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ANTONII [103]
3 years ago
9

Bopha bought a bedroom set for $2,600. The sales tax on the purchase was $165.10. Find the sales tax rate (in %)

Mathematics
1 answer:
Citrus2011 [14]3 years ago
7 0

Answer:

6.35%

Step-by-step explanation:

165/2600 x 100

= 165/26

= 6.35

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Me. Krogman usually prices the umbrellas in his store at $8 each. However, on rainy days he increases the price by 75%. How much
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6 plus dollars

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Suppose that the function u and w are defined as follows.
mars1129 [50]

That funky circle in the middle is the composition of the function. It asks you to take a function as an input and to yield an output that's another function. It's one of the five function operations, along with adding, subtracting, multiplying, and dividing.

When you compose, you might find the notation w(u(x)) easier to understand. It's saying evaluate u then evaluate w.

For our functions, the compositions are:

u(w(x)) = u(2x²) = -(2x²) - 2 = -2x² - 2

w(u(x)) = w(-x - 2) = 2(-x - 2)² = 2(x² + 4x + 4) = =2x²+ 8x +8

Now we evaluate each composition at 4.

u(w(4)) = -2(4²) - 2 = -2(16) - 2 = -32 -2 = -34

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Thus, u(w(4)) = -34 and w(u(4)) = 16.

5 0
3 years ago
In triangle ACE, P is the centroid, PF = 6 , and AD = 15 15. Find the measures of PC and AP. Enter your answers as numbers.
xxTIMURxx [149]

Answer:

PC = 12 units

AP = 10 units

Step-by-step explanation:

  • The centroid of a triangle is the intersection of the three medians of the triangle
  • Each median connecting a vertex with the midpoint of the opposite side
  • The centroid divides each median into two parts, which are always in the ratio 2: 1 from the vertex

In ΔACE

∵ P is the centroid of it

∴ P divides CF the ratio 2: 1 from C

∴ PC = 2 PF

∵ PF = 6 units

∴ PC = 2(6)

∴ PC = 12 units

∵ P divides AD at the ratio 2: 1 from A

→ That means AD = 2 + 1 = 3 parts, and AP = \frac{2}{3} AD

∴ AP = \frac{2}{3} AD

∵ AD = 15 units

∴ AP = AP = \frac{2}{3} (15)

∴ AP = 10 units

5 0
3 years ago
Which graph shows the solution to the inequality -3X-/ <20?
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Answer:

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