Step-by-step explanation:
First we need to isolate the y, by dividing -4 on both sides. This will give you y = 1/4x - 5.
Now you can properly graph the equation:
Since -5 is the y-intercept (the point in which the line intercepts the y-axis), we will place our first point at (0,-5) on the graph.
In order to find the next point, we will use the slope of the line and do rise/run. So we will go upwards 1 unit and to the right 4 units.
(Image of graph will be attached above⤴⤴⤴)
Hope this helps you :)
Answer:
Correct answer: (x-√2)² + (y-√5)² = 3
Step-by-step explanation:
Given data: Center (x,y) = (√2,√5) and r = √3
The canonical or cartesian form of the equation of the circle is:
( x-p )² + ( y-q )² = r²
Where p is the x coordinate of the center, q is the y coordinate of the center and r is the radius of the circle.
God is with you!!!
Answer:
the rate compounded semi-annually is compounded twice in a year. thus, this rate is higher than the rate compounded annually which is compounded once in a year
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r/m)^mn
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
For example, there are two banks
Bank A offers 10% rate with semi-annual compounding
Bank B offers 10% rate with annual compounding.
If you deposit $100, the amount you would have after 2 years in each bank is
A = 100x (1 + 0.1/2)^4 = 121.55
B = 100 x (1 + 0.1)^2 = 121
The interest in bank a is 0.55 higher than that in bank B
it hasn't been specified which ticket the question's is asking but I'm guessing the price of the adult ones so $30.00
altogether that's two adults and 3 children who all paid a total of $105.00
let's simplify that to algebra
children tickets = c adults tickets = a
3c + 2a = $105.00
we know that 1c is 0.5a because each child ticket is half of an adults one <em>as stated in the question</em>
so in terms of (adults) a: half of 3 meaning 3×0.5= $1.5 meaning 1.5a
so now <em>3c = 1.5a</em>
so we can substitute and have like terms
meaning 1.5a + 2a= $105
3.5a =$105.00
divide by 3.5 on both sides to get a by itself thus the value of a:
a = $30
so each adult tickets cost $30
