Answer:
2/3
Step-by-step explanation:
Given : A geometric sequence : 18, 12, 8, 16/3,…
Solution :
Each term is found by multiplying the previous term by a constant in a Geometric Sequence .
In a Geometric Sequence common ratio is denoted by r
![r = \frac{a_{n} }{a_{n-1} }](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Ba_%7Bn%7D%20%7D%7Ba_%7Bn-1%7D%20%7D)
for n = 2
![r = \frac{a_{2} }{a_{1} }](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Ba_%7B2%7D%20%7D%7Ba_%7B1%7D%20%7D)
⇒![r = \frac{12 }{18 }](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B12%20%7D%7B18%20%7D)
⇒![r = \frac{2 }{3 }](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B2%20%7D%7B3%20%7D)
for n = 3
![r = \frac{a_{3} }{a_{2} }](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Ba_%7B3%7D%20%7D%7Ba_%7B2%7D%20%7D)
⇒![r = \frac{8 }{12 }](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B8%20%7D%7B12%20%7D)
⇒![r = \frac{4 }{6 }](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B4%20%7D%7B6%20%7D)
⇒![r = \frac{2}{3 }](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B2%7D%7B3%20%7D)
Thus the common ratio 'r' = 2/3
N+d=34
.05n+.10d=2.60
Solve by substitution
n=34-d
.05(34-d)+.10d=2.60
1.7-.05d+.10d=2.60
.05d=.90
d=18 dimes
18+n=34
n=16 nickles
Answer:
68%
Step-by-step explanation:
25-8=17
17/25=0.68
68%
Hope this helped :)
Part A: W= Wage (money earned)
$6 (earned per hour without working overtime) Equation: W=$6x
x= number of hours
S= (money earned)
$6 plus $9 (earned per hour with working overtime) Equation S=$15y
y= hours
Part C: Use S=$15y (this shows the amount of money earned after working overtime after the certain amount of hours spent)
$330=$15y
I think you can solve from there