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3 years ago

10

Mr. Hall deposited money into an account in which interest is compounded quarterly at a rate of 2.6%. How much did he deposit if

the total amount in his account after 4 years was $7160.06, and he made no other deposits or withdrawals?

1 answer:

Amanda [17]3 years ago

8 0

The formula of this equation would be $x_{0}$ * 1.026^16 = 7,160.06
So from this equation we know that $x_{0} = \frac{7,160.06}{1.026^{16} }$
Now we need to find the value of x, we need to multiply $x_{0}$ * 1.026 16 times. Which will bring us to your answer. $4,748.53

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If cos⁡ x=−45, and 180° < x < 270°, what is tan⁡(2x)?

iVinArrow [24]

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<u>Step-by-step explanation:</u>

Here we have , cos x = -4/5 ( corrected as given -45 which is not possible ) ,

180° < x < 270° i.e. in third quadrant . We need to find tan⁡(2x) . Let's find out:

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⇒ $Tan\alpha = \frac{\sqrt{1-(cos\alpha)^2} }{cos\alpha }$

⇒ $Tan\alpha = \frac{\sqrt{1-(\frac{-4}{5})^2} }{\frac{-4}{5} }$

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⇒ $Tan\alpha = \frac{-5}{4}\sqrt{(\frac{25-16}{25}) }$

⇒ $Tan\alpha = \frac{-5}{4}(\frac{3}{5}) }$

⇒ $Tan\alpha = \frac{-3}{4}$ , since in third quadrant . $Tan\alpha = \frac{-3}{4}$ remains same .

Now , $Tan2x = \frac{2tanx}{1-(tanx)^{2}}}$

⇒ $Tan2x = \frac{2tanx}{1-(tanx)^{2}}}$

⇒ $Tan2x = \frac{2(\frac{-3}{4})}{1-(\frac{-3}{4})^{2}}}$

⇒ $Tan2x = \frac{-3}{2}(\frac{16}{7})$

⇒ $Tan2x =\frac{-24}{7}$

Therefore, $Tan2x =\frac{-24}{7}$ .

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Answer:

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Doing so gives us:

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4 years ago

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IRISSAK [1]

Answer:

hello :

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Answer:

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The graph of the function f(x) is represented by the blue curve in attached diagram

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