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myrzilka [38]
3 years ago
9

The total cost, in dollars, of 4 pencils and 5 pens if each pencil costs w cents and each pen costs 2w cents

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0
Alrighty, so:
We have 4 pencils and 5 pens.
Pencils cost 2 cents.
Pens cost 2w cents.
The total can be represented as T.
4w+5(2w)=T

This is what I think the answer to your question is. Hope this helps! (:
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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
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Taya2010 [7]

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Step-by-step explanation:

The system of equations given equation is

y = 3x - 2 - - - - - - - - - - 1

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Substituting 1 into equation 2, it becomes

x^2 = 3x - 2

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We would apply the method of factorization in solving the equation. We will get two numbers such that when added, the result would be - 3x and when multiplied, the result would be 2x^2. The numbers are - 2x and - x. It becomes

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7 0
4 years ago
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Answer:

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explanation:

thats it

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