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2 years ago

Which graph represents the solution set of the compound inequality? −5 < a − 4 < 2

Mathematics

2 answers:

never [62]2 years ago

8 0

$-5 < a - 4 < 2\\\\ -1$

the 3rd one

jeyben [28]2 years ago

3 0

Answer:

Correct graph is:

Third

Step-by-step explanation:

we have to determine the graph of the inequality:

−5 < a − 4 < 2

Adding 4 on each side of the above inequality:

-5+4 < a-4+4 < 2+4

i.e. -1 < a < 6

Hence, graph of the inequality −5 < a − 4 < 2 is the set of all values between -1 and 6 and excluding -1 and 6

Correct graph is:

Third

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2 years ago

Whitney bought a watch for $107.50. The finance charge was $11 and she paid for it over 6 months.

Anna11 [10]

Answer:

Her proximate APR is 5.1%

Step-by-step explanation:

The formula of the APR is $APR=\frac{FC}{A}$ × $\frac{m}{12}$ × 100%, where

FC is the finance charge
A is the amount financed
m is the number of months

∵ Whitney bought a watch for $107.5

∴ A = 107.5

∵ The finance charge was $11

∴ FC = 11

∵ She paid for it over 6 months

∴ m = 6

- Substitute these values in the formula above

∵ $APR=\frac{11}{107.5}$ × $\frac{6}{12}$ × 100%

∴ APR = 5.11627907%

- Round it to the nearest tenth

∴ APR = 5.1%

Her proximate APR is 5.1%

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2 years ago

Luke and Lena's parents allow them to borrow against their allowances. The ineguality − $ 11.50 < − $ 10.75 compares the curr

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Answer:

$11.50

Step-by-step explanation:

I believe that $11.50 is the amount that Luke owes to his parents because their parents let them go beyond their allowances. Right now Luke is at debt for $-11.50 and has to pay their parents $11.50.

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2 years ago

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Answer:

Step-by-step explanation:

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1 year ago

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