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Kaylis [27]
3 years ago
7

The amount of money in Toni's savings account after x weeks is described by the function f(x) = 5x + 20. Which best interprets t

his function?
1.Toni's savings account started with $5 and increased by $20 each week.
2.Toni's savings account started with $20 and increased by $5 each week. 3.Toni's savings account started with $20 and decreased by $5 each week.
4.Toni's savings account started with $5 and decreased by $20 each week.
Mathematics
1 answer:
musickatia [10]3 years ago
7 0

Answer:

Toni's account started with 20 and increased by 5 each week.

Step-by-step explanation:

20 is the intial amount and 5 is the rate of change.

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The actual speed of the plane with the wind:
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8 0
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A cone of radius 10 cm and height 16 cm is divided into two parts by a plane through the midpoint of its
bazaltina [42]

Answer:

The ratio of their volumes (the top to bottom half) is 1/7

Step-by-step explanation:

The given parameters are;

The radius, r, of the cone = 10 cm

The height of the cone = 16 cm

The point at which the cone is divided = The midpoint of the its axis and parallel to its base

The ratio of the of the volume of the two parts is given as follows;

The volume, V of the entire cone = 1/3 × Base area (π·r²) × Height, h

Therefore;

V = 1/3 × π × 10² × 16 =1600·π/3 =  1675.52 cm³

The height at which the cone is divided = 16/2 = 8 cm

The height, h₁ of the uppermost divided cone = 8 cm

The ratio of the radius to the height of the cone = 10/16 = 5/8

The radius r₁, of the uppermost divided cone = The height of the uppermost divided cone × The ratio of the radius to the height of the cone

∴ r₁ = 8 × 5/8 = 5 cm

The volume, V₁, of the uppermost divided cone = 1/3 × (π·r₁²) × h₁

∴ V₁ = 1/3 × π × 5² × 8 = 200·π/3 = 209.44 cm³

Which gives;

The volume of the lower cone, V₂ =  V - V₁

V₂ =  1675.52 cm³ - 209.44 cm³ = 1400·π/3 = 1466.1 cm³

The ratio of their volumes V₁ : V₂ = V₁/V₂ = (200·π/3)/(1400·π/3) = 209.44/1466.1 = 1/7.

7 0
3 years ago
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zimovet [89]

Answer:

B

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the area of a parallelogram is the length of one of the sides multiplied with the length of the height on this side.

so, in this case it is

4×5 = 20 cm²

5 0
2 years ago
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notsponge [240]
X=-39 answer

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Answer:

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Step-by-step explanation:

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