Answer:
$41
Step-by-step explanation:
- One room rents for $68,
- Two rooms for $65 each,
- In general, the group rate per room is found by taking $3 off the base of $68 for each extra room.
So,
![a_1=\$68\\ \\a_2=\$65\\ \\a_3=\$62\\ \\...](https://tex.z-dn.net/?f=a_1%3D%5C%2468%5C%5C%20%5C%5Ca_2%3D%5C%2465%5C%5C%20%5C%5Ca_3%3D%5C%2462%5C%5C%20%5C%5C...)
where
is the rate per nth room rented.
This is an arithmetic sequence, so
![a_n=a_1+(n-1)\cdot d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29%5Ccdot%20d)
In your case,
![a_1=68\\ \\n=10\\ \\d=-3](https://tex.z-dn.net/?f=a_1%3D68%5C%5C%20%5C%5Cn%3D10%5C%5C%20%5C%5Cd%3D-3)
Hence
![a_{10}=68+(10-1)\cdot (-3)=68-9\cdot 3=68-27=41](https://tex.z-dn.net/?f=a_%7B10%7D%3D68%2B%2810-1%29%5Ccdot%20%28-3%29%3D68-9%5Ccdot%203%3D68-27%3D41)
This means if a group rents 10 rooms, the charge per room is $41.
He needs 6 more hot dog buns. You just simply subtract 12 from 18.
Answer:
5 visits
Step-by-step explanation:
70 + 12.5 = 82.5 points
145 - 82.5 = 62.5
62.5 ÷ 12.5 = 5
5 visits.
I believe it would be 25.7 miles. I just divide 822.4 by 32.
If f(z)=m^z - n^z <span>and f(1)=2, f(2)=8
then
m - n = 2 so m = n + 2
m^2 - n^2 = 8
substitute </span>m = n + 2 into m^2 - n^2 = 8
so
m^2 - n^2 = 8
(n + 2)^2 - n^2 = 8
n^2 + 4n + 4 - n^2 = 8
4n = 4
n = 1
m = n + 2 = 1 + 2 = 3
so f(z) = 3^z - 1^z
if z = 1 the f(1) = 3^1 - 1^1 = 2
if z = 2 the f(2) = 3^2 - 1^2 = 9 - 1 = 8
if z = 3 the f(3) = 3^3 - 1^2 = 27 - 1 = 26
answer
f(3) = 26