Triangular sequence = n(n + 1)/2
If 630 is a triangular number, then:
n(n + 1)/2 = 630
Then n should be a positive whole number if 630 is a triangular number.
n(n + 1)/2 = 630
n(n + 1) = 2*630
n(n + 1) = 1260
n² + n = 1260
n² + n - 1260 = 0
By trial an error note that 1260 = 35 * 36
n² + n - 1260 = 0
Replace n with 36n - 35n
n² + 36n - 35n - 1260 = 0
n(n + 36) - 35(n + 36) = 0
(n + 36)(n - 35) = 0
n + 36 = 0 or n - 35 = 0
n = 0 - 36, or n = 0 + 35
n = -36, or 35
n can not be negative.
n = 35 is valid.
Since n is a positive whole number, that means 630 is a triangular number.
So the answer is True.
Answer:
Explanation:
The row for month 25 shows that after <em>twenty-five payments</em> <u>the balance of the loan is $10,356.03</u>
You are told that the<em> loan amount or principal is $ 19,900</em>.
From those two data, you can calculate <em>how much of the principal has been paid off after </em>25 months, because the amount paid off is equal to the loan less the balance after 25 payments:
- Principal paid off = $ 19,900 - $ 10,356.03 = $9,543.97
k = 5
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Since the coefficient of the x² term is 1 then
add/ subtract (half the coefficient of the x-term )² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 + 14 = (x - 3)² + 5 → k = 5
Answer:
25%
Step-by-step explanation:
let the Market Price of the Watch (M.P.) be x
CP for Rahim=x-[(20/100)*x]
CP = (1 *x) /5 = 4x/5
SP for Rahim = MP = x
Difference (Profit) = SP-CP = x - (4x/5) = (5x - 4x)/5 = x/5
Profit % = (Profit/CP) * 100
Profit % = (x/5)/(4x/5) * 100
Profit % = 25 %
Answer: NONE OF THE ABOVE jk.......the answer is
The distance between the two new numbers is the same as a + (-b)
Step-by-step explanation:hope this helps:) (i took the checkpoint)
