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KengaRu [80]
2 years ago
14

A person invested $420 in an account growing at a rate allowing the money to double

Mathematics
1 answer:
AURORKA [14]2 years ago
8 0

Answer:

t=11.9

Step-by-step explanation:

960=420(2)^t/10

2.28571429=2^t/10

add log to both sides

log(2.28571429)=10 t  log(2)

divide by log 2

1.19264508=  10 /t

10(1.19264508)

11.926450779=t

​

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Dilate by a scale<br> factor of 1/2<br> AL<br> D
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The image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:

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  • W' (5/2, 2) or W'(2.5, 2)

`The figure of the dilated image is attached below.

Step-by-step explanation:

Given the triangle ΔDLW withe the vertices

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  • L(1, 5)
  • W(5, 4)

As the scale factor 1/2 < 0, thus the image triangle will be smaller than the original triangle.

The rule of dilation is given by

Dilation: (x, y)  →  (1/2x, 1/2y), centered at (0, 0)

D(0, 2)  → D' (1/2x, 1/2y) → D' (1/2(0), 1/2(2)) = D' (0, 1)

L(1, 5)  → L'(1/2x, 1/2y) →  L'(1/2(1), 1/2(5)) = L' (1/2, 5/2)

W(5, 4)  → W'(1/2x, 1/2y) →  W'(1/2(5), 1/2(4)) = W' (5/2, 2)

Therefore, the image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:

  • D' (0, 1)
  • L' (1/2, 5/2) or L'(0.5, 2.5)
  • W' (5/2, 2) or W'(2.5, 2)

`The figure of the dilated image is attached below.

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