Answer:
x=20
Step-by-step explanation:
Let = a 30 day period
The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)
The second equation is 40-1.5x
Set them equal to each other: 50 - 2x = 40 - 1.5x
Solve for x:
50 - 2x = 40 - 1.5 x
+2x +2x
-----------------------
50 = 40 + 0.5 x
-40 -40
-------------------
10 = 0.5 x
20 = x
So there will be 20 30-day periods until the cards will be equal in value.
Check: After 20 periods, 50 - 2(20) = $10 left
40 - 1.5(20) = also $10 left
Answer:
13/28
Step-by-step explanation:
Answer:
Explanation:
1.
x^2 - 10x + 24
= (x - 6)(x - 4)
2.
x^2 - 12x + 27
= (x - 9)(x - 3)
3.
x^2 - 13x + 36
= (x - 9)(x - 4)
4.
x^2 - 5x - 14
= (x - 7)(x + 2)
5.
x^2 + x - 20
= (x + 5)(x - 4)
6.
x^2 - 3x - 40
= (x - 8)(x + 5)
7.
x^2 + 2x - 48
= (x - 8)(x + 6)
8.
x^2 + 10x - 24
= (x - 2)(x + 12)
9.
x^2 - 7x - 44
= (x - 11)(x + 4)
10.
x^2 + x - 2
= (x + 2)(x - 1)
11.
x^2 + 2x + 1
= (x + 1)(x + 1)
12.
x^2 - x - 6
= (x - 3)(x + 2)
Answer:
188 weeks of data must be sampled.
Step-by-step explanation:
From the information given, we can deduce that:
The Margin of error is within = 200
The confidence interval = 95%
The level of significance = 1 - C.I
= 1 - 0.95
= 0.05
The standard deviation = 1400
The number of weeks the data must be sampled can be determined by using the formula for sample size which is:
n = 188.24
n ≅ 188
Thus, 188 weeks of data must be sampled.
Answer:
Step-by-step explanation:
8=09
