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Growth/Decay
Continuous Interest
Definitions
Compound Interest
Compound Interest Word Problems
100

A town with a population of 5,000 grows at a rate of 3% a year. What is the population in 10 years?

What is 6,719

100

You invest $1,050 at 4.24% interest compounded continuously.  How much is in account after 5 years? Round to nearest cent. 

What is $1,297.96

100
The interest rate charged on a principal
What is Rate
100
P = $13,000; R = 4%; N = semiannually; T = 4 years
What is $15,231.57
100
John invested $16,000 at 3% compounded annually for 7 years. Find A.
What is $19,677.98
200

Amy makes an initial investment of $3,000.  The investment loses 4% a year.  Find the amount Amy has at the end of 8 years?

What is $2,164.17

200

$500 compounded continuous for 3 years at 5%

What is $580.92

200
The amount of money invested or borrowed
What is Principal
200
P = $52,500; R = 8%; N = annually; T = 8 years
What is $97,173.84
200
Mary borrowed $450 at 8% compounded semiannually for 3 years. Find A.
What is $569.39
300

A solution of 250ml loses 7.25% of it's mass every day.  How many ml after 10 days?

What is 117.8ml

300

John bought a laptop and financed $750.  The interest was compounded continuously at 2.25%.  How much interest was accrued if no payment was made after 2 years? 

What is $34.52

300
When money is compounded four times a year
What is Quarterly
300
P = $453,900; R = 12%; N = quarterly; T = 3.5 years
What is $685,203.15
300
Carlos invested $147,000 at 13% compounded monthly for 5.5 years. Find A.
What is $299,342.20
400

John's Corvette worth $15,500 loses 4.25% of its value every year.  What is the vette worth after 10 years?

What is $10,039.67

400

If Jimmy invested $4,500 into the bank at a rate of 11.5% compounded continuous for 25 years, how much will he have in his account?

What is $79,764.41

400
Interest + Principal
What is Total or Amount
400
P = $3,927; R = 14%; N = monthly; T = 1.5 years
What is $4,838.77
400
Jeremy borrowed $96,300 at 3% compounded annually for 8 years.
What is $121,989.96
500

A certain microbe of 3.25mg multiplies at a rate of .03% an hour. How many miligrams is the microbe at the end of 1 day?

What is 3.27mg

500

You invest $1 compounded continuous at 10% rate for 50 years.  How much do you have?

What is $148.41

500
When money is compounded two times a year
What is Semiannually
500
P = $64,000; R = 5%; N = quarterly; T = 3 1/4 years
What is $75,216.89
500
Ken invested $372.28 at 7% compounded quarterly for 2 2/3 years. Find A.
What is $447.96