Rick deposited $2,800 into an account 10 years ago for an emergency fund. Today, that account is worth $3,980. What annual rate of return did Rick earn on this account assuming no other deposits and no withdrawals

Annual rate of return = 3.6%

Explanation:

The total amount that an investment made today would become if invested at a particular rate for certain number of years is known as the future value.

The future value formula would be used to work out the annual rate of return

FV = PV × (1+r)^n

The $3,980 is the  future value, the 2,800 is the present value and the 10 is the number of period.

So applying the formula , we have

3,980 = 2,800 × (1+r)^10

Divide both sides by 2,800

(1+r)^10= 3,980/2,800

(1+r)^10 = 1.421428571

I+r = 1.42142 ^(1/10)

1+r=1.03579

collect like terms

r=1.0357918-1

r =0.035791

r=0.035791× 100

r= 3.579%

Annual rate of return = 3.6%

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