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Ratling [72]
3 years ago
13

Sally is buying a hearing aid that costs $5,000. her insurance pays $2,900 of the cost. Sally will get a loan to pay the remaini

ng amount. The loan interest is free, if Sally pays a minimum of $75 per month and pays off the loan in a year. To be financially responsible, Sally wants to pay off the loan in one year. What is the minimum monthly payment Sally can make each month to pay of the loan in equal payments?
Mathematics
1 answer:
Illusion [34]3 years ago
8 0

Answer:

$ 175

Step-by-step explanation:

Create an equation:

5000 = ax + 2900

a > 75

x = 12 months

5000 = 12a + 2900

12a = 2100

a = 175

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The given inequalities are y\leq 2x-2 and y\leq x^{2} -3x.

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

<h3>What is an example of a system of inequalities in real life?</h3>

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

For (-2, -1), -1\leq 2(-2)-2 \implies -1\leq -6.

This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.

For (1, 3), 3\leq 2(1)-2 \implies 3\leq 0

This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

For (2,1), 1\leq 2(2)-2 \implies 1\leq 2.

1\leq 2^{2} -3(2) \implies 1\leq -2

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Both statements are true. Therefore (4,2) is a solution and option D is correct.

To learn more about inequalities visit:

brainly.com/question/20383699.

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Step-by-step explanation:

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