How do you work out the rate, time and principal from the compound interest formula?

Part 1)   (see the explanation)

Part 2)    (see the explanation)

Part 3)   (see the explanation)

Step-by-step explanation:

we know that

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

Part 1) Find the Principal P

The values of A,r,n and t are given

Isolate the variable P

Divide both side by    

Part 2) Find the rate r

The values of A,P,n and t are given

Isolate the variable r

Divide both sides by P

Elevated both sides to 1/(nt)

subtract 1 both sides

Multiply by n both sides

Part 3) Find the time t

The values of A,P,r and n are given

Isolate the variable t

Divide both sides by P

Apply log both sides

Apply property of exponents

Divide both side by  

ok

step-by-step explanation:

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.