Answer:
210 dollars in 18 hours
Step-by-step explanation:
175 / 15 = 11.6666666667
11.6666666667 times 18 equals 210 dollars
Answer:
She must be sure there is at least $135 in her bank account for the purchase.
She must check to see if any automatic payments are scheduled for her account.
Step-by-step explanation:
just finished that assignment
Answer:
1
Step-by-step explanation:
To find x, set both equations equal to each other.
Answer:
Constructive Proof
Step-by-step explanation:
Let x be a positive integer
x must be equal to sum of all positive integers exceeding it
i.e.
x = x + (x - 1) + ( x - 2) + ......... + 2 + 1
Equivalently,
x = ∑i (where i = 1 to x)
The property finite sum;
∑i (i = 1 to x) = x(x + 1)/2
So,
x = x(x + 1)/2 ------- Multiply both sides by 2
2 * x = 2 * x(x + 1)/2
2x = x(x + 1)
2x = x² + x ------- subtract 2x from both sides
2x - 2x = x² + x - 2x
0 = x² + x - 2x ----- Rearrange
x² + x - 2x = 0
x² - x = 0 ------ Factorise
x(x - 1) = 0
So,
x = 0 or x - 1 = 0
x = 0 or x = 1 + 0
x = 0 or x = 1
But x ≠ 0
So, x = 1
The statement is only true for x = 1
This makes sense because 1 is the only positive integer not exceeding 1
1 = 1
It is a Constructive Proof
A proof is constructive when we find an element for which the statement is true.
Percent change = (new number - old number)/(old number) * 100
If the percent change is positive, it is a percent increase.
If the percent change is negative, it is a percent decrease.
In our case, the number goes from 500000 (the old number) to 60000 (the new number).
percent change = (new number - old number)/(old number) * 100
percent change = (60000 - 500000)/(500000) * 100
percent change = -88%
Answer: the percent decrease is 88%
