Answer:
![4c+20t=4.00...(1)](https://tex.z-dn.net/?f=4c%2B20t%3D4.00...%281%29)
![10c+5t=5.50...(2)](https://tex.z-dn.net/?f=10c%2B5t%3D5.50...%282%29)
Step-by-step explanation:
Let c be cost of each call and t represent cost of each text message.
We have been given that last week Ricki made 4 call and sent 20 text messages which cost him $4.
Cost of 4 calls would be
.
Cost of 20 text messages would be ![20t](https://tex.z-dn.net/?f=20t)
Total cost id $4.00.
We can represent this information in an equation as:
![4c+20t=4.00...(1)](https://tex.z-dn.net/?f=4c%2B20t%3D4.00...%281%29)
We are also told that this week he made 10 calls and sent 5 text messages which cost him $5.50.
Cost of 10 calls would be
.
Cost of 5 text messages would be ![5t](https://tex.z-dn.net/?f=5t)
Total cost id $5.50.
We can represent this information in an equation as:
![10c+5t=5.50...(2)](https://tex.z-dn.net/?f=10c%2B5t%3D5.50...%282%29)
Therefore, our required system would be:
![4c+20t=4.00...(1)](https://tex.z-dn.net/?f=4c%2B20t%3D4.00...%281%29)
![10c+5t=5.50...(2)](https://tex.z-dn.net/?f=10c%2B5t%3D5.50...%282%29)
Answer:
a
Step-by-step explanation:
Answer:
![\begin{aligned}\bullet\ &f(1)=800;f(n)=f(n-1)+900, \text{for $n\ge 2$}\\ \bullet\ & f(n)=900n-100\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cbullet%5C%20%26f%281%29%3D800%3Bf%28n%29%3Df%28n-1%29%2B900%2C%20%5Ctext%7Bfor%20%24n%5Cge%202%24%7D%5C%5C%20%5Cbullet%5C%20%26%20f%28n%29%3D900n-100%5Cend%7Baligned%7D)
Step-by-step explanation:
See attachment for the figure.
Using arithmetic sequence with a first term of 800 and a common difference of 900. The general form for such a sequence is given by,
an = a1 +d(n -1)
an = 800 +900(n -1) = 900n -100
If n is the function, this can be written as,
f(n) = 900n -100
When considered as a recursive relation, we find the first term is still 800:
f(1) = 800
and that each term is 900 more than the previous one:
f(n) = f(n-1) +900 . . . . for n ≥ 2
You need to consider that huge numbers of the different answer decisions are debasements of either of these structures, so you should look at them cautiously.
Answer:
Step-by-step explanation:
4/3 ÷ 2 = 2/3.
2/3 water waters 1/5 plants in the house.
2/3 x 5 = 10/3.
1/5 x 5 = 1.
10/3 = 3 1/3.
3 1/3 liters of water are needed to water all the plants in the house.
Answer:
an= n * (n+1)
Step-by-step explanation:
2,6,12,20,.....
6-2 =4
12-6 = 6
So there is no common difference because these numbers are not the same
It cannot be an arithmetic difference
6/2 =3
12/6 =2
So there is no common ratio because these numbers are not the same
It cannot be geometric
2, 6, 12, 20,...
+4 +6 +8 +10
a1 =2
a2 =2*3
a3 = 2*6=2*2*3=3*4
a4=2*10=2*2*5=4*5
.....
a5 = 5*6 = 30
an= n * (n+1)