S = d/t
st = d
t = d/s
The time going is t1.
The time returning is t2.
The total time is 4 hours, so we have t1 + t2 = 4
The speed of the current is c.
The speed going is 9 + c.
The speed returning is 9 - c.
t1 = 16/(9 + c)
t2 = 16/(9 - c)
t1 + t2 = 16/(9 + c) + 16/(9 - c)
4 = 16/(9 - c) + 16/(9 + c)
1 = 4/(9 - c) + 4/(9 + c)
(9 + c)(9 - c) = 4(9 - c) + 4(9 + c)
81 - c^2 = 36 - 4c + 36 + 4c
81 - c^2 = 72
c^2 = 9
c^2 - 9 = 0
(c + 3)(c - 3) = 0
c + 3 = 0 or c - 3 = 0
c = -3 or c = 3
We discard the negative answer, and we get c = 3.
The speed of the current is 3 mph.
Answer: Long -term capital gain
Step-by-step explanation:
Serena is single, so based on the Taxpayer Relief Act of 1997, she would pay no capital gains tax on the first $250,000 gain.
Therefore, $300,000 - $250,000 = $50,000
<em>The remaining $50,000 gain is taxable because of her being single and it has been her principal residence for three years.</em>
Answer:
Option A. 2
Step-by-step explanation:
To solve this problem we can write equations for each shirt color.
Let's call:
b = black shirts
g = gray shirts
w = white shirts
B = brown shirts
If you have 3 times more black shirts than gray shirts and buy 3 more black shirts then:
(i)
If you have 5 times more white shirts than gray shirts and gave a white shirt then:
(ii)
It has 2 times more gray shirts than brown camsas, then:
(iii)
It has the same amount of black and white shirts
(iv)
We want to find the number of gray shirts.
Then replace (iv) in (ii)
(v)
Now substitute (v) into (i) and clear g.
Joan has 2 gray shirts
Answer:
Sample space for two tosses of a coin [HH, TT, HT,TH]
Step-by-step explanation:
Im sorry if you got it wrong :(
please tell me in the comments
Answer:
-10
Step-by-step explanation:
30m - 22m =80 therefore m is equal to -10
