Answer:
i)
ii) n = 33
Step-by-step explanation:
For this question you can actually focus on the sine, and forget about the e power. The x-coordinates of the extremes of the curve will be the same as for y=sin(4x)
i) equivalent to solving sin(4x) = -1, so 4x = 3/2 pi, x=3/8 pi
ii) The Tn values are at x = (n·π - π/2)/4
solving (n·π - π/2)/4 > 25 gives:
n > 1/2 + 100/π, so n > 32.331, but n must be integer, so we get n=33
Answer:
-6
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
If you would like to know how much weeks would it take to earn $5000, you can calculate this using the following steps:
$700 ... 4 weeks
$5000 ... x weeks = ?
700 * x = 4 * 5000 /700
x = 4 * 5000 / 700
x = 28.57
x = 29 weeks
The correct result would be 29 weeks.
Answer:
C. 20
Step-by-step explanation:
Let's say M is the original number of men and W is the original number of women.
M / W = 3 / 5
(M+2) / (W+1) = 2 / 3
Let's cross multiply both equations:
5M = 3W
3(M+2) = 2(W+1)
Let's simplify the second equation:
3M + 6 = 2W + 2
3M + 4 = 2W
From the first equation:
M = 3/5 W
Substitute:
3 (3/5 W) + 4 = 2W
9/5 W + 4 = 2W
4 = 1/5 W
W = 20
There were originally 20 women.
Let's check our answer. That would mean that M = 3/5 W = 12.
After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3. Looks like the answer is correct!
Answer C.