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stellarik [79]
2 years ago
10

Businesses deposit large sums of money into bank accountsImagine an account with $10 million dollars in it.

Mathematics
1 answer:
adoni [48]2 years ago
7 0

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}

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2 years ago
Louis bought a burger and soda for $8. Kate purchased a slice of pizza and soda for $9. Biff purchased a burger, a slice of pizz
Arte-miy333 [17]

The equation for Louis's purchase is: x+y=8

The equation for Kate's purchase is: y+z=9

The equation for Biff's purchase is: x+y+z=13.50

Step-by-step explanation:

First of all we have to define variables for each item involved in the purchase

Let x represent burger

y represent soda

z be the slice of pizza

Then

"Louis bought a burger and soda for $8"

x+y=8

"Kate purchased a slice of pizza and soda for $9"

y+z=9

"Biff purchased a burger, a slice of pizza and a soda for $13.50"

x+y+z=13.50

The equation for Louis's purchase is: x+y=8

The equation for Kate's purchase is: y+z=9

The equation for Biff's purchase is: x+y+z=13.50

Keywords: Linear Equations, Variables

Learn more about Linear equations at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

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3 years ago
What is the area of this figure?​
Kipish [7]

Answer:

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Step-by-step explanation: hope this helps

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FrozenT [24]

Answer:

Step-by-step explanation:

L(x) means that Student X has an internet connection

C(x,y) means that students X and Y have chatted over the internet

The domain for variables X and Y comprise all students in your class. We now use quantifiers or algebraic functions to express each of the statements:

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C(x,y) = 0

Where X and Y represent Rachel and Chelsea

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Where X and Y represent Jan and Sharon. If they have NEVER chatted over (the question didn't say they have never "with each other", it says they have never chatted at all) the internet, then they've probably never had an internet connection!

(D) No one in the class has chatted with Bob

Let Y represent Bob and X1, X2, ..., Xn represent everyone else in the class.

The value of Y is not significant here (because it is raised to the power of zero and that makes it equal to 1 and when 1 is multiplied by any X value, the X value or student remains the same) but we have to put it, to represent Bob.

The quantifier here is C (X1Y°, X2Y°, X3Y°, ..., XnY°)

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