Answer:
c > -7/8
Step-by-step explanation:
Add 2 for an inequality that compares to zero:
2x^2 -3x +(c+2) > 0
This will be true when the discriminant is negative. For the quadratic ...
ax^2 +bx +c
the discriminant is ...
b^ -4ac
We want this to be negative:
(-3)^2 -4(2)(c+2) < 0
9 -8(c +2) < 0
9 -8c -16 < 0
-7 < 8c
-7/8 < c
The given inequality will be true for all values of c greater than -7/8.
If quarterly shrinkage (every 3 months) is 2.5%, then multiplying by $875,495 gives a value of 21887.38, or an average monthly shrinkage of 21887.38 / 3 = $7,295.79.For an employee to monitor the CCTV, it would cost ($7.5/h)(11 h/d)(30 d/m) = $2,475/month. Therefore, it is much cheaper (around 2/3 cheaper) to have an employee monitor CCTV rather than to allow the high shrinkage rate.
Answer:
The 2nd case is the better value
Step-by-step explanation:
£11.45
Case 1: That would be £11.45 + -------------- for the two shirts. This comes
2
out to 1.5(£11.45) = £17.175 for two shirts.
Case 2: Two shirts for £10.16 each comes out to £20.32; multiplying that by (1.00 - 0.20), or (0.80) results in (0.80)(£20.32) = £16.256.
The 2nd case is the better value, as one would get 2 shirts for £16.26, versus 2 shirts for £17.18 in the other case.
Simplify brackets
16/20 = t + -13/20
Simplify 16/20 to 4/5
5/5 = t - 13/20
Add 13/20 to both sides
4/5 + 13/20 = t
Simplify 4/5 + 13/20 to 29/20
29/20 = t
Switch sides
<u>t = 29/20</u>
