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Lesechka [4]
3 years ago
11

Jennifer has been saving for college for 57 months. The first month, she saved $11. She was able to save more money each month t

han the month before. She ended up saving $19,779.00. How much more did she save each month?
Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0
This is an arithmetic sequence with first term (a) = 11, number of terms (n) = 57, sum of nth term (Sn) = 19,779.
Let the amount of money she saved more each month be d, then
Sn = n/2(2a + (n - 1)d)
19,779 = 57/2(2(11) + (57 - 1)d)
19,779 = 28.5(22 + 56d)
19,779 = 627 + 1,596d
19,779 - 627 = 1,596d
d = 19,152/1,596 = 12

Therefore, she saved $12.00 more each month.
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Jamie is buying 5 concert tickets, and he wants his total cost to be no more than $4 Above or below $80. Which inequality models
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Answer:

Option C \left|80-5x\right|\le 4

Step-by-step explanation:

Let

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we know that

The total cost to be no more than $4 Above  $80

so

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so

5x\geq 80-4

Solve for x

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therefore

The inequality that represent this problem is

\left|5x-80\right|\le 4

<u><em>Verify</em></u>

<em>First solution (positive case</em>)

+(5x-80)\le 4

5x\le 80+4

Solve for x

x\leq \$16.80 ----> is ok

<em>Second solution (negative case)</em>

-(5x-80)\le 4

Multiply by -1 both sides

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5x\geq 80-4

Solve for x

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Remember that

\left|5x-80\right|\le 4 is equivalent to \left|80-5x\right|\le 4

Because is a absolute value

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