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VashaNatasha [74]
3 years ago
10

Pens cost 15 pence each.

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0

Answer:

The amount the school pays is £32.40

Step-by-step explanation:

The cost of each pen = 15 pence

The cost of each ruler = 20 pence

The number of pens bought by the school = 150

The number of rulers bought by the school = 90

The cost reduction (discount) on the items bought = 1/5

Therefore, we have;

The total cost of the pens bought by the school = 150 × 15 = 2250 = £22.50

The total cost of the rulers bought by the school = 90 × 20 = 1800 = £18.00

The total cost of the writing materials (rulers and pens) bought by the school = £22.50 + £18.00 = £40.50

The discount = 1/5 total cost reduction = 1/5×£40.50  = $8.10

The amount the school pays = The total cost of the writing materials - The discount

The amount the school pays = £40.50 - $8.10 =  £32.40

The amount the school pays =  £32.40.

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Let f(x)=(x-2)^3+8 Find the inverse of f(x). Please show steps in written form would be gladly appreciated
Tatiana [17]

Hello from MrBillDoesMath!

Answer:

(x-8)^(1/3) +2

Discussion:

To find the inverse of a function swap the values of x and y in the original equation y = (x-2)^3 +8  and solve for y.

y = (x-2)^3 +8          =>  original function. swap x and y values

x = (y-2)^3 + 8        =>  subtract 8 from both sides

x - 8  = (y -2)^3        =>  take cube root of both sides

(x-8)^(1/3) = y - 2     => add 2 to both sides

(x-8)^(1/3) +2 = y      => y is the inverse



Thank you,

MrB

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3 years ago
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The cost of the five most popular items at an airport gift shop include a $12.99 decorative mug, a $2.99 postcard, a $3.49 keych
Leno4ka [110]

Exchange rate refers value of a currency in another.The cost of the decorative mug is 83.98 China Yuan.

<h3>What is the exchange  rate?</h3>

The term exchange rate has to do with the value of a currency in another currency. Given the fact that international trade is the mainstay of the global economy, it is important that one currency should be converted to another for the purpose of the ease of doing business.

The dollar is often the international currency for trade. Its us always necessary to convert the dollar into the local currency of the country where the business is done using the correct exchange rate.

Now If I want to convert the cost of the decorative mug to China Yuan;

I already know that;

1 US dollar =  6.4651 China Yuan

12.99 US dollar = 12.99 US dollar  * 6.4651 China Yuan/1 US dollar

= 83.98 China Yuan

Hence, the cost of the decorative mug is 83.98 China Yuan.

Learn more about exchange rate:brainly.com/question/22996931

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