Suppose that when Emma was born, her grandparents deposited $20,000 into an account paying 5% interest compounded quarterly. What will the balance be when Emma turns 18? Round to the nearest cent

The balance when Emma turns 18 = $ 48,132.38

Step-by-step explanation:

When interest is compounded quarterly, the accumulated amount after t years will be :

, where P =  principal, r= rate of interest( in decimal)

Given: P= $ 20,000 , r= 5% =0.05

t = 18 years

The balance when Emma turns 18 = $ 48,132.38

if the pizza is divided equally into 2 equal halves then you would get

πr^2/2

where r is the radius of the pizza.

happy to

pls mark as brainliest

(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