Answer:
I just answer this
x = 4,235294118
Step-by-step explanation:
Answer:
sure, why not
Step-by-step explanation:
Answer:
They earn $256 on the ninth day of school.
Step-by-step explanation:
A geometric sequence(in which each term is the previous term multiplied by the ratio) has the following format:
![a_{n+1} = r \times a_{n}](https://tex.z-dn.net/?f=a_%7Bn%2B1%7D%20%3D%20r%20%5Ctimes%20a_%7Bn%7D)
In which r is the common ratio.
We can also find the nth term as a function of the first term, by the following equation:
![a_{n} = a_{1} \times r^{n}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7B1%7D%20%5Ctimes%20r%5E%7Bn%7D)
In which
![r = \frac{a_{n+1}}{a_{n}}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Ba_%7Bn%2B1%7D%7D%7Ba_%7Bn%7D%7D)
In this question:
On the first day, $0.50. So
.
Day two $1.00, day three $2.00.
So
![r = \frac{1}{0.5} = \frac{2}{1} = 2](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B1%7D%7B0.5%7D%20%3D%20%5Cfrac%7B2%7D%7B1%7D%20%3D%202)
Then
![a_{n} = 0.5 \times 2^{n}](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%200.5%20%5Ctimes%202%5E%7Bn%7D)
How much do students earn on the ninth day of school?
![a_{9} = 0.5 \times 2^{9} = 256](https://tex.z-dn.net/?f=a_%7B9%7D%20%3D%200.5%20%5Ctimes%202%5E%7B9%7D%20%3D%20256)
They earn $256 on the ninth day of school.
Answer:
The bracelet will cost 85$ and it'll have 2 charms.
Step-by-step explanation:
In order to find the total cost of the bracelet and how many charms it'd be we need to build an equation for each store. So we have:
Oak Grove:
total cost = 16*charm + 53
Sandoval:
total cost = 27*charm + 31
We then find the number of charm that'll make them equal, since the price has to be the same on both shops:
16*charm + 53 = 27*charm + 31
27*charm - 16*charm = 53 - 31
11*charm = 22
charm = 2
The cost of the bracellet is:
total cost = 27*2 + 31 = 85 $