The Solution.
The given equation is

Substituting 11 for x, we can get the value of y.

Hence, the value of y is 18.
Answer:

Step-by-step explanation:
We have been given an expression
. We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
We know that a perfect square trinomial is in form
.
To convert our given expression into perfect square trinomial, we need to add and subtract
from our given expression.
We can see that value of b is 11, so we need to add and subtract
to our expression as:

Upon comparing our expression with
, we can see that
,
and
.
Upon simplifying our expression, we will get:


Therefore, our perfect square would be
.
Answer:
31 years to triple the investment
Step-by-step explanation:
Initial investment = 300
Triple amount that is final amount = 300*3= 900
rate of interest = 3.5 % = 0.035
we need to find out number of years (t)
for compounded continuously we use formula

A is the final amount
P is the initial amount
r is the rate of interest
t is the number of years

Divide both sides by 300

take 'ln' on both sides

ln(3) = 0.035t ln(e)
ln(e)= 1

t= 31.3889
Round to nearest whole number
t= 31 years
Answer:
x = 3 and x = -12
Step-by-step explanation:
To solve an absolute value equation, you create two equations, one where the right side is negated and one where the right side isn't:
| 2x + 9 | = 15 becomes:
2x + 9 = 15 and 2x + 9 = -15
2x = 6 and 2x = -24
x = 3 and x = -12
Why this works is that |-x| and |x| will both be equal to 0. Remember that absolute value is the distance a number is away from 0.