answer:
Step-by-step explanation:
On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).
now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is 
, where (p,q) is the turning point. now we substitute the turning point
, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.
0 = a(3.15 - 0.76)^2 + 57
-57 =a(2.39)^2
-57 = a(5.7121)
-57/5.7121 =a
-9.9788169 = a then we substitute a to get the quadratic equation therefore f is
I attached a picture with the answer, hope this helps :)
Answer:
You should choose an account with a 7% annual interest rate which is compounded quarterly
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
part 1)
we have
substitute in the formula above
part 2)
we have
substitute in the formula above
So basically what you want to do is square root this, since to find the area of a square from the side length, you square it, (x * x, because the area for a quadrilateral is base * height, and a square has the same length of sides).
So there is no way to properly square root a number unless you memorize it. However, what you can do, is look at the last digit and make an approximation, at which two numbers multiply together to have a last digit of 6.
So, 4 * 4 and 6 * 6 are the two that square to have a last digit of 6.
(1: 1, 2: 4, 3: 9, 4: 6, 5: 5, 6: 6, 7: 9, 8: 4, 9: 1, 0: 0) If that makes any sense.
So basically the square root has to end with 4 or 6.
Now, you can just approximate. It would be over 20, because 20 squared (20 * 20) is equal to 400. But it would be under 30, because 30 squared is 900.
So the two possible numbers are 24 and 26.
If you square both of them, you find that:
24 squared = 576
26 squared = 676
So therefore 26 is the square root of 676, so therefore one side is 26 yards.
Hope this weirdly long explanation helped :)
