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)
A natural number is a counting number, it is like 1,2,3,4,5, etc
an integer is a natural number and also negative numbers and 0
so like -3,-2,-1,0,1,2,3
a natural number is always an integer
Answer:
y = .025x +20
The y intercept is the value when x = o, or the starting value. In this case, it is the temperature in degrees F at a depth of 0 meters.
Step-by-step explanation:
We have a point a (0,20) and a point at (2 , 20.05)
We can find the slope from
m = (y2-y1)/(x2-x1)
= (20.05-20)/(2-0)
= .05/2
=.025
One of the points (0,20) is the y intercept since x=0
We can use the slope intercept form of the equation
y= mx+b
y = .025x +20
The y intercept is the value when x = o, or the starting value. In this case, it is the temperature in degrees F at a depth of 0 meters.
The answer I'd 222 because you add 75 +63=138 and you multiple 138 ×4=552 and 552 +234=786and then 786-564=222
Which property of real numbers is illustrated by the equation
52 +(27 +36) = (52 + 27) +36?
These numbers are alike such as: <span>a + (b + c) = (a + b) + c
Which means that this is T</span><span><span>he Associative Property.
</span>Hope this helps! :)
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