1,459.75 - 200.25 - 359.45 - 125.00 - 299.35 = 475.70
475.70 + 375.00 = 850.70
After settling the bills and deposit, her account shows a balance of $850.70
An arithmetic sequence is defined by the property that the difference between each pair of adjacent terms is consistently the same. When this requirement is met, that constant is recognized as the common difference.
This particular sequence is arithmetic, as the difference between each term and the preceding one is
Thus, the common difference is 3.4, considering that the adjacent terms differ by 3.4
A(w) = -w² + 100w
Step-by-step explanation: Initially, we need to express the length (l) of the rectangular area in terms of the width (w). Given that the total perimeter of the rectangle is 200 feet implies that 2(w + l) = 200, leading to l = 100 - w. Hence, the area A can be given as width multiplied by length: A = w * l = w * (100 - w) = -w² + 100w. Consequently, A(w) = -w² + 100w.