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BlackZzzverrR [31]
3 years ago
6

The selling price for a classic car is $12,000, which is $500 less than two times its original price. What was the original pric

e of the car?
Mathematics
1 answer:
Rashid [163]3 years ago
6 0

Answer:$6250

Step-by-step explanation:

selling price(sp)=12000

Original price(op)=?

sp+500=2 x op

12000+500=2 x op

12500=2 x op

Divide both sides by 2

12500/2=(2 x op)/2

6250=op

Therefore original price is $6250

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As it continues, the terms get smaller and smaller and the SUM converges on 2000.

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Step-by-step explanation:

Given, Time for the first unit = 50 minutes

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3 years ago
What is 5% of $30?<br>$150<br>$35<br>$1.50<br>$25​
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Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta

Simplify. The denominator uses the difference of two squares pattern:

\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

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Split into two separate fractions:

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Rewrite the two fractions:

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By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

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Hence verified.

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