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Tomtit [17]
3 years ago
15

*REVERSE PROPORTION*

Mathematics
1 answer:
muminat3 years ago
5 0

9514 1404 393

Answer:

  33.3%

Step-by-step explanation:

The selling price of £42 is (1 +40%) times the total purchase price.

  1.40 × purchase price = £42

  purchase price = £42/1.40 = £30

The total profit is 40% of this, so is ...

  £30 × 40% = £12

The purchase price of the skirt is ...

  total cost - glove cost = skirt cost = £30 -3 = £27

The profit on the skirt is ...

  total profit - glove profit = skirt profit = £12 -100% × £3 = £9

Then the percentage profit on the skirt is ...

  skirt profit % = skirt profit / skirt cost × 100% = £9/£27 × 100% = 33.3%

The percentage profit on the cost of the skirt was 33.3%.

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Alex invests £3045 into an account that pays 2.25% compound interest per year.
Inessa [10]
<h2>○=> <u>Correct answer</u> :</h2>

Money in Alex's account after 16 years = \boxed{\bold{\color{plum}£4347.11}}

<h3>○=> <u>Steps to derive correct answer</u> :</h3>

Money invested by Alex = £3045

Percentage of compound interest per annum = 2.25%

We know that :

\tt \: \color{hotpink}A \color{plum} = P {(1 +  \frac{r}{n} )}^{nt}

In this case :

Principal = £3045

Rate = 2.25% = 0.0025

Number of times interest is compounded per year = 1

Time = 16 years

Which means :

Money Alex will have in the account after 16 years :

= \tt3045 ({1 + \frac{ 0.0025}{1} })^{16}

\color{plum}= \tt  £4347.11

Therefore, the money in Alex's account after 16 years = £4347.11

8 0
3 years ago
Help me plz i need it
ycow [4]
4.Answer is $2.55
5.Answer is $32.01
7 0
3 years ago
What is the inverse of f(x) = 1/3 x +2
Elanso [62]

Answer:

The inverse of this function is f(x) = 3x - 6.

You can find the inverse of any function by switching the f(x) and x values. Once you've done that, solve for the new f(x). The result will be the inverse function. The step-by-step process is below.

f(x) = 1/3x + 2 ---> Switch f(x) and x values

x = 1/3f(x) + 2 ---> Subtract 2 from both sides

x - 2 = 1/3f(x) ----> Multiply both sides by 3

3(x - 2) = f(x) ----> Distribute the 3

3x - 6 = f(x) ----> Place in the proper order for formatting purposes

f(x) = 3x - 6

And that is your inverse function.

Step-by-step explanation:

7 0
3 years ago
What is the answer to 2x - 10 &lt;14?
patriot [66]
Solving step by step

4 0
3 years ago
7/3 of y is 5 5/6<br> pls solve!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Ira Lisetskai [31]

Answer:

<em>2.5</em>

Step-by-step explanation:

\frac{7}{3} y = 5\frac{5}{6}

<em>y</em> = \frac{35}{6} ÷ \frac{7}{3} = \frac{35}{6} × \frac{3}{7} = \frac{5}{2} = <em>2.5</em>

3 0
3 years ago
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