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Natalka [10]
3 years ago
8

The Rule of 72 is a useful approximation for many interest rates and periods for the time it takes a lump sum to double in value

. For a 10 percent interest rate, calculate the time that will be taken for a lump sum to double in value. (Hint: Use the Solver function in Excel.) (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Mathematics
1 answer:
iren2701 [21]3 years ago
3 0

Answer:

The number of years to double the lump sum in value is;

N = 72/10 = 7.20

N = 7.20 years

Step-by-step explanation:

Using the rule of 72 for the approximation:

The formula for rule of 72 is;

Number of years to double = 72/interest rate in percentage

Given;

Interest rate = 10%

The number of years to double the lump sum in value is;

N = 72/10 = 7.20

N = 7.20 years

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Answer:

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`The figure of the dilated image is attached below.

Step-by-step explanation:

Given the triangle ΔDLW withe the vertices

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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

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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:

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Hi!

<h3>The perimeter is equal to </h3>

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