<span>y=-3cos(2pi/5 x)
y=a cos (bx+c) +d
a=-3; b=2pi/5; c=0; and d=0
Period: P=2pi/b
P=2pi/(2pi/5)
P=2pi*[5/(2pi)]
P=(2pi*5)/(2pi)
P=5
Answer: T</span><span>he period of the sinusoid given by y=-3cos(2pi/5 x) is 5.</span>
First thing the formula is slightly mistated.
it should be
A=P(1+r/n)nt (you had rt fo the exponent and it should be nt
now lets solve this thing
you want A = 2P (double your money
2P = P(1+r/n)nt
we can divide through by P adn put in the values we know
2 = (1+.085/2)2t
2 = (1.0425)2t
and now we can take the log of both sides to make it easy to solve our equation
log(2) = 2tlog(1.0425)
.301 = 2t (.018)
divide both sides by .018
16.653 = 2t
t = 8.327 (number of years to double your money at this rate
check it
(1.0425)16.653 =2
I think it would be <u>40.35%</u>
Judging by the question at hand I generated this equation.
x+y=12
x=2y
I begin this question by plugging in the x=2y into the equation for x.
So the new equation should be 3y=12. I then divide the entire equation by 3 to get y=4.
Next I plug y=4 into the equation, the new equation should be x+4=12. I then subtract 4 from both sides to get x=8.
The two numbers are :
x=8 y=4
On the presumption that it is a cubic die, on average you will not gain nor lose any money. Out of the six faces, 1/3 of them are a 5 or a 2. So 1/3 of the time, you will gain 3$, but will lose 1$ from the initial payment. 1/3 of 3$ is 1$, so on average, you will gain 1$, while losing 1$.
Another way of looking at it is to take the possible out comes, and add the gains/loses, and you will come up with 0$.
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