Your picture has several issues.
- x is not defined. It appears to be the number of apartments rented.
- R(x) is defined two different ways. The first way, it looks like it is the revenue from a single apartment. The second way, it looks like it is the revenue from the entire apartment complex.
- The derivative is in error. It should be -20x +2000. In any event, this is not the derivative you want. You're not trying to maximize revenue; you're trying to maximize profit.
- It might be useful to write an equation for profit: P(x) = R(x) -200x = -10x² +1800x. Then when you go to maximize it, your derivative will be P'(x) = 0 = -20x +1800 ⇒ x = 90.
Your answer is correct, but the path you followed to get there has a few potholes.
Answer:
501.76
Step-by-step explanation:
common ratio r = 0.5
first term a = 256
sum of G.p = Sn= a( r^n -1)/r-1
sum of the first 6 terms =
S6 = 256( 0.5^6 - 1)/ 0.5 - 1
= 256( 0.0156 - 1)/-0.5
= 256( -0.98)/-0.5
= - 250.88/-0.5
S6 = 501.76
It is c because if you divide it it equals to .75
It would probably depend on what you mean by "smallest". If it means "smallest in magnitude", then of course the smallest slope you can have is zero.
