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sineoko [7]
3 years ago
15

The price for a TV was decreased by 20% and then by 10%. By what percent was the new price lower than the original?

Mathematics
1 answer:
Finger [1]3 years ago
7 0
Let's say the tv was 100$ . Reduced by 20% means the tv is now 100 - 20 = 80% of the original price.

0.8(100) = 80$
Reduced again; by 10% means that it is now 100-10 = 90% of the 80$
0.9(80) = 72$

sale price ÷ original price

72$ / 100$ = 0.72 which is 72% of the original price. Which is a mark down of:
100 - 72 = 28%

The new price is 28% lower than the original price.

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Answer:

the length of DB is 17 in

Step-by-step explanation:

Consider the sketch attached.

We will draw an imaginary line from point C to met line AB at point E.

A right-angled triangle will now be formed between points CBE.

The dimensions of the right-angled triangle will be:

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CE= 8 in

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We will now proceed to find out the length of side EB using the Pythagoras' theorem.

EB =\sqrt{CB^2 -CE^2} \\EB =\sqrt{10^2 -8^2} \\EB = 6 in

From the shape, we can find out that another right-angled triangle is made between points DAB.

The dimensions of the triangle are:

DA= 8in

AB = 9 in + 6 in = 15 in

DB = unknown.

We will now proceed to find out the length of side DB using the Pythagoras' theorem.

DB =\sqrt{AD^2 +AB^2} \\DB =\sqrt{8^2 +15^2} \\DB = 17 in

Therefore, the length of DB is 17 in

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Step-by-step explanation:

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Step-by-step explanation:

To get a perpendicular equation to another equation, the slope must be the reciprocal of it.

First, you need to isolate the y variable so you can identify the slope.

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Divide both sides by 12 (and for me I like to keep x close to y).

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Now that we have converted it to y=mx+b, we can compare. The reciprocal of 1/3 is 3.

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Step-by-step explanation:

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