The value of x in the given equation 
is 0.03
<u>Step-by-step explanation:</u>
The given equation is that
<u>The steps to be followed to solve the equation are :</u>
Add the like terms together to reduce the equation in a simplified form.
Here, there are two x terms and they must be reduced to a single term.
For this, add the both terms together so that the equation is simplified into one x term and a constant term.
⇒ 
⇒ 
To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.
⇒ 
⇒ 
Now, the equation is further simplified by dividing 4.15 on both sides,
⇒ 
⇒ 
Therefore, the value of x is 0.03
3,500 (.024) = 84
84 (5) = $420 in simple interest
Answer:
-1/8
Step-by-step explanation:
lim x approaches -6 (sqrt( 10-x) -4) / (x+6)
Rationalize
(sqrt( 10-x) -4) (sqrt( 10-x) +4)
------------------- * -------------------
(x+6) (sqrt( 10-x) +4)
We know ( a-b) (a+b) = a^2 -b^2
a= ( sqrt(10-x) b = 4
(10-x) -16
-------------------
(x+6) (sqrt( 10-x) +4)
-6-x
-------------------
(x+6) (sqrt( 10-x) +4)
Factor out -1 from the numerator
-1( x+6)
-------------------
(x+6) (sqrt( 10-x) +4)
Cancel x+6 from the numerator and denominator
-1
-------------------
(sqrt( 10-x) +4)
Now take the limit
lim x approaches -6 -1/ (sqrt( 10-x) +4)
-1/ (sqrt( 10- -6) +4)
-1/ (sqrt(16) +4)
-1 /( 4+4)
-1/8
Answer:
The average distance of each observation from the mean is 0.
Step-by-step explanation:
We are given the following in the question:
$7, $20, $9, $35, $12, $15, $7, $10, $20, $25
Formula:
Difference from the mean value of each term:
-9, 4, -7, 19, -4, -1, -9, -6, 4, 9
Average distances =
Thus, the average distance of each observation from the mean is 0.
Suspecting that his parents are going to give him $1,300 continually you would solve like this
$120,000-$100= $19,900
$19,900/$1,300= 92.23
92.23 is the amount of $1,300 donations it would take from his parents, so if he was getting $1,300 month it would take 92.23 months
