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ale4655 [162]
3 years ago
14

$-25.20, $52.75,$-22.04,$-8.50,$94.11 If Graham's balance in the account was $47.86 at the beginning of the moth what was the ac

count balance at the end of the month?
Mathematics
1 answer:
lara [203]3 years ago
4 0
47.86-25.20+52.75-22.04-8.50+94.11\\138.98

$138.98
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Choose the correct simplification of 8x2(4x 2x2 − 1). (5 points) group of answer choices 32x4 − 16x3 8x2 32x4 16x3 − 8x2 16x4 −
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The second option is the correct answer

16x^{4}+40x^{3} -24x^{2}

The expression given to us is:

8x^{2} (5x+2x^{2}-3 )

Herein, we can simplify it by opening up the bracket and multiplying each term inside the bracket by the term which is outside the bracket.

Thus, we get:

8x^{2} (5x+2x^{2}-3 )=8*5x^{2+1} +8*2x^{2+2}-8*3x^{2}

40x^{3} +16x^{4}-24x^{2}

Rearranging the above expression in descending order of power we get:

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Learn more about equation here brainly.com/question/14180340

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Answer:

Step-by-step explanation:

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1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:

\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\  \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\  \\ 500\pi+\frac{125\piα}{72}=625\pi \\  \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi  \\  \\ \frac{125\pi α}{72}=125\pi  \\  \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi  \\  \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\  \\ α=72^{\circ} \\  \\  \end{gathered}

Thus, the centra angle of that shaded area is 72º

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