Introduction to Compound Interest and Exponential Functions

Find the total amount in the account to the nearest cent if the interest is compounded annually.

$2750 at 8% for 2 years

• $2200

• $3207.60

• $8910

• $3222.06

What amount would need to be invested at 4% interest compounded quarterly in order to have $4500 in 5 years?

• $5490.86

• $3366.58

• $3687.95

• $3903.18

Principal: $5000

Interest Rate: 3.75%

Time: 25 years

Compounded Monthly

State the future account balance.

• $12712.31

• $12,749.30

• $12,657.59

• $12550.84

Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much will she have in her account in 10 years?

• $4915.59

• $3933.28

• $2979.81

• $4005.09

Find the balance in the account after the given period.

$5000 deposit earning 1.5% compounded quarterly after 3 years

• $5,229.70

• $7,604.38

• $7,777.27

• $5,538.86

Matt earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually (n=1). What will be his balance after 15 year?

• $827.52

• $831.10

• $839.45

• $846.80

$6500 is invested in a bank account that earns 2.6% interest, compounded monthly. Write an expession that represents the amount of money in the accout after 5 years.

Mathematical Equivalence

ON

If $400 is invested at 35% interest, compounded continuously, for 2 years, what is the ending balance?

• $280

• $680

• $1,034.47

• $805.50

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54

• $2,225.54

• $22,255.40

• $225.54

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth

• Decay