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ahrayia [7]
3 years ago
6

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

lance in your checking account? B. The bank charges a $25 fee for paying a check on a negative balance. What is the balance in your checking account after this fee? C. How much money do you need to deposit to bring your account balance back up to $0 after the fee?
Mathematics
1 answer:
zlopas [31]3 years ago
8 0

<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.

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Answer: 7.7 years

Step-by-step explanation:

Given

The cost of HD TV is $700 and it is decreasing at the rate of 15% per year

After one year it becomes

\Rightarrow 700-700\times 15\%\\\Rightarrow 700(1-0.15)

after 2 year it becomes

\Rightarrow 700(1-0.15)-700(1-0.15)\times 15\%\\\Rightarrow 700(1-0.15)(1-0.15)\\\Rightarrow 700(1-0.15)^2

Suppose, after x years it becomes $200

\Rightarrow 200=700(1-0.15)^x\\\\\Rightarrow \dfrac{2}{7}=0.85^x\\\\\text{Taking log both sides}\\\\\Rightarrow x=\dfrac{\ln (\frac{2}{7})}{\ln (0.85)}\\\\\Rightarrow x=7.7\ \text{years}

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2 years ago
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Answer:

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2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

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Answer:

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