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3 years ago

What is the value of this expression when n approaches infinity?

Mathematics

2 answers:

Georgia [21]3 years ago

7 0

Answer:

35 I just took the quiz

Step-by-step explanation:

topjm [15]3 years ago

4 0

ANSWER

C. 35

EXPLANATION

The given expression is:

$15 - 35 - \frac{85}{n} + 55 + \frac{75}{2n} + \frac{15}{2 {n}^{2} }$

$n \to \: \infty$

$\frac{k}{n} \to0$

where k is a constant.

This implies that,

$15 - 35 - \frac{85}{n} + 55 + \frac{75}{2n} + \frac{15}{2 {n}^{2} } = 15 - 35 - 0 + 55 + 0+ 0 =35$

The correct answer is C

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3 years ago

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3 years ago

A group of students were given a spelling test the table shows their mark Mark: 6,7,8,9,10 frequency:5,4,7,10,4 a) work out the

____ [38]

Answer:

Step-by-step explanation:

From the information given,

Mark: 6,7,8,9,10

frequency:5,4,7,10,4

a) Range = highest mark - lowest mark

Range = 10 - 6 = 4

b) The number of students in the group is the sum of the frequency. Therefore,

Number of students = 5 + 4 + 7 + 10 + 4 = 30 students

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3 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

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

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1 year ago

Answer please n thank you :)

Norma-Jean [14]

Answer:45

Step-by-step explanation:

6 0

3 years ago