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Elena-2011 [213]
1 year ago
13

Mr. Thom makes $25,900/year salary as a document processor. He has made the following chart in order to divide his weekly payche

ck into his accounts: Expense type Account Weekly deposits Essential (Fixed) 1st Checking account $219 Essential (Variable) 1st Checking account $115 Non-essential 2nd Checking account $40 Other (Unexpected) Emergency savings account $20 Other (Predictable) Education investment fund $10 Other (Predictable) Retirement investment fund $40 Other (Predictable) Emergency savings account $15 Total paycheck $498 Unfortunately, he has made a mistake in adding the numbers and has not allocated all of the paycheck. If he deposits the difference into the two emergency savings accounts, how much total per week can he then put towards emergency savings?

Mathematics
2 answers:
nydimaria [60]1 year ago
7 0
<span> <span> </span><span><span> Expense Type               Account <span>                              Weekly Deposits </span>
</span> <span> Essential (Fixed) 1st Checking Account <span> $                          219.00
</span> </span> <span> Essential (Variable) 1st Checking Account <span> $                       115.00
</span> </span> <span> Non-essential 2nd Checking Account <span> $                                 40.00
</span> </span> <span> Other (Unexpected) Emergency savings account <span> $                20.00
</span> </span> <span> Other (Predictable) Educational investment fund <span> $                 10.00
</span> </span> <span> Other (Predictable) Retirement investment fund <span> $                  40.00
</span> </span> <span> Other (Predictable) Emergency savings account <span> $                 15.00
</span> </span> <span> Total paycheck <span>                                             $                  459.00
</span> </span> <span> </span> <span> </span> <span>
Total paycheck computed by Mr. Thom <span> $                  498.00
</span> </span> <span> Total paycheck (correct amount) <span>           $                  459.00
</span> </span> <span> difference <span>                                          $                    39.00
</span> </span> <span>
deposited in two emergency savings account </span> <span> $39/2 = 19.50 each account
</span> <span> </span> <span>
Other (unexpected): Emergency savings account <span> 20 + 19.50 = 39.50 </span>
</span> <span> Other (predictable) Emergency savings account <span> 15 + 19.50 = 34.50 

Total per week for emergency savigns accounts:  39.50 + 34.50 =  $74.00                              

</span> </span></span></span>
Vitek1552 [10]1 year ago
3 0

The correct answer is C.

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Given a size of sample 'n' =14

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<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } , x^{-}+ t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

The degrees of freedom γ=n-1 =14-1 =13

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(453.586 , 874.693)

98% confidence interval for the true mean checking account balance for local customers.

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<u>95% of confidence intervals</u>

({s\sqrt{\frac{n-1}{X^{2} _{(\frac{\alpha }{2} ,n-1) } } } ,s\sqrt{\frac{n-1}{X^2_{\frac{1-\alpha }{2},n-1 } } }  )

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(214.91 , 441.53)

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Step-by-step explanation:

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