<span>loga (2) = 0.3812
</span><span>loga (3) = 0.6013
</span><span>loga (5) = 0.9004
</span><span>and we should know that loga a = 1
</span>
∴ loga (30a)³ = 3 loga (30a) = 3 loga (2 * 3 * 5 * a) = 3 ( loga 2 + loga 3 + loga 5 + loga a ) = 3 ( <span>0.3812 + 0.6013 + 0.9004 + 1 )
</span> = 3 * 2.8829 = 8.6487
The correct answer is option <span>C. 8.6487</span>
Answer:
50y + 75x ≥ 1000 ;
50(15) ≥ 750;
x ≥ 4
y ≥ 15
Step-by-step explanation:
Given that :
Number of stickers sold = y
Cost of sticker = 50
Cost of bag tag = 75
Number of bag tags sold = x
Total worth of items sold ≥ 1000
1)
50y + 75x ≥ 1000
2.)
To make atleast 15 stickers
y ≥ 15
Atleast 15 stickers :
50(15) ≥ 750
3.)
A possible solution :
50(15) + 75(x) ≥ 1000
750 + 75x ≥ 1000
75x ≥ 250
x ≥ 3.33
x ≥ 4
y ≥ 15
Answer:
see explanation
Step-by-step explanation:
The diagonals of a parallelogram bisect each other , then
CO = OA = b
DO = OB = a
(a)
CA = CO + OA = b + b = 2b
(b)
DC = DO + OC = a - b
(c)
CB = CO + OB = b + a = a + b
181 rounded to the nearest ten is the 200