Answer:
The two straight line intersect at (2,-1)
Step-by-step explanation:
We are given the following equations in the question:
Comparing to the general form of equation,
where m is the slope and c is the y-intercept, we get,
Equation 1:
Equation 2:
Plotting the two equations, we get:
The two straight line intersect at (2,-1)
Answer:
S = 50000/5^(1/t)
Step-by-step explanation:
Since we have that the rate of increase in sales S (in thousands of units) of a product is proportional to the current level of sales and inversely proportional to the square of the time t.
And ds/dt means the rate of increase in S
dS/dt ∝ S/t².
Now,
dS/dt = kS/t². Where k is the constant of proportionality
Solving this equation,
dS/S = kdt/t²
Taking the integral of both sides,
∫ dS/S = ∫ kdt/t²
Integrating both sides, we get,
lnS = - k/t + C
As t --> ∞,
ln50000 = C.
So,
lnS = - k/t + ln50000.
Next,
When t = 1, S = 10000.
We have,
ln10000 = - k + ln50000.
k = ln50000 - ln10000.
k = ln5.
Now,
lnS = - 1/t. ln5 + ln50000.
Taking the exponential of both sides, we get,
S = 50000/5^(1/t)
Answer:
I believe they would be called dependent events
Step-by-step explanation:
P= 8$
16*5=80 (total)
hinges were 5 dollars each+ the 3 dollars (knocking off sale tax)
5+3= 8$
