Step-by-step explanation:
ISOCELES TRIANGLE AS IT'S TWO SIDES ARE EQUAL BUT IT'S NOT AN EQUILATERAL TRIANGLE BECAUSE ALL THREE SIDES ARE NOT EQUAL.
Answer:
984m
Step-by-step explanation:
so all your doing is:
41 x 24 = 984m
Answer:
a = 2, b = -9, c = 3
Step-by-step explanation:
Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:
(-1,14)
14 = a*(-1)^2 + b*(-1) + c
(2,-7)
-7 = a*2^2 + b*2 + c
(5, 8)
8 = a*5^2 + b*5 + c
Rearranging:
a - b + c = 14
4*a + 2*b + c = -7
25*a + 5*b + c = 8
This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:
A =
1 -1 1
4 2 1
25 5 1
x =
a
b
c
b =
14
-7
8
Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:
inv(A) =
0.055555556 -0.111111111 0.055555556
-0.388888889 0.444444444 -0.055555556
0.555555556 0.555555556 -0.111111111
inv(A)*b
2
-9
3
So, a = 2, b = -9, c = 3
Answer:
y = -1/2x + 4
Step-by-step explanation:
You can see that the slope is -1/2 because of the rise over run.
It also crosses the y axis at 4,
so it is y = -1/2x + 4
Answer:
$13,695.98
Step-by-step explanation:
We can use the continuous compound interest formula to solve:
<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First, lets change 8% into a decimal:
8% -> 
-> 0.08
Now, lets plug in the values:
The account balance after 10 years will be $13,695.98
