Exponential Functions- For the following exercise, use the compound interest formula,

$10,200

Step-by-step explanation:

The compound interest formula shown is:

Where

A(t) is the future amount

P is the initial deposit

n is the number of compounding in a year

annual = n is 1

semiannual = n is 2

quarterly = n is 4

etc.

t is the time in years

r is the rate of interest, annually

Now, the equation given is:

Matching this with general equation for compound growth, we can say:

rate of interest per year = 3%

n = 12 , that means monthly compounding

nt = 120

12t = 120

t = 10

So, number of years is 10

and

initial deposit, P is 10,200

The initial deposit made to the account was $10,200

6000 tons

Step-by-step explanation:

dirt thrown by one person = 50 x 2 = 100

there are 5 people in the home

dirt thrown by the family in a month = 100 x 5 = 500

In a year = 500 x 12 = 6000