The Rule for 10: Numbers that are divisible by 10 need to be even and divisible by 5, because the prime factors of 10 are 5 and 2. Basically, this means that for a number to be divisible by 10, the last digit must be a 0. Take a look at the last digit: 23,890. The last digit is a 0.
An arithmetic sequence is defined by a starting value and a common difference, and once you have those values, you can write:
, with
being the starting value and
being the common difference.
We know that the starting value is
, since that's the balance this month. The common difference is the difference between two consecutive terms, which is
Therefore, the arithmetic sequence is
.
This corresponds to the first and third options. However, the question of how many months you can pay the bills remains.
We can no longer pay our bills when the balance becomes zero or less, so we solve for the greatest value of
satisfying
.
Expanding, this becomes
,
which is equivalent to
. Dividing by
gives
(the
is an approximation, but it's close enough for our purposes).
Since
has to be an integer, the maximum value of
is
. Thus, the third option is correct. (
<span>A(n) = 740.00 + (n - 1)(-32.40); 23 months)</span>
Answer:
Any number other than 2
Step-by-step explanation:
First, solve the equation
4x +3 = 11
Subtract 3 on both sides
4x=8
Divide by 4 on both sides
x=2
Since 2 is the solution, any number other than 2 would make the equation false
Hope this helps! :)
Answer:
she got back 63 times
Step-by-step explanation:
Here, we want to know the number of times she is at bat
from the question, we are made to know that she strikes out twice after 9 times
So striking out 14 times, the number of times she has got back will be ;
14/2 * 9 = 63 times
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(3,8)(-7,11)
d = sqrt (-7 - 3)^2 + (11 - 8)^2
d = sqrt (-10^2) + (3^2)
d = sqrt (100 + 9)
d = sqrt 109
d = 10.44
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mid-point formula : ((x1 + x2) / 2 , (y1 + y2) / 2)
(-9,5)(21,-7)
midpoint = ((-9 + 21)/2 , (5 + (-7)/2)
= ((12/2) , (-2,2))
= (6, -1) <==
=======================
(-8,7)(-9,11)
midpoint = ((-8 + (-9) / 2, (7 + 11)/2 )
= (-17/2, 18/2)
= (-8.5, 9) <==
======================
(8,y)(-11,6).....midpoint = (-1.5/5)
midpoint = ((8 + (-11)/2, (y + 6)/2)
= (-3/2), (4 + 6)/2
= (-1.5,5)
y = 4 <==
======================
slope = (y2 - y1) / (x2 - x1)
(3,-6)(6,12)
slope = (12 - (-6) / (6 - 3) = (12 + 6) / 3 = 18/3 = 6 <==
======================
(x,10)(-4,8)...slope = 2/3
y = mx + b
slope(m) = 2/3
(-4,8)...x = -4 and y = 8
sub and find b
8 = 2/3(-4) + b
8 = -8/3 + b
8 + 8/3 = b
24/3 + 8/3 = b
32/3 = b
equation is : y = 2/3x + 32/3 or 3y = 2x + 32
when y = 10
3(10) = 2x + 32
30 - 32 = 2x
-2 = 2x
-2/2 = x
-1 = x <===
=================
(9,0)(3,y)...slope = 1/2
y = mx + b
slope(m) = 1/2
(9,0)...x = 9 and y = 0
sub and find b
0 = 1/2(9) + b
0 = 9/2 + b
-9/2 = b
equation is : y = 1/2x - 9/2 or 2y = x - 9
sub in 3 for x and solve for y
2y = 3 - 9
2y = -6
y = -6/2
y = -3 <==
=================
(8,7)(11,7)...notice how the y values are the same. This means it is a horizontal line. A horizontal line has a slope of 0.
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sorry...not too good with the picture graphs