area = length times width, so length = area / width
5 1/5 mi^2 5.2 mi^2
Here, length = ------------------- = --------------- = 2.66666... mi = 2 2/3 mi (answer)
1 19/20 mi 1.95 mi
Using the simple interest formula, it is found that the APR for the loan is of 4.472%.
<h3>What is the simple interest formula and when it is used?</h3>
Simple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
![A(t) = A(0)(1 + rt)](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20%2B%20rt%29)
In which:
- A(0) is the initial amount.
- r is the interest rate, as a decimal.
The parameters for this problem are:
A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.
We solve the equation for r to find the APR.
![A(t) = A(0)(1 + rt)](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20%2B%20rt%29)
![3067.08 = 3000(1 + 0.5r)](https://tex.z-dn.net/?f=3067.08%20%3D%203000%281%20%2B%200.5r%29)
![1 + 0.5r = \frac{3067.08}{3000}](https://tex.z-dn.net/?f=1%20%2B%200.5r%20%3D%20%5Cfrac%7B3067.08%7D%7B3000%7D)
1 + 0.5r = 1.02236
r = (1.02236 - 1)/0.5
r = 0.04472.
More can be learned about simple interest at brainly.com/question/25296782
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Answer:
C. x+y = 1 and -x-y = -1
Step-by-step explanation:
Remember that if a system of equations has an infinite number of solutions, then the resulting equation from using the first step of the elimination method would have no variables and would be true.
1) Let's try canceling out the equations in option C, x+y =-1 and -x-y =-1. Add the two equations together. (Work shown in attached picture.)
2) All of the terms cancel out with each other, leaving only a true statement of 0 = 0. Thus, option C is the answer.
Answer:
30 square feet
Step-by-step explanation:
The area of a trapezoid is equal to (a+b)/2 * h
In this case, the value of a is 5, b is 10, and h is 4. You can substitute those numbers into the formula and get the answer of 30.
699,548
655,417
689,414
701,000