Step-by-step explanation: for the first 2 you divide the number without the variable and the number with the variable. With the last 2 you multiply the number with and without the variable together.

3 0

3 years ago

PLEASE HELP ME 40 PTS!!!!!!

SSSSS [86.1K]

Answer:

The sequence converges to infinity.

Step-by-step explanation:

$a_n = \frac{n^3 - n}{n^2 + 5n}\\\\ \lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{n^3 - n}{n^2 + 5n}$

$= \lim_{n \to \infty} \frac{n(n^2 - 1)}{n(n + 5)} \\\\= \lim_{n \to \infty} \frac{(n^2 - 1)}{(n + 5)}\\\\= \lim_{n \to \infty} \frac{n(n - \frac{1}{n})}{n(1 + \frac{5}{n})}\\\\= \lim_{n \to \infty} \frac{(n - \frac{1}{n})}{(1 + \frac{5}{n})}$

$denominator = \lim_{n \to \infty} 1 + \frac{5}{n} = 1 + \lim_{n \to \infty} \frac{5}{n} = 1+0 = 1$

$numerator = \lim_{n \to \infty} n - \frac{1}{n} = \infty$

Therefore,

$\lim_{n \to \infty} a_n = \frac{ \infty}{1} = \infty$

8 0

3 years ago

if alisson worked the times in the table and makes $9.32 an hour, how much was her gross pay this week

LenaWriter [7]

Hrs worked = 9.25 + 8.75 + 9 + 8.25 + 9 = 44.25 hrs. (44.25 - 40 = 4.25 hrs overtime)
40 hrs * $9.32 = $372.80 (Straight time) 

$9.32 * 1.5 = $13.98 (Overtime rate) 
4.25 (Overtime hrs.) x $13.98 (Overtime rate) = $59.42 (Overtime pay) 

$372.80 + $59.42 = $432.22 (Total gross pay)

4 0

3 years ago