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anonymous
 5 years ago
The amount of money in an investment account (in millions) is given by P(t)=cos(4t)+392t where t is in months. If the amount of money ever exceeds $38 million the manager of the account receives a bonus. During the first 3 months the account is open, does the manager ever receive a bonus?
anonymous
 5 years ago
The amount of money in an investment account (in millions) is given by P(t)=cos(4t)+392t where t is in months. If the amount of money ever exceeds $38 million the manager of the account receives a bonus. During the first 3 months the account is open, does the manager ever receive a bonus?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0substitute t = 1, t=2 and t =3 in the equation and see if its value exceeds 38

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I understand that I'm finding this on the closed interval [1,3]. I'm having problems with finding the angle other than 4t=.5236 + 2pi(n)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Is it 4t=2.6179 + 2pi(n)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0just because you are finding the cosine of something doesn't mean that that something is an angle. it can be time (in this case) or frequency or anything else. don't worry about converting it to an angle.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Okay I don't know quite how to explain it, but I know I have to find the other equation for the other quadrant.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0why? your system is defined by the equation you are given. what is all this talk about quadrants?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sorry dude. I don't know enough about what I'm talking about to explain. I could show you all the work I've done but I still don't know if I could convey to you what I'm talkin bout.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm using examples from my professor's notes to work this problem  I just know that at this point he always finds which quadrants the argument exists in and then evaluates.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Check your notes and see if in all those cases the cosine happened to be in the denominator or numerator of a fraction.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0cosine of both positive and negative numbers always exists.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Right so in which quadrants is inverse sin positive?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.02nd quadrant i believe

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0or rather, in the 1st and 4th quadrants

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0p(1) = cos(4)+392 = 37.653 p(2) = cos(8)+394 = 35.145 p(3) = cos(12)+396 = 32.156. Since the principal amount does not exceed 38, the manager does not get a bonus. is that clear?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I have calculated the cosines in radians, I am not sure if you have to convert them to degrees.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That is what I got, also. Yes  I calculate only in radians. Thank you for your time/help!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0There are other values besides t = 1, 2, 3... there are also values between them. As it turns out: t = .27728605 produces 38.00000001

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you are welcome. It shouldn't make a difference if you are calculating in radians or degrees since cosines cannot exceed 1 on either side.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ah yes, branlegr is right! The problem stated if the manager EVER receives a bonus. you should heed branlegr's advice.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0But how do you know to solve for t=.2773?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the problem is ambiguous. Does the statement t is in months mean that t can only take integer values?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Holy crap I'm so confused. Obviously not, because I solved for P(1.7010), P(2.2253)...etc
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