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Lynna [10]
2 years ago
11

Rachel bought 1,500 shares of Cawh Consolidated Bank at a price of $24. 85 each. As the price climbed, she sold off parts of her

holdings. She sold off 250 shares at $28. 32 apiece, she sold 800 of her shares at $33. 60 apiece, and she sold off the remainder of her shares at $39. 94 apiece. If Rachel’s broker charges a commission of $65 per $1,000 of stock bought or sold, how much profit did Rachel make, to the nearest dollar? a. $20,459 b. $51,933 c. $14,661 d. $8,859 Please select the best answer from the choices provided A B C D.
Mathematics
1 answer:
Alexxandr [17]2 years ago
8 0

Answer:

c

Step-by-step explanation:

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(1+tanx)/(sinx+cosx)=secx
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\frac{1+\tan x}{\sin x+\cos x}=\sec x is proved

<h3><u>Solution:</u></h3>

Given that,

\frac{1+\tan x}{\sin x+\cos x}=\sec x  ------- (1)

First we will simplify the LHS and then compare it with RHS

\text { L. H.S }=\frac{1+\tan x}{\sin x+\cos x}  ------ (2)

\text {We know that } \tan x=\frac{\sin x}{\cos x}

Substitute this in eqn (2)

=\frac{1+\frac{\sin x}{\cos x}}{\sin x+\cos x}

On simplification we get,

=\frac{\frac{\sin x+\cos x}{\cos x}}{\sin x+\cos x}

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Cancelling the common terms (sinx + cosx)

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We know secant is inverse of cosine

=\sec x=R . H . S

Thus L.H.S = R.H.S

\frac{1+\tan x}{\sin x+\cos x}=\sec x

Hence proved

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