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Winston has just received his monthly credit card statement. He placed eight charges on his card in the last month with a mean of $39.77 Per charge. He knows that seven of the charges were as follows determine the amount of the eighth charge

Winston Has Just Received His Monthly Credit Card Statement He Placed Eight Charges On His Card In The Last Month With A Mean Of 3977 Per Charge He Knows That S class=

Answer :

Given:

Number of charges = 8

Mean charge = $39.77

Other seven charges: $46.06, $39.70, $47.29, $39.13, $44.66, $38.53, $46.89

Let's find the eight charge.

Apply the formula for mean:

[tex]mean=\frac{sum\text{ of charges}}{number\text{ of charges}}[/tex]

Let x represent the eight charge.

We have:

Sum of charges = $46.06 + $39.70 + $47.29 + $39.13 + $44.66 + $38.53+ $46.89 + x = $302.26 + x

Thus, we have:

[tex]\begin{gathered} 39.77=\frac{302.26+x}{8} \\ \\ \text{ Multiply both sides by 8:} \\ 39.77*8=\frac{302.26+x}{8}*8 \\ \\ 318.16=302.26+x \\ \end{gathered}[/tex]

Solving further:

Subtract 302.26 from both sides

[tex]\begin{gathered} 318.16-302.26=302.26-302.26+x \\ \\ 15.9=x \\ \\ x=15.9 \end{gathered}[/tex]

Therefore, the eight charge is $15.90

ANSWER:

$15.90

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