Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
so, in our case, the slope is 2, the y-intercept is -3.
the y-intercept gives you the first point : (0, -3)
using the slope of 2 we know that for every unit x increases, y increases by 2.
so, you can pick a next point e.g. x = 2, which makes y = -3 + 2×2 = -3 + 4 = 1
that gives us (2, 1)
mark both points on the chart and then draw a straight line through both points.
#4 no some outputs and inputs are the same
The formula is
A=p (1+r/k)^kt
A future value 3000
P present value 150
R interest rate 0.025
T time?
3000=150 (1+0.025/12)^12t
Solve for t
3000/150=(1+0.025/12)^12t
Take the log
Log (3000/150)=log (1+0.025/12)×12t
12t=Log (3000/150)÷log (1+0.025/12)
T=(log(3,000÷150)÷log(1+0.025÷12))÷12
T=119.95 years
MOE = +\- 1.27
The 99% confidence interval ranges from 53.73 to 56.27 hours.