A sum of $10,000 is invested at an annual rate of 8%. Find the balance in the account after 5 years subject to quarterly compounding. Round to the nearest cent.

$14,859.47

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

Our first step is to change 8% into a decimal:

8% -> -> 0.08

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

The balance after 5 years subject to quarterly compounding is $14,859.47

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5