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Ugo [173]
3 years ago
8

During a phone call, Beyunka was told of the most recent transactions in her company's business account. There were deposits of

$1, 250 and $3,040.57, three withdrawals of $400 each, and the bank removed two separate $35 penalties to the account that resulted from the bank's errors. Based on the information, how much did the balance of the account change?
Mathematics
1 answer:
Norma-Jean [14]3 years ago
4 0

Answer:

The amount of change in the balance of the account is an increase of $3160.57.

Step-by-step explanation:

i) first deposit is given as $1250

ii) second deposit is given as $3040.57

iii) first withdrawal is given as $400

iv) second withdrawal is given as $400

v) third withdrawal is given as $400

vi) first penalty removed is $35

vii) second penalty removed is $35

viii) therefore the change to the balance is given by

$1250 + $3040.57 - $400 - $400 - $400 + $35 + $35 = $3160.57

viii) Therefore the amount of change in the balance of the account is an increase of $3160.57.

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Given:

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The central angle is \theta=\dfrac{\pi}{6}.

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Solution:

Area of a sector is:

A=\dfrac{1}{2}r^2\theta

Where, r is the radius of the circle and \theta is the central angle of the sector in radian.

Putting A=64,\theta=\dfrac{\pi}{6}, we get

64=\dfrac{1}{2}r^2\times \dfrac{\pi}{6}

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64\times \dfrac{12}{\pi}=r^2

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Taking square root on both sides, we get

\sqrt{\dfrac{768}{\pi}}=r

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