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damaskus [11]
3 years ago
10

This year Adeele paid £465 for her car insurance. This is an increase of 20% on last year's payment. How much did Adele pay last

year?
Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0

Answer:

Insurance cost (last year)= £387.5

Step-by-step explanation:

Giving the following information:

Insurance cost= £465

Increase growth rate= 20% = 0.2

<u>To calculate the cost of insurance last year, we need to use the following formula:</u>

Insurance cost (last year)= insurance cost / (1 + insurance growth rate)

Insurance cost (last year)= 465 / (1 + 0.2)

Insurance cost (last year)= £387.5

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Compare these data sets. The equation of the trend line is listed below each data set.
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Answer:

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Which number is a solution of the inequality x &lt;-4? Use the number line to help answer the question.
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0 is the answer

Step-by-step explanation:

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3 years ago
In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f
olasank [31]
Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600

Let x =  number of bookshelves built.
Let y =  number of tables built.

The total number of bookshelves and tables =  18.
Therefore
x + y = 18.
 That is,
 y = 18 - x                    (1)

The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120            (2)

Substitute (1) into (2).
4x + 9(18 - x) = 120
4x + 162 - 9x = 120
-5x = -42
  x = 8.4
From (1),obtain
 y = 18 - 8.4 = 9.6

Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit

Note: The profit is $60 per bookshelf and $100 per table.
If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 =  $1480

If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440

The choice of 8 bookshelves and 10 tables is more profitable.

Answer: 8 bookshelves and 10 tables.
5 0
3 years ago
Hey can some one help me with this
Leno4ka [110]
Hello!

First you have to find the surface area of what he is painting

Finding the areas of all the rectangles he is painting

14 * 8 = 112
14 * 8 = 112
12 * 8 = 96
12 * 8 = 96
12 * 14 = 168

Add all these up

112 + 112 + 96 + 96 + 168 = 584

Divide this by the amount of area a pint of paint covers

584 / 90 = 6.4888...

He needs 7 pints of paint because he needs more than 6

Multiply this by the cost of 1 pint of pint

7 * 7.98 = 55.86

The answer is $55.86

Hope this helps!
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Answer:

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