Brain Teasers
Exponential Growth
Exponential Decay
Multiplier & Rates
Compound Interest
100
Solve the following equation:
5+5÷5+5*5-5=?
What is 26?
100
You deposit $100 in a savings account that pays 2% annual interest compounded yearly. Write an exponential growth model that represents this situation.
y = 100(1.02)^t
100
You buy a used car for $10,000. It depreciates at the rate of 20% per year. Find the value of the car 5 years later.
$3,276.80
100
Given $1000 compounded quarterly at an annual 12% interest rate. What is the quarterly interest rate?
What is 3%?
100
If you invest $3000 at 6% compounded quarterly, how much money would you have at the end of 5 years?
$4,040.57
200
Solve for C
C=4
200
Chuck deposits $400 in the bank with 6% annual interest compound yearly. How much will he earn after 7 years?
$601.45
200
the population of a town after 10 years is 10,000. The population decreased by 2% each year. What was the population 10 years ago?
What is 12,239 people?
200
Given $1000 compounded quarterly at a 12% interest rate. What are you multiplying the initial amount by?
What is 1.03?
200
If you invest $1,000 at 5% interest compounded semiannually, how much money will you have at the end of 3 years?
$1,159.69
300
What value does not belong?
What is 90?
300
Harrisburg had a population of 48,000 people in 2004. The population increased by 8% per year for the next five years. How many people live in Harrisburg now?
70,528 people
300
Between 1985 and 2000, the population of a city decreased by approximately 3% each year. In 1985 there were 450,000 people. What was the population in 2000?
284,963 people
300
Given
y=5000(1.08)^x
What are you multiplying the initial amount by?
What is 1.08?
300
Calculate the ending amount on a $5000 investment over 10 years with an interest rate of 6% compounded weekly.
$9,107.44
400
Solve for A.
What is A=2?
400
Your account has a total amount of $688.50 after 4 years of 3.5% annual interest compounded yearly. How much money did you put in the bank originally?
$600
400
The value of a stock when purchased is $10 a share. However, over the past 5 days the price went down at a constant rate of 4%. How much is the stock worth now?
$8.15
400
Given:
y=5000(1+.08)^t
What is the number of times the interest is compounded?
What is 1? or What is annually?
400
Jackie is 13 years old. Her dad tells her that if she wants to buy a car in 4 years, she should invest the money she has in her savings account now. They go to the bank and invest her $4500 in a CD that pays 7% interest compounded monthly. What price could he pay for a car when she turns 17? How much money did Tim earn in interest?
Amount in account: $5,949.24; Interest:$1,449.24
500
What number belongs in the box on the top?
What is 72,576?
500
The value of a stock when purchased is $10 a share. However, over the past 5 years the price went up at a constant rate of 2%. How much is the stock worth now?
What is $11.04
500
You bought a used truck 4 years ago that had a depreciation rate of 8% per year. Its value now $10,745.89. How much was the truck when you first bought it?
$15,000
500
Given:
y=5000(1.015)^(4t)
What is the interest rate?
What is 6% annual interest rate? or What is 1.5% quarterly interest rate?
500
Your friend borrows $1000 from you and agrees to pay you back at the end of 4 years with interest. Which scenario would be more beneficial for you for repayment and how much money did you earn in interest?
a.) 5% interest compounded quarterly
b.) 6% interest compounded semiannually
6% (Semiannually) - Total $1,266.77 (BEST DEAL!!)
5% (Quarterly) - Total $1,219,89