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Murljashka [212]
3 years ago
15

Yesterday, Jed's bank account balance was –$26.34. He deposited some money into his account so that the balance is now $42.18.  

How much did he deposit into his account?
Mathematics
1 answer:
mr Goodwill [35]3 years ago
5 0
Jed's bank account balance yesterday = -$26.34
Jed's account balance now = $42.18
So Jed's balance has recovered from a negative balance to a positive balance. Now it is required to find the amount of money jed deposited to reach this state.
Let us assume that money deposited by Jed = X
Then
X -26.34 = 42.18
X = 42.18 + 26.34
   = 68.52
So Jed deposited $68.52 in his account.
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Integration Rule [Reverse Power Rule]:                                                           \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

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<u>Step 1: Define</u>

<em>Identify.</em>

\displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx

<u>Step 2: Integrate</u>

  1. [Integral] Rewrite [Integration Property - Addition/Subtraction]:           \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {x} \, dx + \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {\cos x} \, dx
  2. [Left Integral] Integration Rule [Reverse Power Rule]:                           \displaystyle \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {(x + \cos x)} \, dx = \frac{x^2}{2} \bigg| \limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} + \int\limits^{\frac{\pi}{2}}_{\frac{\pi}{3}} {\cos x} \, dx
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