Cracking The SAT Premium

now that    the fractional  exponent    is  gone.   n   =   12  ×       =   12  ×   2^8     =   12  ×   256 =   3,072.

33. 
    

    148 A line crossing two parallel lines creates big angles and small angles. The big angle that
    matches y is split by a line perpendicular to d and e. The big angle is 58 + 90 = 148, which
    is also the value for y. Another way to solve this is to find the third angle of the triangle:
    180 – 90 – 58 = 32. The 32° angle and the y° angle make up a straight line, so 180 – 32 =

    
    


34. 
    


35. 
    

    1.65 The best way to approach this problem is to set up an equation. There is some price such
    that if you add 3% of the price to the price itself, you get $56.65. This means that you can
    set up an equation: x + 3% of x = 56.65, or x + 0.03x = 56.65. Now you can just solve for x,
    and you get the original price, which was $55. Subtract this from $56.65 to get the tax
    $1.65.

    
    


36. 
    

    4 This question looks tough, so work it one step at a time, and start with what you know.
    Sector AOB is a quarter-circle (it covers an angle of 90 out of 360 degrees), so multiplying
    its area (π) by 4 gives you the area of the whole circle (4π). Plugging this into the equation
    for the area of a circle, A = πr^2 , gives you 4π = πr^2 , and the radius must be a positive value,
    so r = 2. This means that the coordinates of point A must be (−2, 0). Because A is on both
    the circle and the parabola, you can plug its x- and y-coordinates into the given equation of
    the parabola, y = x^2 – b. This becomes 0 = (–2)^2 – b, so b = 4.

    
    


37. 
    

    1,374

    
    

First,  calculate   the number  of  plots   in  the garden. Given   that    the garden  measures    10  feet    by

12  feet    and each    plot    is  one foot    by  one foot,   there   are 10  ×   12  =   120 total   plots.  Next

calculate   the number  of  each    type    of  vegetable   plot    as  follows:

120 ×   0.3 =   36  bell    pepper  plots

120 ×   0.3 =   36  cherry  tomato  plots

120 ×   0.25    =   30  squash  plots

120 ×   0.15    =   18  eggplant    plots

According   to  the question,   2   bell    peppers are grown   every   5   days    on  each    of  the 36  pepper

plots.  That    means   that    all the pepper  plots   together    grow    2   ×   36  =   72  peppers in  5   days.   To

determine   how many    peppers would   grow    in  a   month,  set up  a   proportion.

Cross-multiply, and then    divide  by  5   to  find    that    the garden  produces    432 peppers for the

month.  Repeat  these   steps   with    the other   3   vegetables. The 36  tomato  plots   produce 144