Veronica earns $150 per week plus 3.5% on sales,while Francis earns 6% commission only

Mathematics

1 answer:

marissa [1.9K]2 years ago

7 0

Answer:

a) Veronica earns $276. Francis earns $216

b) $6000

Step-by-step explanation:

Veronica's income would be I= 0.035s +150 where I is income and s is sales while Francis's income would be 0.06s. So for $3600 in sales Veronica earns $276 while Francis earns $216. To find the answer to part b just set the two equations equal to each other and solve for x. so 0.035x + 150 = 0.06x Subtracting 0.035 x from both sides gives 150 = 0.025x. Dividing both sides by 0.025 gives x = $6000

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Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?

Vladimir79 [104]

Refer to the graph shown below. It confirms that points A, B and P are
collinear.

Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
= 8.9443

Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
= 4.4721

Calculate ratio a/b.
a/b = 8.9443/4.4721 = 2
Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.

Answer: 2:1 ratio.