A large spherical structure has a 37.5-foot radius. The sphere is covered with panels. If each panel has an area of about 49 ft2
2 answers:
Answer:
Option (1)
Step-by-step explanation:
Radius of the spherical structure = 37.5 feet
Surface area of each panel = 49 square feet
Sphere is covered with panels.
Therefore, area of the panels needed =
Surface area of the sphere = 4πr²
Here 'r' = radius of the sphere
For a sphere having radius 'r' = 37.5 feet,
Surface area of the sphere = 4π(37.5)²
= 17671.5 feet²
Number of panels required to cover the sphere =
= 360
Therefore, Option (1) will be the answer.
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Using an exponential function, it is found that:
a) The doubling time of the salary is of approximately 20 years.
b) The salary will be of $160,000.
<h3>What is an exponential function?</h3>An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
The growth rate for this problem is:
r = 0.035.
The doubling time is t for which A(t) = 2A(0), hence:
t = 20 years.
You retire in 40 years, which is 2 doubling periods, hence the salary will be of:
40000 x 2 x 2 = $160,000.
More can be learned about exponential functions at brainly.com/question/25537936
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