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3 years ago

15

Work out the percentage change to 2 decimal places when a price of £99 is increased to £111.

1 answer:

Basile [38]3 years ago

6 0

Answer:

0.12

Step-by-step explanation:

The percentage change formula depends if the price goes up or down. Since this goes up, we have the positive percentage change formula. This is $\frac{ a_n - a_1}{a_1}$ where $a_n$ is the new price and $a_1$ is the original price. Plugging in our values, we get $\frac{111-99}{99} = \frac{12}{99} = 0.\overline{12}$ . Since this is to two decimal places we get 0.12 as our answer.

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Leona [35]

He’s correct good job!

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3 years ago

S+f=24 s=3f<br><br> I need this now

scoundrel [369]

Answer:

f=6 and s=18

Step-by-step explanation:

Let's solve your system by substitution.

s+f=24;s=3f

Rewrite equations:

s=3f;f+s=24

Step: Solves=3ffor s:

s=3f

Step: Substitute3fforsinf+s=24:

f+s=24

f+3f=24

4f=24(Simplify both sides of the equation)

4f

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=

24

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(Divide both sides by 4)

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Step: Substitute6forfins=3f:

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s=18(Simplify both sides of the equation)

Answer:

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3 years ago

Find the distance between (-5,-6) and (-3,-8 WILL GIVEBRANLIEST TO FIRST PERSON WHO AWNSES WITH EXPLANATION

Vlada [557]

Answer:

d = √8

d ≈ 2.82843

Step-by-step explanation:

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Simply plug in our coordinates into the distance formula:

$d = \sqrt{(-3 + 5)^2+(-8 + 6)^2}$

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8 0

3 years ago

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wolverine [178]

Answer: 43.07

Step-by-step explanation:

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2 years ago

After calculating the sample size needed to estimate a population proportion to within 0.05, you have been told that the maximum

Svetlanka [38]

Answer: 40000

Step-by-step explanation:

The formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$ , where p is the prior estimate of the population proportion.

Here we can see that the sample size is inversely proportion withe square of margin of error.

i.e. $n\ \alpha\ \dfrac{1}{E^2}$

By the equation inverse variation, we have

$n_1E_1^2=n_2E_2^2$

Given : $E_1=0.05$ $n_1=1000$

$E_2=0.025$

Then, we have

$(1000)(0.05)^2=n_2(0.025)^2\\\\\Rightarrow\ 2.5=0.000625n_2\\\\\Rightarrow\ n_2=\dfrac{2.5}{0.000625}=4000$

Hence, the sample size will now have to be 4000.

6 0

2 years ago