Answer: 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have been given that checking account earnings at Long's Bank are expressed by the equation . The earnings at Fellow's Bank are modeled by . In both cases x is the number of checks written.
To find the number of checks that will generate more earnings at Long's bank then Fellow's Bank, we will set an inequality as:
Now let us solve for x.
Now let us divide both sides of our inequality by -0.04. Since dividing by a negative number swaps sign of inequality, so our inequality will be:
Since the number of checks needs to be integer, so number of checks will be:
Therefore, the number of checks between 0 to 42 checks will generate more earnings income at Long's Bank than Fellow's Bank.
Answer:
The 17th term in arithmetic sequence is 68
Step-by-step explanation:
The general formula of arithmetic sequence is:
aₙ = a₁ + (n – 1)d.
We are given a₆ = 101 and a₉ = 83 and we need to find a₁₇
To find the term a₁₇ we should know a₁ and d. So we would find both
a₆ = a₁ +(6-1)d
101 = a₁ +(5)d
101 = a₁ +5d eq(1)
and
a₉ = a₁ +(9-1)d
83 = a₁ + 8d eq(2)
Subtracting eq(2) from eq(1)
101 = a₁ +5d
83 = a₁ + 8d
- - -
__________
18 = -3d
=> d = 18/-3
=> d = -6
Putting value of d in eq(1)
101 = a₁ + 5d
101 = a₁ + 5(-3)
101 = a₁ -15
=> a₁ = 101+15
=> a₁ = 116
Now finding a₁₇:
aₙ = a₁ + (n – 1)d.
a₁₇ = 116 +(17-1)(-3)
a₁₇ = 116+(16)(-3)
a₁₇ = 116 - 48
a₁₇ = 68
So, the 17th term in arithmetic sequence is 68
(2,7)
(6,12)
(10,17)
Some moderator deleted my response for some reason. I did it mentally.. but I guess I'll show proof.
1) (2,7)
-4y = -5x - 18
-4(7) = -5(2) - 18
-28 = -10 -18
-28 = -28
2) (6,12)
<span>-4y=-5x-18
</span> -4(12) = -5(6) - 18
-48 = -30 - 18
-48 = -48
3) (10,17)
4y=-5x-18
-4(17) = -5(10) - 18
-68 = -50 - 18
-68 = -68
See the pattern? 2,6,10 and 7,12,17?
Done with substitution and trial and error :3333