by nsguy1350 » Thu Feb 02, 2012 1:16 am
Interest is of the form [unparseable or potentially dangerous latex formula], where A is the money, P is the initial money, r is the interest, in decimal non-percent form, t is the time (in years), and q is the amount of times per year.
A = P if t = 0, always. Therefore, always set P to the initial value. When the money doubles, you get A = 2P, and dividing by P on both sides, you get [unparseable or potentially dangerous latex formula]. Taking the natural logarithm of both sides and bringing down the 4t, [unparseable or potentially dangerous latex formula]. Solve for t. I don't feel like getting my calculator, so I'll leave that up to you :D
If cos x = 8/17, then sin x either equals -15/17 or 15/17, depending on the Quadrant (I or IV). Set up a triangle on a coordinate system to see this. I can't tell you the exact value because I don't know if it should be positive or negative. Does it specify?
If crosbyton is the origin, bishop has coordinates [unparseable or potentially dangerous latex formula]. You can see this with trigonometry. The catch is to see the word "bearing", which means add 90 degrees. That's how pilots talk (or maybe something besides pilots, I don't really know.)
I don't know what you mean in that statement about theta. Anyways, cos x = -4/5. Because of the domain restriction, sin has to be negative, so -4/5. [unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula].
Therefore, [unparseable or potentially dangerous latex formula].
[unparseable or potentially dangerous latex formula].
[unparseable or potentially dangerous latex formula]. I'm guessing that's your final answer.
[unparseable or potentially dangerous latex formula]. Remembering the quadrant, you should be able to work from there.
k<x,y> = <kx,ky>. Distribute the coefficient.
3U + 4V = 3<-3,-6> + 4<2,4> = <-9,-18> + <8,16> = <-1,-2>.
If anything I said is wrong or isn't on the answer key, I probably made a mental mistake or a typo. Tell me if you catch something.
2013 District 1/Region:
NS - 319/355
MA - 340/332
CA - 294/287
SC - 344/292
CS - 212/124 (fail)