1) 4n
The arithmetic sequence is going up in 4’s (1 x 4 = 4, 4 x 4 = 16)
Therefore the answer is just 4n
2) 0.5n (1/2n)
The arithmetic sequence is going up in 0.5’s (1 x 0.5 = 1/2, 1/2 x 0.5 = 1/4)
Therefore the answer is just 0.5n or if you need it in a fraction it is (1/2n)
3) -7n
The arithmetic sequence is going up in -7’s (7 x -7 = -14, -14 x -7 = 28)
Therefore the answer is just -7n
Answer:
Step-by-step explanation:
tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\
where~x~is~an~integer.
Group A:
1 dot at 9: 1 x 9 = 9
7 dots at 10: 7 x 10 = 70
8 dots at 15: 8 x 15 = 120
8 dots at 17: 8 x 17 = 136
6 dots at 19: 6 x 19 = 114
Mean: (9+70+120+136+114) / (1+7+8+8+6) = 449/30 = 14.97
Group B:
6 dots at 10: 6 x 10 = 60
5 dots at 14: 5 x 14 = 70
6 dots at 18: 6 x 18 = 108
5 dots at 25: 5 x 25 = 125
4 dots at 28: 4 x 28 = 112
4 dots at 29: 4 x 29 = 116
mean: (60+70+108+125+112+116) / (6+5+6+5+4+4) = 591 / 30 = 19.70
The group that has a lower mean age of painting students is Group A. Its mean is 14.97 or 15 years of age.
First you need to multiply 36 *$30.22=$1087.92
This gives you the total amount paid
Then subtract 1087.92-900=187.92
This gives you the amount of money you paid in finance charges.
