Answer:
E
Step-by-step explanation:
the weight of the packaging materials is 12 oz. There are 16 oz in a pound. If the vase weighs 3 lb 11 oz, it would take 5 more oz to reach the next pound, and there was another 7 oz after that. You would then do 5 + 7, which is 12, so the packaging materials weigh 12 oz.
Answer:
30%
Step-by-step explanation:
4320 - 288 = 4032
4032/12 =336 per copies
So, he sold them in 5760
5760 - 4032 = 1728
(1728/5760)*100 = 30%
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for 
:
Then as gets arbitrarily large, the term 
will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
Answer:
y=5x+25
y=5(12)+25
y=85
Step-by-step explanation:
Answer:
y=107
x=73
z=73
Step-by-step explanation:
y and 107 are vertical angles, which means that they're the same value because they're vertically across from each other.
107 and x are supplementary angles, so x=180-107 or 73.
x and z are also vertical angles, so x=z=73.
