Exponential Growth and Decay

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

Tags

CCSS.HSF.LE.A.2

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

• $23,219.72
• $136.72
• $51,710.94
• $16,710.94

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CCSS.HSF.BF.A.2

What is r, the growth rate, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

Tags

CCSS.HSF-IF.C.8B

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29
• $424,527.63
• $57,357.75
• $532,041,076.80

Tags

CCSS.HSA.CED.A.1

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

Tags

CCSS.HSF.LE.A.2

A bacterial colony doubles in size every 6 hours.  There are 90 bacteria present initially. Estimate the population size after 80 hours. What is the answer?

• 1.088 e²⁶
• 94
• 928,914
• 5760

Tags

CCSS.HSF.LE.A.4

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Twelve years ago, Claire put $1,800 in an account that pays an interest rate of 2.5% compounded semiannually.She now plans to take the  money in that account and invest it in another account that earns 4% interest compounded monthly. How much money will be in this new account after 7 years?

• $3,207.40             eating ice cream 
• $3,348.96        chewing gum
• $3,574.15            telling math jokes
• $3,733.62                   tap dancing

Tags

CCSS.HSF.LE.A.2

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

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

Tags

CCSS.HSF.LE.A.4

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

Tags

CCSS.HSF.LE.A.2