Answer:
S'(x)=-0.006x2+0.8x+9
Step-by-step explanation:
The rate of change of the sales S(x) with respect to the amount of money spent on advertising x is then the derivative of S(x) with respect to x. What we have to calculate is S'(x).
We know that the derivative of 
is 
(where a is a constant), and the derivative of a sum is the sum of the derivatives, so we can calculate the derivative of each term independently:
S'(x)=(−0.002x3 + 0.4x2 + 9x + 500)'=(−0.002)(3)x2 + (0.4)(2)x + 9
Which means:
S'(x)=-0.006x2+0.8x+9
Slope of the line passing through (7,-5) and (3,11) =
= -4
As two lines are perpendicular to each other, so when their slopes are multiply by each other, the answer will be -1
so the slope of the line passing through (-3,-9) and (5,n) will be
So will will get a formula below
and the answer will be n=
Answer:
6x ≥ 500
Step-by-step explanation:
I took the test but also it means that in six months, you have to save that amount of money to get exactly or more than 500, so this would be the correct answer!
A is the correct answer I just did that one too twins!
<span>Part A
</span>Chorus:
Expontential growth = b*a^x
b = 15
a = 1.12 (a= r+1), r = 12%
Which gives a function of f(x) = 15*1.12^x
Band
Linear growth = ax+b
a = 2
b = 30
Which gives a function of g(x)=2x+30
<span>Part B:
</span>f(9) = 15*1.12^9 = 41.59
g(9) = 2*9+30 = 48
<span>Part C:
</span>This is probably problem solving, where you're allowed to use calculators and other softwares.
Therefore you can use different softwares, and make f(x) = g(x).
I did this, and got it to 10.95427141
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<span> Ambitious </span>
