Answer:
k = -2
Step-by-step explanation:
If
Then
So
From this follows k = -2
What is the solution to the system of equations in the graph below?
2 answers:
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Answer:
10.153 years
Step-by-step explanation:
The future value of such an investment is given by ...
FV = P·(1 +r/12)^(12t)
where P is the principal invested, FV is the future value of it, r is the annual interest rate, and t is the number of years.
Dividing by P and taking the log, we have ...
FV/P = (1 +r/12)^(12t)
log(FV/P) = 12t·log(1 +r/12)
Dividing by the coefficient of t gives ...
t = log(FV/P)/log(1 +r/12)/12 = log(3000/2000)/log(1 +.003333...)/12 ≈ 121.842/12
t ≈ 10.153 . . . years
The graph of linear function p(x)=-5x has Slope: −5 and y-intercept: (0,0)
Steps for graphing an equation using the slope and y-intercept:
Find the y-intercept = b of the equation y = mx + b.
Plot the y-intercept. The point will be (0, b).
Find the slope=m of the equation y = mx + b.
Make a single step, using the rise and run from the slope.
Connect those two points with your line.
Therefore , the graph is attached below of p(x)=-5x which has Slope: −5 and y-intercept: (0,0).
Learn more about graphing linear function here
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