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Mathematics

1 answer:

steposvetlana [31]3 years ago

5 0

Can u answer my resent post pls

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On Monday your bank account balance was -$12.58. Because you didn't realize this you wrote a $30.72 check. A. What is the new ba

zlopas [31]

<u><em>Explanation</em></u>

On Monday, the bank account balance was -$12.58

A. As you wrote a $30.72 check, so the new balance in your checking account will be: $(-12.58+30.72)dollar =18.14$ dollar

B. The bank charges a $25 fee for paying a check on a negative balance. So, the balance in your checking account after this fee $=(18.14-25)dollar= -6.86$ dollar

C. For bringing your account balance back up to $0 after the fee, the money need to deposit $=[0-(-6.86)]dollar =6.86$ dollar.

8 0

3 years ago

If 25% of a number is 45, is the number greater or less than 45? Explain your answer. (Hint: You might want to solve to find wha

Sophie [7]

Answer:

Greater

Step-by-step explanation:

A number must be greater that a small percentage of the number

Greater

---------------------

45% = 0.45

.45 x = 45

Divide both sides by .45

x = 100

5 0

3 years ago

2root3 sin^<a href="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="ac9eec">[email protected]</a> - <a href

Phantasy [73]

Answer:

Step-by-step explanation:

$2\sqrt{3} sin^{2} \alpha -cos\alpha =0\\2\sqrt{3} (1-cos ^2 \alpha )-cos \alpha =0\\2\sqrt{3} -2\sqrt{3} cos^2 \alpha -cos \alpha =0\\2\sqrt{3} cos^2 \alpha +cos \alpha -2\sqrt{3} =0\\cos \alpha =\frac{-1 \pm\sqrt{1^2-4*2\sqrt{3}*(-2\sqrt{3}) } }{2*2\sqrt{3} } \\=\frac{-1 \pm\sqrt{1+48} }{4\sqrt{3} } \\=\frac{-1\pm7}{4\sqrt{3} } \\either~cos \alpha =\frac{6}{4\sqrt{3} }=\frac{\sqrt{3} }{2} \\=cos \frac{\pi }{6} ,cos(2\pi -\frac{\pi }{6} )\\=cos \frac{\pi}{6} ,cos \frac{11\pi }{6}$