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irina [24]
3 years ago
5

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 and solve an inequality to solve for the least amount of money she needs to deposit to avoid a fee.
Select one:
a. 524.96 − 32.50 + x ≥ 500; x ≥ $7.54
b. 524.96 − 32.50 + x ≤ 500; x ≤ $7.54
c. 524.96 + 32.50 − x ≥ 500; x ≥ $57.46
d. 524.96 + 32.50 − x ≤ 500; x ≤ $57.46
(20 points)
Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0
<span>Evelyn has $524.96 in her checking account.
</span><span>She wrote a check for $32.50 today. She left only 524.96-32.50
</span><span>And call amount of money she needs to deposit is x and she has now </span>524.96-32.50+x<span>
But She must maintain a $500 balance to avoid a fee, so we need:
</span>524.96-32.50+x≥500
Solve:
492.46+x≥500 or x≥500-492.46
and x ≥ $7.54

And the answer is a) <span>524.96 − 32.50 + x ≥ 500; x ≥ $7.54</span>
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Answer:

For this exercise we need to solve the next equation:

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We can start substracting 3 at both sides:

3 + 6x - 2 = 2x + 27 - 3

6x = 2x + 25

And then, we can substract 2x::

6x - 2x = 2x + 24 - 2x

4x = 25

Then, we divide by 4:

4x/4 = 24/4

x = 24/4 = 6

Now, we can see if we have done it correctly:

3 + 6*6 = 39

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And we have seen our result is correct

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3 years ago
If y = -12 when x = -9, find y when x = -4
mihalych1998 [28]
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7 0
3 years ago
−13 − (−27) <br> pls help-
sergij07 [2.7K]

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3 0
2 years ago
What is c in 6c + 3y = 18 if y is 2?
Natali [406]

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6 0
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Read 2 more answers
shaquana has a deck that measures 18 feet by 15 feet. She wants to increase each dimension by equal lengths so that its area tri
Svetach [21]

to increase each dimension by equal lengths so that its area triples is 12 feet.

The given dimensions are 18 feet by 15 feet.

We need to find how much should each dimension increase.

Shaquana wants to increase each dimension by equal lengths so that its area triples.

Let the increased length be x.

So, length =18+x feet and width=15+x feet.

As we know, the area of a deck=Length×Width

The original area of a deck=18×15=270 square feet.

Now, the new area of a deck=(18+x )×(15+x)=3×270

⇒270+15x+18x+x²=810 square feet

⇒x²+33x-540=0

Here, a=1, b=33 and c=-540 in x=\frac{-b\±\sqrt{b^{2-4ac} } }{2a}.

⇒x=\frac{-33\±\sqrt{33^{2} -4 \times (-540)} }{2 \times 1}

⇒x=\frac{-33\±\sqrt{1089 +2160} }{2 \times 1}=\frac{-33\±57}{2}

⇒x=-45 or x=12

Length can not be a negative integer.

Therefore, to increase each dimension by equal lengths so that its area triples is 12 feet.

To learn more about the area of a rectangle visit:

brainly.com/question/20693059.

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