The slope intercept form is y = -x - 4
To find the slope intercept form given a couple of points, start by finding the slope using the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-5 - 0)/(1 - -4)
m = -5/5
m = -1
Now we look for the intercept using slope intercept form, our slope and a point.
y = mx + b
0 = -4(-1) + b
0 = 4 + b
-4 = b
Now we can use those two things top model the equation.
y = -x - 4
X over 49.5 and 20 over 100 then you cross multiply and you get 100x is equal to 990 you divide 100x and 990 both by 100 and get x and 9.9 then you have 50 seniors a month that you give the discount to so you multiply 9.9 by 50 and get 495 so the total discount you give on an average monthly basis is $495.00 Hope this helped
Answer:
2,340,208.5 or 2,340,209
Step-by-step explanation:
You could answer this by multiplying the current population of 800,000 by 1.05 (1.05 represents the annual growth rate of population) and do that 22 times. But that would take a while.
we got 1.05 because the formula says that y = a( 1 + r ) power t
for a we will give it 1
so y = 1 ( 1 + 0.05) power t
it will give us 1.05
to do this faster, you would first calculate (1.05)22and then multiply this by 800,000.
So, 800,000 x (1.05)22 = 2,340,208.5 or 2,340,209
Answer:
20.4cm²
Step-by-step explanation:
base= 10.2
height= 2
10.2×2=20.4cm²
Answer: it will take 9 days
Step-by-step explanation:
The water level was initially at 34feet it was receding at the rate of a foot per day. The rate at which it was receding is linear, thus, it is in an arithmetic progression. The formula for the nth term of an arithmetic progression is expressed as
Tn = a+(n-1)d
Where
a is the first term if the sequence
d is the common difference
n is the number of terms.
From the information given,
a = 34 feet because it is the initial height
n is the number of days it will take to get to 26 ft
d = -1 because it is decreasing by 1 foot per day.
Tn = T26 = 26 feet. Therefore, the equation will be
Tn = 34 -1(n-1)
To find for T26,
26= 34 + (n - 1)-1
26 - 34 = -n + 1
n - 1 = 8
n = 8 + 1 = 9
