The answer would be B, 4s + 44
Answer:
As the points are collinear, the slope of the line joining
any two points, should be same as the slope of the line joining two other
points.
Slope of the line passing through points (x
1
,y
1
) and (x
2
,y
2
) =
x
2
−x
1
y
2
−y
1
So, slope of the line joining (p,0),(0,q)= Slope of the line joining
(0,q) and (1,1)
0−p
q−0
=
1−0
1−q
−
p
q
=1−q
Dividing both sides by q,
−
p
1
=
q
1
−1
=>
p
1
+
q
1
=1
The y intercept is 0 and if it has to do with slope x is 6 over 1. rise over run.
Answer:
(g + 4)(g + 10)
Step-by-step explanation:
Note that 10*4 = 40 (which is the constant in g^2 + 14g + 40) and that 10 + 4 = 14 (which is the coefficient of x in g^2 + 14g + 40).
Thus, g^2 + 14g + 40 factors into (g + 4)(g + 10) (second answer choice).
Answer: the initial deposit is $162.1
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
r = 7% = 7/100 = 0.07
t = 3 years
A= $200
Therefore,
200 = P x 2.7183^(0.07 x 3)
200 = P x 1.234
P = 200/1.234
P = $162.1 to the nearest cent
