Answer:
its a geometric sequence where each term is 3 times the previous term.
Step-by-step explanation:
{2,6,18,54,162,486,1458...}
Let x be the number of people that can be seated.
The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that

which is the same as saying

The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have

indicating that x can be less than 1200 or equal to 1200.
So putting the two inequalities together, we get

Note: if you haven't learned about compound inequalities yet, then the teacher may only want

as the answer.
Answer:
81/36
Step-by-step explanation:
81/9 is 9
9 times 4 is 36
Answer:
2
Step-by-step explanation:
loge(x) is ln(x)
f(x) × ln(x)
Differentiate using product law
[ln(x) × f'(x)] + [(1/x) × f(x)]
x = 1
[ln(1) × f'(1)] + [(1/1) × f(1)]
(0 × 4) + (1 × 2)
0 + 2
2
Answer: 98.1%
Explanation:
A 10% sale means that the post-sale price of the item is now 90%, or 0.9 of the original cost of the item. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price.
For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number. Here, we would then have a post-sale price of 90 dollars, and if we calculate the sales tax for the 90-dollar item it would be 90 * 0.09 = $8.10. THis gives us a total cost of 90 + 8.10 = $98.10, or 98.1% of the original 100-dollar price.