Review DCA

Multiple Choice

Jacob borrows $500 from Abraham and agrees to have the loan compounded annually for 5 years with an interest rate of 2.5%. How much will the total amount be that Jacob owes?

• $565.70

• $262609.38

• $65.70

• $630.20

Multiple Choice

Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?

• $6,273.50  frustrated

• $6,314.08 bewildered

• $6,385.72         pleased

• $6,427.94           tickled pink

Multiple Choice

Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?

• $33,299.42      

• $33,672.68  

• $34,157.04        

• $34,710.88      

Multiple Choice

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

• Growth

• Decay

Multiple Choice

The value of a painting is $12,000 in 1990 and increases by 8% of its value each year.  Write and evaluate an expression to estimate the paintings value in 2005.

• 1.08(12,000)^t = $36,000

• 12,000(1.08)^t = $38, 066

• 12,000(0.5)^t = $10,000

• 12,000(0.92)^t = $40,000

Multiple Choice

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. If no other money is added or withdrawn from the account, how much will be in the account after 10 years?

• $3122.18

• $4994.50

• $4440.73

• $86,776.40

Multiple Choice

What does the model P=A(1+r)^t best represent?

• Exponential growth

• Simple Interest

• Compound Interest

• Exponential Decay

Multiple Choice

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

Multiple Choice

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Multiple Choice

Is this exponential growth or decay?

• Growth

• Decay

Multiple Choice

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

• $1,584.62

• $2,651.39

• $2,706.86

• $1,825.10

Multiple Choice

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

Multiple Choice

Given an investment of $1,500:
Which investment would have a larger balance after 5 years?
Option 1 - 4% compounded monthly
Option 2 - 3.9% compounded daily. 

• Option 1

• Option 2

Multiple Choice

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth

• Decay

Multiple Choice

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Multiple Select

Scientists have been monitoring and studying a specific animal population. They have found that the number of animals in the population can be modeled by the following exponential equation:

$$P=1232(.8913)^t$$  

Determine which of the following statements are correct about this population. Select all that apply

• This population is in no danger of extinction

• Without intervention, the population will be extinct in 62 years.

• The population is increasing at a rate of 10.87%

• The population is decreasing at a rate of 10.87%

• In ten years the population will be 390

Multiple Choice

If 10 mg of iodine 131 is given to a patient, how much is left after 24 days? The half-life of iodine-131 is 8 days.

• 1.25mg

• 1.25g

• 10g

• 10mg

Multiple Choice

The half-life of strontium-90 is 25 years. How much strontium-90 will remain after 100 years if the initial amount is 4.0 g?

• 3.0g

• 0.25mg

• 0.3g

• 0.25g

Multiple Choice

What is Half-life?

• The amount of time it takes for some of the nuclei in a sample of the isotope to decay

• The amount of time it takes for half the electrons in a sample of the isotope to decay

• The amount of time it takes for half the nuclei in a sample of the isotope to decay

• the amount of time it takes to double the nuclei in a sample of the isotope to decay

Multiple Choice

The half-life of strontium-90 is 25 years. How much strontium-90 will remain after 100 years if the initial amount is 4.0 g?

• 3.0g

• 0.25mg

• 0.3g

• 0.25g