Answer:
The common difference is -5/4
T(n) = T(0) - 5n/4,
where T(0) can be any number. d = -5/4
Assuming T(0) = 0, then first term
T(1) = 0 -5/4 = -5/4
Step-by-step explanation:
T(n) = T(0) + n*d
Let
S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240
S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220
S2 - S1
= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)
= (5+6+7+8 - 1 -2-3-4)d
= 4(4)d
= 16d
Since S2=220, S1 = 240
220-240 = 16d
d = -20/16 = -5/4
Since T(0) has not been defined, it could be any number.
Answer:
the inequality would be, b/3<=16
Step-by-step explanation:
123,000.... I hope this answers your question
the division of the quarter is 6x
Answer:
Inequality:
120 + 0.05x ≥ 200
Solution:
x ≥ $1,600
Her total weekly sales must be equal to or greater than $1,600
Step-by-step explanation:
Let x represent the weekly sales she must make to reach her goal.
Given;
Pay rate = $8
Weekly total work hours = 15 hours
Commission on sales = 5% = 0.05
Total weekly earnings is;
8×15 + 0.05×x
120 + 0.05x
Minimum Weekly target earnings = $200
So;
120 + 0.05x ≥ 200
Solving the inequality equation;
0.05x ≥ 200 - 120
0.05x ≥ 80
x ≥ 80/0.05
x ≥ 1600
x ≥ $1,600
Her total weekly sales must be equal to or greater than $1,600
