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Elodia [21]
3 years ago
8

A car dealer paid a certain price for a car and marked it up byt 7/5 of the price he paid. Later he sold it for 24000. What is t

he original price ?
Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Answer: The original price wil be 10000.

Step-by-step explanation:

Let the original price be x

Let the marked price be given by

\frac{7}{5}\times x+x=\frac{12x}{5}

so,

According to the question,

\frac{12x}{5}=24000\\\\x=\frac{24000\times 5}{12}\\\\x=10000

so, the original price will be 10000.


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Step-by-step explanation:

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5 0
4 years ago
Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin&lt;0
Gre4nikov [31]

Answer:

Using trigonometric ratio:

\sec \theta = \frac{1}{\cos \theta}

\tan \theta = \frac{\sin \theta}{\cos \theta}

From the given statement:

\cos \theta = -\frac{4}{5} and sin < 0

⇒\theta lies in the 3rd quadrant.

then;

\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}

Using trigonometry identities:

\sin \theta = \pm \sqrt{1-\cos^2 \theta}

Substitute the given values we have;

\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}

Since, sin < 0

⇒\sin \theta = -\frac{3}{5}

now, find \tan \theta:

\tan \theta = \frac{\sin \theta}{\cos \theta}

Substitute the given values we have;

\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}

Therefore, the exact value of:

(a)

\sec \theta =-\frac{5}{4}

(b)

\tan \theta= \frac{3}{4}

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4 years ago
What is the polar form of z?
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Answer:

A

Step-by-step explanation:

edge

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3 years ago
Read 2 more answers
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