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3 years ago

Please the the working. A car bought for $200 and sold for $250, what was the percentage gain of the cost price?

Mathematics

1 answer:

Vesna [10]3 years ago

6 0

9514 1404 393

Answer:

25%

Step-by-step explanation:

A percentage change is calculated using the formula ...

pct change = ((new value) - (old value))/(old value) × 100%

For your numbers, this is ...

pct change = (250 -200)/200 × 100% = 50/200×100% = 25%

The selling price was 25% more than the cost price.

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1)a chord of length 18cm midway the radius of a circle. calculate the radius of the circle correct to 1d.p. 2)if two parallel ch

kykrilka [37]

Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle.

Thus, half the angle formed by the chord at the centre of the circle is given by:

$\cos\theta=\frac{\left( \frac{1}{2} r\right)}{r}= \frac{1}{2} \\ \\ \Rightarrow\theta=\cos^{-1}\left( \frac{1}{2} \right)=60^o$

Now,

$\sin60^o= \frac{9}{r} \\ \\ \Rightarrow r= \frac{9}{\sin60^o} =10.392$

Therefore, the radius of the circle is 10.4 cm to 1 d.p.

Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

$\sin\theta= \frac{4}{10} = \frac{2}{5} \\ \\ \theta=\sin^{-1}\left( \frac{2}{5} \right)=23.6^o$

Now,

$\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm$

Part 2II:

Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

$\sin40^o= \frac{y}{10} \\ \\ \\ \Rightarrow y=10\sin40^o=6.428$

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.

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3 years ago

What is a sign of a rational number?

Oliga [24]

the answer is Q (or q)

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3 years ago

Whats the common difference?

Stells [14]

Answer: The common difference is 8

Step-by-step explanation:

First Use the formula for the second to generate the first two numbers.

$u_{n}$ = 2^3n-2

Put in 1 for the first term and you will get 2 and the second term is 16 and to get from 2 to 16 you will multiply by 8.

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3 years ago

You choose a letter at random from the alphabet. What is the probability you choose one of the letters in “Math”?

blagie [28]

The answer is C (4/26)

Explanation:

Number of unique letters in MATH = 4
Number of letters in the alphabet = 26

P(Getting a letter from MATH) = 4/26 = 2/13

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2 years ago

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Elijah waited until June u,2017 to file his 1040 for tax year 2016. His balance due is $88. What is the failure to file penalty?

Ad libitum [116K]

The failure to file penalty refers to the amount of money that a tax payer has to pay as penalty for not filing his tax before the assigned deadline. The failure to pay penalty is 0.5% of the tax balance that is owned per month.
Thus, for Elijah, who is owning $88, the failure to pay penalty is 0.5% *88 = $0.44.
Elijah has to pay $0.44 per month for the period during which he withhold the tax.

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3 years ago