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aivan3 [116]
1 year ago
6

Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today.

Write an inequality that would be used to solve for the least amount of money she needs to deposit to avoid a fee. 524.96 − 32.50 + x ≥ 500 524.96 − 32.50 + x ≤ 500 524.96 + 32.50 − x ≥ 500 524.96 + 32.50 − x ≤ 500
Mathematics
1 answer:
barxatty [35]1 year ago
4 0

Answer:

524.96 − 32.50 + x ≥ 500

Amount need to deposit = $7.54

Step-by-step explanation:

Given:

Amount in checking account = $524.96

Maintain amount = $500

Amount of check = $32.50

Find:

Amount need to deposit

Computation:

Assume, amount need to deposit = x

So,

For avoiding fee

524.96 − 32.50 + x ≥ 500

x = 7.54

Amount need to deposit = $7.54

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Answer:  The correct option is (D) P″(9, -12) and Q″(15, -3).

Step-by-step explanation:  Given that triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″.

The co-ordinates of vertices P and Q are (3, -4) and (5, -1) respectively.

We are to find the co-ordinates of the vertices P″ and Q″.

<u>Case I :</u>  ΔPQR dilated to ΔP'Q'R'

The co-ordinates of P' and Q' are given by

P'(3\times 1.5, -4\times 1.5)=P'(4.5, -6),\\\\Q'(5\times 1.5, -1\times 1.5)=Q'(7.5, -1.5).

<u>Case II :</u>  ΔP'Q'R' dilated to ΔP''Q''R''

The co-ordinates of P'' and Q'' are given by

P''(4.5\times 2, -6\times 2)=P'(9, -12),\\\\Q'(7.5\times 2, -1.5\times 2)=Q'(15, -3).

Thus, the co-ordinates of the vertices P'' and Q'' are (9, -12) and (15, -3).

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2 years ago
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Answer:

9

Step-by-step explanation:

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2 years ago
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The width is half the length, so is
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Answer:

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So the correct answer is:

A) The probability is 0.95 that the percent of adults living in the United States who are satisfied with their health care plans is between 63.6% and 68.4%.

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