The difference between the 6th term and the 9th term of the sequence is 135
<h3>How to determine the difference</h3>
Given that the nth term is;
3n² + 11
For the 6th term, the value of n is 6
Let's solve for the 6th term
= 3( 6)^2 + 11
= 3 × 36 + 11
= 108 + 11
= 119
For the 9th term, n = 9
= 3 (9)^2 + 11
= 3( 81) + 11
= 243 + 11
= 254
The difference between the 6th and 9th term
= 254 - 119
= 135
Thus, the difference between the 6th term and the 9th term of the sequence is 135
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Answer:
no
Step-by-step explanation:
refer to picture for solution
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The total cost when 881 minutes is used is $477.50.
<h3>What are the equation that model the question?</h3>
a + 480b = 277 equation 1
a + 990b = 532 equation 2
Where:
- a = flat fee
- b = variable fee
<h3>What is the flat fee and the variable fee?</h3>
Subtract equation 1 from equation 2
510b = 255
b = 255 / 510
b = $0.50
In order to determine the flat fee, substitute for b in equation 1
a + 480(0.5) = 277
a + 240 = 277
a = 277 - 240
a = $37
<h3>What is the total cost when 881 minutes is used?</h3>
Total cost = flat fee + (variable cost x number of minutes spoken)
$37 + (881 x 0.5) = $477.50
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