How do you fill in this chart? i’m completely lost it seems really difficult for me and really confusing .

With Compounding Interest, if we compound a certain amount of times, we use the formula A = P (1 + r/n)^nt.

Where,

A = Amount after t (time)

P = Principal, or starting amount

R = Interest rate, as a decimal (ex. if 6%, .06)

N = Number of times in which the value is compounded per year (semiannually = 2, quarter-annually = 4, etc...)

T = The amount of time the money is being compounded over.

So, because the amount of times your value is compounded is the only thing that changes, we will get a value of A every time. All we have to do to the equation is change the amount of times the value is compounded.

So our equation looks like this: A = 900(1 + .06/n)^n(10)

a) Annually, n = 1, because once per year. A = 900(1 + .06/1)^1(10)

b) Semiannually, n = 2, because twice per year. A = 900(1 + .06/2)^2(10)

c) Quarterly, n = 4, because 4 per year. A = 900(1 + .06/4)^4(10)

Hope this helps!!

Best,

Josh

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240