Quantitative Reasoning

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10. Construct a proof of the following theorem: (¬P V Q) → (Q → P).


11.lf Monsieur Legendre is charged an interest of $ 42.95 on a loan of $ 950 forseven months, calculate the rate of interest he paid for the loan. Give youranswer in percentage rounded to the nearest 100th.


A buyer plans to purchase $6,800 (retail) of sweaters. Their first purchase is for 50 sweaters costing $35 each that are planned to retail for $88 each. What percent markup must be obtained on the balance of sweater purchased in order to average a 59% markup? (Round your answer to ONE decimal place)


All changes saved 19. A manufacturer gives a discount of 18% off personalized ceramic mugs on orders of 50 or more. If a store purchases 60 mugs with a list price of $12.99each, find the net cost per mug.


25. Jayme's checking account has a balance of $932.08 before she makes a deposit of $432.16. Then, Jayme writes a check for $162.87. Find the new balance in the checking account.


23. Use the checkbook and bank statement below to balance the checkbook. What is the total amount of the checks that have not cleared the account yet?


11. Elizabeth is single and claims 2 withholding allowances. She has monthly earnings of $3,568.00. Use the percentage method to find the federal income tax with holding amount deducted from Elizabeth's pay each month. Use the tables below.


\text { 6. } \begin{array}{r} 1.25 \\ \times 0.04 \\ \hline \end{array} \begin{array}{r}3.08 \\ \times\quad12 \\ \end{array} \begin{array}{r}3.5 \\ \times2.4 \\ \end{array} \begin{array}{r}2.075 \\ \times\quad0.08 \\ \end{array}


3) An anchor line for a tower needs to be replaced. The tower is 96 ft tall.The anchor line is 105 ftong. How far from the tower can it be placed, to the nearest foot?P


\text { 3. Convert the linear equation } \frac{7}{3} x=\frac{4}{3}-\frac{1}{12} y \text { into standard form. }


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