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:
F, I’m not sure but i would go with F since you want the original cost or rather “c”, you want to divide that to get the $5.50 which it states that that’s the half price.
Answer:
3/2
Step-by-step explanation:
1. B she started with 36 photographs,
22 = b - 18 + 13 - 9
b = 22 + 18 - 13 + 9
b = 36
I translated it into an equation, so I would say C, but since B is the only one with the right answer...
2. A
78 - 5 = 73
73 × 365 = 26645
3. D
4. D
5. A
40 × 86 = 3440
