If the integral is
substitute 
and 
. Then you end up with
which in terms of <em>x</em> is
The system of linear equations that may be used in order to solve this problem is as follows:
x + y = 37
2x + 3y = 95
This is considering that x is the number of bracelets sold and y is the number of necklaces.
The values of x and y in the equation are 16 and 31, respectively.
Thus, the answer is 16 bracelets and 21 necklaces.
Answer:
6 terms
Step-by-step explanation:
2 − 2/4 + 2/9 − 2/16 + ...
∑ (-1)ⁿ⁺¹ 2 / n²
Applying alternating series test:
lim(n→∞) 2/n² = 0
2/(n+1)² < 2/n², so the series is decreasing.
Therefore, the series converges.
2/(n+1)² < 0.05
(n+1)²/2 > 20
(n+1)² > 40
n+1 > 6.32
n > 5.32
n = 6
Answer:
$3.50
Step-by-step explanation:
15 min is 1/4 hr.
Working an add'l 1/4 hr brings the employee additional pay:
($14/hr)(1/4 hr) = $7/2, or $3.50
X^2 + 2 = x + 8
x^2 - x + 2 - 8 = 0
x^2 - x - 6 = 0
Input 1 => 1^2 - 1 - 6 = 1 - 1 - 6 = -6
Input 3 => 3^2 - 3 - 6 = 9 - 3 - 6 = 0
Input 4 => 4^2 - 4 - 6 = 16 - 4 - 6 = 6
Input 5 => 5^2 - 5 - 6 = 25 - 5 - 6 = 14
Solution set { -6, 0, 6, 14}
