Quantitative Reasoning

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12. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part ofyour response as Part A, Part B, and Part C. Part A: Raul purchased a new laptop that was on sale for 15% off the original price. If Raul paid $865.29 for the laptop, what was the original price? Round answers the nearest cent. Part B: Raul had a coupon for 12% off, which he used to purchase a wireless keyboard and mouse combination at a total cost of $40.99. Calculate the cost of the keyboard and mousebefore the coupon. Part C: The percent decrease formula is B -P1-R'where R is the base, P is the part, and R is the rate.


\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


8.A furniture store sold a bed regularly priced for $ 990.00 for $ 720.00. Thebed was originally purchased for $ 600.00 less 40 %. The store's overhead is 25 % of the regular selling price. Calculate the rate of markdown (as percentage to nearest100th) at whichthe hod was celd the bed was sold.


A microscope is listed for $ 477.00 less 19 2/3 %, 9 %, 7.7 %. What is the equivalent single rate of discount that was allowed? Give your answer in percentage to the nearest 100th.


19. Janet wants to buy a motor scooter within the next couple of years. If she deposits $3,500 into asavings account with continuously compounding interest at 2.75%, how much will Janet have in heraccount to spend on a scooter in 18 months?


) Sally walks 4 miles due north and then 3 miles due east. How far has she walked as the crow flies from her starting point?


) Find all the complex numbers that satisfy z3 = 4v2(1+ i). Write your answers inthe exponential form.[3 marks] \text { (b) Calculate }(1+\sqrt{3} i)^{8} \text {. Write your answers in the exponential form. } (c) If w = u + iv, z = x + iy and w = eiz, find u and v in terms of x and y. (d) The figures in the following table give the average weight (in kg) of an aircraft component for the years 2000, 2001, 2002 and 2003. Estimate the weight of the aircraft component in 2005.


0.What principal will earn $ 219.89 interest at 11.25 % p.a. from November 16,2013 to February 7, 2014? Approximate to the nearest 100th.


17. Which of the following exponential equations represents exponential growth? Select all that apply.


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