Answer:
$2,247.20
Step-by-step explanation:
Lets use the compound interest to solve this problem:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
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First, change 6% into a decimal:
6% -> -> 0.06
Now, plug the values into the equation:
The balance after 2 years will be $2,247.20
Answer:
x=0
x=12
Step-by-step explanation:
Set up the equation
x^2-12x=0
Factor out x
x(x-12)=0
Set each factor equal to 0.
x=0
(x-12)=0
x=12
Answer:
yes
Step-by-step explanation:
YOU DID IT'S A GOOD DAY
Given:
Quadrilateral PQRS
P(o, o), Q(a+c, o), R(2a+c, b), S(a, b)
Find:
whether the diagonals are perpendicular using coordinate geometry
Solution:
If the diagonals are perpendicular, their slopes multiply to give -1.
The slope of PR is
(b-o)/(2a+c-o)
The slope of QS is
(b-o)/(a-(a+c)) = (b-o)/(-c)
The product of these slopes is
(b-o)·(b-o)/((2a+c-o)(-c))
This value will not be -1 except for very specific values of a, b, c, and o.
It cannot be concluded that the diagonals of PQRS are perpendicular based on the given coordinates.