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:
c i think soory if wrong
Step-by-step explanation:
21/49 in simplist from would be 3/7.
Your answer is <em>3/7</em>
Answer:
In 2 hr Frank runs 8 mi farther than Ted
Step-by-step explanation:
Answer:
Kaitlin will be 1 hour and 15 minutes late (75 minutes)
15 · 5 = <u>75</u>
