Answer:
The correct choice is <u><em>option A. 2 < x < 10/3</em></u>
Step-by-step explanation:
|3x - 8| < 2
= -2 < |3x - 8| < 2
3x - 8 > -2 and 3x - 8 < 2
+8 +8 +8 +8
----------------- ------------------
3x > 6 3x < 10
/3 /3 /3 /3
----------------- -------------------
x > 2 x < 10/3
= 2 < x < 10/3
The present value of an annuity of n periodic payments of P at r% where payment is made annually is given by:
Given that <span>Estes
Park Corp. pays a constant dividend of P = $6.95 on its stock. The company
will maintain this dividend for the next n = 12 years and will then cease
paying dividends forever. If the required return on this stock is r = 10 % = 0.1.
Thus, the current share price is given by:
Therefore, the current share price is $47.36
</span>
I think the first one is C
Answer:
Option D: (8, -12) is the solution set for given system.
Step-by-step explanation:
Given that:
1/4x-1/2y=8 ----------- eq1
1/2x+3/4y=-5 --------- eq2
Multiplying eq1 by 2 we get:
1/2x - y = 16 ------- eq3
Now by subtracting eq3 from eq2 we get:
(1/2x+3/4y) - (1/2x - y ) = -5 -16
By simplifying:
3/4y + y = -21
By taking LCM to make denominator same:
3/4y + y*4/4 = -21
3+4 / 4y = -21
7/4y = -21
Multiplying both sides by 4/7 we get
y = -21 * 4/7
y = -12
Putting value of y in eq3
1/2x - (-12)= 16
1/2x + 12 = 16
1/2x = 16 - 12
1/2x = 4
Multiplying both sides by 2
x = 4*2
x = 8
So the solution set = (8, -12)
i hope it will help you!