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olga55 [171]
3 years ago
14

At the beginning of this month, the balance of Dillon's checking account was $1000.11. So far this month, he has received a dire

ct deposit of $876.25, and a $10.00 monthly service fee. He used his account's debit card to make a purchase of $23.96, wrote a check for $104.22 that has already been deposited, and deposited a check for $25.00. What is the current balance of Dillon's checking account?
Mathematics
2 answers:
Dahasolnce [82]3 years ago
6 0
$1000.11
+ 876.25
-10.00
-23.96
-104.22
+25.00
= $1763.18
Aliun [14]3 years ago
6 0
1000.11
+876.25
=1876.36

1876.36
-10.00
=1866.36

1866.36
-23.96
=1842.40

1842.40
-104.22
=1738.18

1738.18
+25.00
=1763.18
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Which of the following is the domain and range of the ellipse with equation x2 + 4y2 – 2x + 16y – 19 = 0?
Nata [24]

The option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7], and the range is R: [–5, 1]

<h3>What is an ellipse?</h3>

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.

We have an ellipse equation:

\rm x^{2}+4y^{2}-2x+16y-19=0

We can write the above equation as:

\rm \dfrac{\left(x-1\right)^{2}}{36}+\dfrac{\left(y+2\right)^{2}}{9}=1

The domain will be:

D: [–5, 7]

The range will be:

R: [–5, 1]

Thus, the option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7] and the range is R: [–5, 1]

Learn more about the ellipse here:

brainly.com/question/19507943

#SPJ1

5 0
2 years ago
Find the midpoint of the line segment with endpoints at the given coordinates (-6,6) and (-3,-9)
JulsSmile [24]

The midpoint of the line segment with endpoints at the given coordinates (-6,6) and (-3,-9) is \left(\frac{-9}{2}, \frac{-3}{2}\right)

<u>Solution:</u>

Given, two points are (-6, 6) and (-3, -9)

We have to find the midpoint of the segment formed by the given points.

The midpoint of a segment formed by \left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { and }\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right) is given by:

\text { Mid point } \mathrm{m}=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

\text { Here in our problem, } x_{1}=-6, y_{1}=6, x_{2}=-3 \text { and } y_{2}=-9

Plugging in the values in formula, we get,

\begin{array}{l}{m=\left(\frac{-6+(-3)}{2}, \frac{6+(-9)}{2}\right)=\left(\frac{-6-3}{2}, \frac{6-9}{2}\right)} \\\\ {=\left(\frac{-9}{2}, \frac{-3}{2}\right)}\end{array}

Hence, the midpoint of the segment is \left(\frac{-9}{2}, \frac{-3}{2}\right)

6 0
3 years ago
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NNADVOKAT [17]
Well the answer options are a bit confusing but the steps are 1, 2, & 3.
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ExtremeBDS [4]

Answer:

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Step-by-step explanation:

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14/25 is bigger, when you divide these numbers and look for their decimals, you can tell which one is greater
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