's their difference?  well

\stackrel{\textit{compounded daily}}{\approx 214256.88}~~ - ~~\stackrel{\textit{simple interest}}{212000}\implies \boxed{2256.88}

7 0
1 year ago
12.38 in expanded form
vitfil [10]
12.38 in expanded form is write like:-

10 + 2 + .3 + .08 = 12.38

To write a number in expanded form just means to write the number in a layout and when you add it up it will become the number you needed to write in expanded form. 

So, 12.38 written in expanded form is:- 10 + 2 + .3 + 0.8

Hope i helped ya!! 
4 0
3 years ago
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tigry1 [53]
5 x 2000 = 10,000 + 5 = 10,005
4 0
1 year ago
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