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Answer:
Given the statement:
8,000 earn in four years compounded daily at 5%
To find the amount we use formula:
where P is the principal , A is the amount , n is number of times compounded per year and t is the time in year.
Here, Principal(P) = $8000, r = 5% and n = 365
Substitute these given values we get;
Simplify:
To find the Interest we use formula:
It is also given that:
8,000 earn in four years compounded annually at 5%.
Here, P = $8000, r = 5% , t =4 year and n = 1
Using the same formula to calculate the amount:
Simplify:
To find the Interest :
Then;
Therefore, $47.23 more would $8,000 earn in four years compounded daily at 5% than compounded annually at 5%
System of equations helps us to compare two different situations. The system is Independent Consistent System.
<h3>What is System of equation?</h3>Inconsistent System
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
Given to us
y = 4x - 4
y = -4x + 4
As we have the two equations, substitute the value of y of both the equations,
4x - 4 = -4x + 4
8x = 8
x = 1
We have the value of x as 1, substitute the value of x in the equation of y,
y = 4(1) - 4
y = 0
Since the two equations have a unique solution, therefore, the system is Independent Consistent System.
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