An employee wants to invest $50,000 in a pension plan. One investment offers 6% compounded quarterly. Another offers 5.25% compounded continuously (a) Which investment will earn more interest in 6 yr? (b) How much more will the better plan earn? (a) After 6 years, will earn more interest. ...

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A: we know that  i.i=j.j=1  and  i.j=j.i=0v.w=v.w cos(θ)where θ is angle between v and w

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A: To find the Area of Right Angle Triangle.  The given legs are of length 8 and 7.

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A: Given Equation:- 5cosxcotx=cosx

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Q: An employee wants to invest $60,000 in a pension plan. One investment offers 6% compounded…

A: ⇒A=P1+rnnt ⇒P=Initial amount ⇒A=Amount  at time t ⇒n=compounded period ⇒t= Time in years

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A: Pythagorean identity  sin²θ+cos²θ is equal to 1

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A: Given -8sin2θ + 10 = 6

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A: Given query is to find equivalent polar coordinates.

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A: We have to investigate about maxima and minima of the given function.

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A: NOTE: Refresh your page if you can't see any equations. . the radius and angle are

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: This question can be solved using the concept of cosine law of triangle.

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A: Please see the below picture for detailed solution.

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A: To prove the given trigonometric identity

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A: NOTE: Refresh your page if you can't see any equations. . the magnitude of the vector  is given by

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A: formula for  sin(α2)=±1-cosα2sin2α+cos2α=1

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A: Please see the below picture for detailed solution.

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Q: 15 Suppose sin(a) = — where π < a < ³7, and tan(ß) = 8 a) Find sin (a + B). where <ß <³7.

A: formula is  sin(α+β)=sinαcosβ+cosαsinβsin2x+cos2x=1

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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