Compound Interest and Half-Life

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

Tags

CCSS.HSF.LE.A.2

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.B.5

How long will it take $3000 to double if it is invested in an account that pays 3% compounded continuously?

• 23.1 years

• 22.1 years

• 21.1 years

• 20.1 years

Tags

CCSS.HSF.LE.A.4

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

Tags

CCSS.HSF.LE.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

The half-life of Zn-71 is 2.4 minutes. If one had 100.0 g at the beginning, how many grams would be left after 7.2 minutes has elapsed?

• 100.0g
• 50.0g
• 12.5g
• 8.5g

Tags

CCSS.HSF.LE.A.4

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

Tags

CCSS.HSF.LE.A.4

The half-life of Uranium-48 is approximately 9 days. Find the amount of Uranium-48 left from a 10 gram sample after 36 days.

• .0195
• .625
• 1.25
• .734

Tags

CCSS.HSF.LE.A.4

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?

• -5
• -.05
• .95
• .05

Tags

CCSS.HSF-LE.A.1C

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

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

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

• $15,415.94
• $15,683.28
• $15,927.56
• $16,109.05

Tags

CCSS.HSF.LE.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.B.4