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)
That statement is false.
Angle e= angle g + angle h
Answer: Copyright protects original work, whereas a trademark protects items that distinguish or identify a particular business from another.
The trademark laws protect the product or service name and any slogans used in the advertising, while the copyright laws protect the additional creative written expression contained in the ad. Hope this helps!
Step-by-step explanation:
Answer:
-25
Step-by-step explanation:
if you are multiplying x by -2/5 you have to divide each side by it to get
x = 10 ÷ -2/5
and if you change it to (10/1)/(-2/5)
=(10/1) • -5/2
and whene you multiply them you get -50/2
which is -25/1 or -25
The most likely thing that has happened in this case is that a fee is paid for the registration.
The function that best models this problem is:
y = 45x + 15
Where,
x: number of months.
Y: payment of each month.
For the first month we have:
y = 45 (1) +15
y = 45 + 15
y = 60
answer:
the most likely reason for the bill being this amount is
registration fee.
