The formula of the area of the circle:
π × radius^2
In this case, given that the radius is 14 inches:
π × 14^2
=196π square inches
Therefore the answer is 196π square inches.
Hope it helps!
The formula to use is
A = P*(1+r/n)^(n*t)
where P, r and t are fixed values given as such
Note how I'm using the decimal form of 6%. If we let n vary, then we're basically making this the x value. So replace n with x. Let A = f(x)
Doing all these substitutions has
A = P*(1+r/n)^(n*t)
transform into
f(x) = 10900*(1+0.06/x)^(x*9)
which can be typed into desmos as you can see in the attached screenshot image below
Then on the next line, you can input f(1) to find the y output value when x = 1. This is the same as finding the value of A when n = 1. In other words, this finds out how much money you get after compounding annually (or 1 time per year). Repeat for...
- f(2) for semiannually compounding
- f(4) for quarterly compounding
- f(12) for monthly compounding
- f(52) for weekly compounding
- f(365) for daily compounding
The continuous compounding will need another formula. That formula is
A = P*e^(r*t)
The A, P, r and t are the same from before. The new addition is the 'e'. This is a special constant much like pi = 3.14 is. In this case, e = 2.718 approximately. This number 'e' shows up in a lot of math problems.
Using the combination formula, it is found that the number of ways to choose the presenters is given by:
C. 462.
The order in which the presents are chosen is not important, hence the <em>combination formula</em> is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In this problem, 6 students are chosen from a set of 11, hence the number of ways is given by:
More can be learned about the combination formula at brainly.com/question/25821700
#SPJ1
-8c means -8 times c. The c is a placeholder for a number. Think of it as a box that holds the number.
The value that goes in the box is 5 because -8 times 5 = -40. We can find this through trial and error. Or the best way is to divide both sides by -8. Why divide? Because we want to undo what is happening to the variable to isolate it.
So divide both sides by -8 to get...
-40 = -8*c
-40/(-8) = -8*c/(-8)
5 = c
c = 5
And as a check, we can plug this value of c back into the original equation
-40 = -8*c
-40 = -8*5
-40 = -40
so the answer checks out