Answer: $35.6125
Step-by-step explanation:
3.5% = 0.035
Let's find the deposit amount with interest at the end of the first year:
500 + 500 · 0.035 = 517.5
Let's find the amount of the deposit with interest at the end of the second year:
517.5 + 517.5 · 0.035 = 535.6125
Find the total interest earned over two years:
535.6125 - 500 = 35.6125
To create a perfect square trinomial, halve the x coefficient, square it, and then add that value.
In the case of x² + 6x, we would have 6 to get 3, then square 3 to get 9.
We would add 9 to make a perfect square trinomial.
<u>
</u><u>Why this works</u>
A perfect square trinomial is designed to factor to some value (x+n)².
When you FOIL this you get x² + 2nx + n².
As you can see, if you wanted to find the value of that n², you could take that x coefficient 2n, halve it to get n, and then square it to get n²!
We can find this using the formula for arc length (where
is the radius of the circle and
is the central angle in radians):

In our problem, we are given
. This means that:

The measure of the angle is 1.5.
Answer:
The answer to your question is 658.2 ft³
Step-by-step explanation:
Data
Volume = x
height = 11.8 ft
radius = 7.3 ft
Formula
Volume of a cone = 1/3πr²h
Process
1.- Calculate the volume
Volume = 1/3(3.14)(7.3)²(11.8)
Volume = 1/3(3.14)(7.3)²(11.8)
Volume = 1/3(3.14)(53.29)(11.8)
Volume = 1/3(1974.5)
Rounded to the nearest tenth
Volume = 658.2 ft³