Answer:
The Tempature dropped 18 degrees Fahrenheit is 6 hours
Associative Propety
(a + b) + c = a + (b + c)
Might have to experiment a bit to choose the right answer.
In A, the first term is 456 and the common difference is 10. Each time we have a new term, the next one is the same except that 10 is added.
Suppose n were 1000. Then we'd have 456 + (1000)(10) = 10456
In B, the first term is 5 and the common ratio is 3. From 5 we get 15 by mult. 5 by 3. Similarly, from 135 we get 405 by mult. 135 by 3. This is a geom. series with first term 5 and common ratio 3. a_n = a_0*(3)^(n-1).
So if n were to reach 1000, the 1000th term would be 5*3^999, which is a very large number, certainly more than the 10456 you'd reach in A, above.
Can you now examine C and D in the same manner, and then choose the greatest final value? Safe to continue using n = 1000.
Answer:
Inequality: 0.08x + 2300 ≥ 2800
Liz needs to sell products of $6250 at least.
Step-by-step explanation:
Given that:
Per month salary of Liz = $2300
Commission = 8% = 
= 0.08
Amount Liz wants to earn = $2800
Let,
x be the amount of sales.
0.08x + 2300 ≥ 2800
0.08x ≥ 2800 - 2300
0.08x ≥ 500
Dividing both sides by 0.08
Hence,
Liz needs to sell products of $6250 at least.
