Hello from MrBillDoesMath!
Answer:
c = d/a + b
Discussion:
I think the Question is missing a comma. Assuming you are trying to find the value "c",
a(c-b) = d => divide both side by "a"
(c-b) = d/a => add "b" to both sides
c-b + b = d/a + b => as -b + b = 0
c = d/a + b
Thank you,
MrB
Answer:
$4918
Step-by-step explanation:
first income must be divided according to tax bracket
2% tax on first 3000 income= 2% of $3000=$60
3% tax on income after first 3000 but upto 5000= 5000-3000= $2000
=3% of 2000= $60
5% tax on income after second 5000 but upto 12000= 17000-5000
=12000 5% of $12000= $600
Lastly, 5.75% income over 17000=
90000-17000= $73000 so, 5.75 % of 73000= $4197.5
tax= $60+60+600+4197.5
= $4917.5
= $4918
Any linear function is of the form y=mx+b
Here m is slope and b is y intercept.
Slope is difference in y divided by different in x values .
In the question for 5 persons cost is $100 and for 10 persons cost is $162.50
So the points are (5,100) and (10,162.50)
Slope m=
=12.50
We can find the value of b by taking m=12.50 and (x,y)=(5,100)
Substitute these values in y=mx+b
100=12.50(5)+b
100=62.50+b
Subtracting 62.50 both sides
b=100-62.50
b=37.5
a) Put m=12.50 and b=37.50 to get the equation
y=12.50x+37.50
b)Rate of change is the m value or the slope of the function.
Initial value that is (5,100) gives us one of the points to find the rate of change.
I'm not really a big fraction type person, but I'm sure it's 7.625
So you’d add 5 and 3 so it’s 8 ft/s
You then divide 220/8
So it should be 27.5 seconds.
Sorry about that other guy. Hope this helps!
