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3 years ago

6

A) Factorise a^2 - b^2

1 answer:

Vadim26 [7]3 years ago

7 0

Answer:

a·a-b·b

Step-by-step explanation:

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A business was valued at £80000 at the start of 2013. In 5 years the value of this business raised to £95000. this is equivalent

Yuri [45]

the yearly increase of x% assumes is compounding yearly, so let's use that.

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\£95000\\ P=\textit{original amount deposited}\dotfill &\£80000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}$

$95000=80000\left(1+\frac{~~ \frac{r}{100}~~}{1}\right)^{1\cdot 5}\implies \cfrac{95000}{80000}=\left( 1+\cfrac{r}{100} \right)^5 \\\\\\ \cfrac{19}{16}=\left( 1+\cfrac{r}{100} \right)^5\implies \sqrt[5]{\cfrac{19}{16}}=1+\cfrac{r}{100}\implies \sqrt[5]{\cfrac{19}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[5]{\cfrac{19}{16}}=100+r\implies 100\sqrt[5]{\cfrac{19}{16}}-100=r\implies 3.5\approx r$

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2 years ago

The cost to enter the fair is $9. Ride cost $5 each write the equation to represent this problem

Llana [10]

Answer:

9+5x=t

Step-by-step explanation:

8 0

3 years ago

In a recent year, grade 8 Washington State public school students taking a mathematics assessment test had a mean score of 281 w

sweet-ann [11.9K]

Answer:

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = 0.0217

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Mean of the Population (μ) = 281

Standard deviation of the Population = 34.4

Let 'X' be a random variable in Normal distribution

Given X = 290

$Z = \frac{x -mean}{\frac{S.D}{\sqrt{n} } } = \frac{290-281}{4.44} = 2.027$

<u><em>Step(ii):-</em></u>

<em> The probability that the mean test score is greater than 290</em>

P(X⁻ > 290 ) = P( Z > 2.027)

= 0.5 - A ( 2.027)

= 0.5 - 0.4783

= 0.0217

The probability that the mean test score is greater than 290

P(X⁻ > 290 ) = 0.0217

6 0

3 years ago

Who makes faces all day long DUE AT 8:30 PLZZZZZZ

sveta [45]

Answer:

The answer to this joke is a clockmaker.

Step-by-step explanation:

The math is just finding volume. You are asking for just the answer correct?

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3 years ago

Which graph represents (x,y)-pairs that make the equations y= 0.5x true?

tatyana61 [14]

Answer:

Option C

Step-by-step explanation:

To find the corresponding graph substitute values of $x$ .

The graph is: $y = \frac{1}{2} x$ . Substitute $x = 2$ .

We get: $y = \frac{1}{2} (4) = 2$ . In the graphs only in Option C, $y = 2$ when $x = 4$ .

3 0

3 years ago