The time that Carlene would have to wait to buy the desk is 4 years.
<h3>How long would it take before Carlene can afford to buy the desk?</h3>
When an amount of money is compounded, it means that both the amount that was invested and the interest accrued earn interest.
The formula that can be used to determine the time is
N = log(FV / PV) / log(e) / interest rate
log(500 / 400) / log(e) / 0.06 = 3.71 years = 4 years
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The value of z is x(.20) = (.40)y
The surface area of the smaller solid is found to be 214 square meters.
<h3>What is Surface area?</h3>
The surface area is given as the sum of the area of all the faces of a three-dimensional object.
The same shape has equivalent ratio of the surface area to volume. It is given as:
![\rm \dfrac{\sqrt{area_1}}{\sqrt{area_2}}=\dfrac{\sqrt[3]{Volume_1} }{\sqrt[3]{Volume_2} }](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B%5Csqrt%7Barea_1%7D%7D%7B%5Csqrt%7Barea_2%7D%7D%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7BVolume_1%7D%20%7D%7B%5Csqrt%5B3%5D%7BVolume_2%7D%20%7D)
On considering the power of 6 at both the sides of the equation:

Considering area 1 and volume 1 for the larger solid, and area 2 and volume 2 for the smaller solid, substituting the values give:

By solving the above equation, the area of the smaller solid is found as 214 square meters. Thus, option B is correct.
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Answer: Professional sporting event
Explanation: