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faust18 [17]
3 years ago
11

1. James buys a video game for his Xbox for $49.99, a controller for $34.95, and a walk through manual for $19.99. The sales tax

in his area is 8.25%. What will be the total cost of his purchase?
Mathematics
2 answers:
Oksana_A [137]3 years ago
6 0
49.99+34.95+19.99=104.93. 104.93*.0825=8.66, 104.93+8.66=113.59

$113.59 is the total cost with tax.
JulijaS [17]3 years ago
5 0
Hello!

Let's do this step by step.

First, add up the costs of the Xbox, controller, and the walk through manual.

49.99 + 34.95 + 19.99 = 104.93

The total cost of the three items (not including tax) is $104.93.

Sales tax is a tax paid on goods and services, which means it would be added onto the purchase.

To calculate the sales tax, convert the percentage of tax to a decimal, and then multiply the cost of the goods by the decimal, and finally add the two together.

8.25% ÷ 100 = 0.0825

104.93 × 0.0825 = 8.656725

Add the tax to the cost of the items:

104.93 + 8.656725 = 113.586725

This can be rounded to 113.6 to the nearest tenth.

ANSWER:

The cost of James' total purchase will be $113.6.

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A shop sells fence panels with a wooden frame going all the way round each panel. The price of each panel is based on the area o
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Answer:

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

Step-by-step explanation:

Let the price of 1 sq.m. of fence panel be x

Let the price of 1 m of wooden frame be y

In Fig 1

Length = 4 m

Breadth = 3 m

Area =Length \times breadth = 4 \times 3 = 12 sq.m.

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(4+3)=14 m

Cost of 1 m of wooden frame = y

Cost of 14 m of wooden frame = 14y

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So. 12x+14y=38 ----1

In Fig 2

Length = 6 m

Breadth = 2 m

Area =Length \times breadth = 6 \times 2 = 12 sq.m.

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(6+2)=16 m

Cost of 1 m of wooden frame = y

Cost of 16 m of wooden frame = 16y

We are given that total cost of framing and fencing is 40

So. 12x+16y=40---2

Substitute the value of 12x form 1 in 2

38-14y+16y=40

2y=2

y=1

Substitute the value of y in 2

12x+16=40

12x=24

x=2

So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1

In fig 3

To verify :

Length = 3 m

Breadth = 5 m

Area = Length \times breadth = 3 \times 5 = 15 sq.m.

Cost of 1 sq.m. = 2

Cost of 12 sq.m. =15 \times 2 = 30

Perimeter =2(l+b)=2(3+5)=16 m

Cost of 1 m of wooden frame = 1

Cost of 16 m of wooden frame = 16

So, Total cost = 30+16=46

We are given that cost of fencing and framing is 46

Thus verified

Hence

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b) I metre of wooden frame costs: £1

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