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klasskru [66]
3 years ago
12

Emily wants to buy a car. She pays a deposit equal to 20% of the cost of the car. She will pay the balance in 8 equal payments o

f $5460 each month. How much does the car cost
Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer: the cost of the car is $54600

Step-by-step explanation:

Let x represent the cost of the car.

She pays a deposit equal to 20% of the cost of the car. This means that the amount of money that she paid as deposit would be

20/100 × x = 0.2 × x = 0.2x

The remaining balance would be

x - 0.2x = 0.8x

She will pay the balance in 8 equal payments of $5460 each month. This means that

0.8x/8 = 5460

0.1x = 5460

Dividing the left hand side and the right hand side of the equation by 0.1, it becomes

0.1x/0.1 = 5460/0.1

x = 54600

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3 0
3 years ago
Another house is sold for £283,392
Dmitry_Shevchenko [17]

Answer:

the price paid is  £288,000

Step-by-step explanation:

The computation of the price paid is shown below:

Sale of the another house is £283,392

Since the another house would be 1.6% less than the price paid

So, the price paid would be

=  £283,392 × 100 ÷ (100 - 1.6%)

=  £283,392 × 100 ÷ 98.4

=  £288,000

Hence, the price paid is  £288,000

8 0
2 years ago
If logb3=0.23 and logb8=0.71, find logb24
prohojiy [21]
Change logb24 into logb(8*3).
Next use the product rule to rewrite logb(8*3) as a sum.
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Now substitute the values given.
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0.94
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3 years ago
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5 0
3 years ago
Factor, show all steps. x2 – 16x + 64 = 0
lora16 [44]

x^2-16x+64=0

Method 1.

Use (a-b)^2=a^2-2ab+b^2

x^2-2\cdot x\cdot8+8^2=0\\\\(x-8)^2=0\\\\(x-8)(x-8)=0

Method 2.

x^2-8x-8x+64=0\\\\x(x-8)-8(x-8)=0\\\\(x-8)(x-8)=0

The solution to this equation is the number 8

8 0
3 years ago
Read 2 more answers
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