Answer:
$45.05
Step-by-step explanation:
Sale price of sweater is (1.00 - 0.15)($50), or 0.85($50) = $42.50. Nya has to pay 6% sales tax on this $42.50. Thus, the final amount due is
(1.00 + 0.06)($2.50) = $45.05
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The intercept can be found when all other variables are equated to zero.
x-intercept when y = 0 and z = 0: 8x + 6*0 + 3*0 = 24 gives x = 3
y-intercept when x = 0 and z = 0: 8*0 + 6y + 3*0 = 24 gives y = 4
z-intercept when x = 0 and y = 0: 8*0 + 6*0 + 3z = 24 gives z = 8
The intercepts are (3, 0, 0), (0, 4, 0), and (0, 0, 8).