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)
Well the only answer could be 1s because it must be lower than 6 try figuring that one out
Dy\dx=-2+y/x+1 is the answer I think
Answer:
Yes
Step-by-step explanation:
They are similiar because the big triangle is a dialated version of the first one
