Answer:
B: (-8/3 , 8)
Step-by-step explanation:
A (x₁,y₁) (4,-7) and C (x₂,y₂) (-4,11), B (x,y)
AB (a):BC (b) = 5:1
x = (bx₁ + ax₂) / (a+b) = (1*4+5*-4) / (5+1) = -16/6 = - 8/3
y = (by₁ + ay₂) / (a+b) = (1*-7+5*11) / (5+1) = 48/6 = 8
B: (-8/3 , 8)
Answer:
578.13
Step-by-step explanation:
40hrs at 23.13 is 925.20
Federal 22% = 203.54
FICA 7.65% = 70.77
Sate 3% = 27.76
Subtract those taxes from the <u>925.20</u> and round the penny fractions up<em> (.235 = .24)</em> and you get <u>623.13</u> but then don't forget about your 401k retirement plan, <u>45$</u> every week, so subtract that and then you're 1k a week paycheck, which is really nice btw, is down to................ <u>578.13</u>!!!!!!
Answer:
Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Step-by-step explanation:
Let 
denote the number of rafts seating 3 people and 
the number of rafts seating 5 people. The total number of rafts is 13, so 
. We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so 
.
It's always a good idea to put these equations under each other:
We can subtract the first equation three times from the second one to obtain 
Now, substitute this found value for into 
and we see that 
. We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Rewriting the function as an equation y=r,14"
5+r/14
2 kg is bigger because 1 kg=1000 g and so 1500 g would equal 1.5 kg which is smaller than 2 kg
