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iVinArrow [24]
3 years ago
10

HOW is anybody supposed to find the answer to this pre calc question???? Express the complex number in trigonometric form. -2 Ho

w am i supposed to do anything with that number? These are my choices, but I am completely lost! : 2(cos 90° + i sin 90°) 2(cos 0° + i sin 0°) 2(cos 180° + i sin 180°) 2(cos 270° + i sin 270°)
Mathematics
2 answers:
Assoli18 [71]3 years ago
6 0

Answer:

It would be 2(cos 270° + i sin 270°), or D.

Step-by-step explanation:

Rama09 [41]3 years ago
4 0
It has to do with the unit circle, I think it is A because it should be 2(0+ (-1)) but I would probably wait for someone to come behind me and explain it better sorry couldn't help more
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The value of an investment A (in dollars) after t years is given by the function A(t) = A0ekt. If it takes 10 years for an inves
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Answer:

20 years.

Step-by-step explanation:

We have been given a formula A(t)=A_0\cdot e^{kt}, which represents the  value of an investment A (in dollars) after t years.

Substitute the given values:

\$3,000=\$1,000\cdot e^{k*10}

Let us solve for k.

\frac{\$3,000}{\$1,000}=\frac{\$1,000\cdot e^{k*10}}{\$1,000}

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Take natural log of both sides:

\text{ln}(3)=\text{ln}(e^{k*10})

Using property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

\text{ln}(3)=10k\cdot\text{ln}(e)

We know that \text{ln}(e)=1, so

\text{ln}(3)=10k\cdot 1

\text{ln}(3)=10k

\frac{\text{ln}(3)}{10}=\frac{10k}{10}

\frac{\text{ln}(3)}{10}=k

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Dividing both sides by 1000, we will get:

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Take natural log of both sides:

\text{ln}(9)=\text{ln}(e^{\frac{\text{ln}(3)}{10}*t)

\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot\text{ln}(e)

\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot1

10*\text{ln}(9)=10*\frac{\text{ln}(3)}{10}*t

10\text{ln}(9)=\text{ln}(3)*t

10\text{ln}(3^2)=\text{ln}(3)*t

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20\text{ln}(3)=\text{ln}(3)*t

Divide both sides by \text{ln}(3):

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20=t

Therefore, it will take 20 years for the investment to be $9,000.

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