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Using compound interest and continuous compounding, it is found that Lincoln would have $15,856 more in his account than Eli.
<h3>What is compound interest?</h3>The amount of money earned, in compound interest, after t years, is given by:
In which:
- A(t) is the amount of money after t years.
- P is the principal(the initial sum of money).
- r is the interest rate(as a decimal value).
- n is the number of times that interest is compounded per year.
Hence, for Lincoln, we have that the parameters are as follows:
P = 49000, r = 0.06125, n = 365, t = 20.
Hence the amount will be of:
The amount is given by:
For Eli, we have that r = 0.05625, hence the amount will be given by:
It is given by:
Lincoln would have $15,856 more in his account than Eli.
More can be learned about compound interest at brainly.com/question/25781328
Step-by-step explanation:
{-1,2,3,4,5,6,8} is the answer
The surface area of the composite solid is 579.84 square feet
<h3>How to determine the surface area of the solid?</h3>The composite solid that completes the question is added as an attachment
From the attached figure, we have the following figures:
- Rectangular prism
- Cylinder
The surface area of a rectangular prism is
A = 2(lw + lh + wh)
Using the dimensions of the prism, we have:
A = 2(6 * 11 + 6 * 8 + 8 * 11)
This gives
A = 404
The surface area of a cylinder is
A = 2πr^2 + 2πrh
Using the dimensions of the cylinder, we have:
A = 2 * 3.14 * 4^2 + 2 * 3.14 * 4 * 5
Evaluate
A = 226.08
The area of the circle between both shapes is
A = πr^2
This gives
A = 3.14 * 4^2
A = 50.24
The surface area of the composite solid is then calculated as:
Surface area = Area of rectangular prism + Area of cylinder - Area of circle
This gives
Surface area = 404 + 226.08 - 50.24
Evaluate
Surface area = 579.84
Hence, the surface area of the composite solid is 579.84 square feet
Read more about surface areas at:
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