The photo shows a small coin. The scale from the actual coin to the photo is

Answer:

  (1/10)∛100 ≈ 0.4642

Step-by-step explanation:

For a cubic shape with volume V, the edge length is defined as...

  s = ∛V

and the surface area is given by...

  A = 6s² = 6V^(2/3)

The area-to-volume ratio is therefore...

  r1 = A/V = 6V^(2/3)/V = 6V^(-1/3)

When the volume V is increased by a factor of 10, the new area-to-volume ratio becomes...

  r2 = 6(10V)^(-1/3)

Consequently, the change factor for the ratio is...

  r2/r1 = (6(10V)^(-1/3))/(6V^(-1/3)) = 10^(-1/3) = (1/10)∛100

The change in surface area per unit volume results in a factor of (∛100)/10.

___

Example

For a cube with side length 2, the corresponding volume equals 2³ = 8, with a surface area of 6·2² = 24. The resulting area-to-volume ratio is 24/8 = 3.

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The area-to-volume ratio changed by a factor of (0.3∛100)/3 = (∛100)/10, as previously noted.

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He invested $2,000 on his computer

Answer:

The correct choice is D.

Detailed explanation

Principal = $9250

interest rate = 7% or 0.07

duration = 5 years or 260 weeks

[ As there are 52 weeks in a year, for 5 years it calculates to 5x52=260 weeks]

Utilizing the formula

Total amount after t years =

where P = principal

r = decimal form of the rate %

n= frequency per year

t = duration (in years)

substituting the values into the formula

Total amount =

=

=

= 9250(1.418733588)

=$13123.29