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3 years ago

PLSSSS HALLPP!!! DUE TODAY!!! PLS AND THANK YOU!!

Mathematics

1 answer:

3241004551 [841]3 years ago

7 0

Answer:

$100.4

Step-by-step explanation:

Compound Interest Formula:

A = P $($ 1 + $\frac{r}{100}$ $)^{t}$

=> A = 100 x ( 1 + $\frac{0.4}{100}$ )^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)

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3 years ago

Solve sin4xcos2x-cos4xsin2x=square root of 2 sinx over the interval [0,2pi)

ddd [48]

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sin(2\theta)=2sin(\theta)cos(\theta)\\\\
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sin(4x~~-~~2x)=sin(x)\sqrt{2}\implies sin(2x)=sin(x)\sqrt{2}
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$

$\bf 2sin(x)cos(x)=sin(x)\sqrt{2}\implies 2sin(x)cos(x)-sin(x)\sqrt{2}=0
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sin(x)~[2cos(x)-\sqrt{2}]=0\\\\
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now, we're not including the III and II quadrants, where the cosine has an angle of the same value, but is negative, because the exercise seems to be excluding the negative values of √(2).

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4 years ago