Continuous Compound Interest

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.1

CCSS.HSF.LE.A.2

You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years.

• $1,923.23

• $10,138.07

• $6,701.28

• $800.26

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSN.Q.A.1

How much money do you need to invest at 2.8% compounded continuously in order to have $25,500 at the end of 8 years? Round your answer to the nearest dollar

• $20,383

• $2,715

• $27,147

• $2,038

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.4

The poplulation of Eden is growing continuously at a rate of 1.9%. If the current population is 15,230, about how many years to reach 20,000?

• 31
• 2
• 15
• 68

Tags

CCSS.HSF.LE.A.4

Courtney saved up $2,200 working as a waitress over the summer. She put this money into a bank account that earned 5.2% interest and is compounded daily. How much will she have in her account at the end of 4 years?

• $2201.25
• $2694.55
• $2707.45
• $2708.63

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

ln(x), read as the natural log of x, means log base "e" of x.

• True

• False

In 2000, China's population was 1.26 billion. By 2007, it was 1.32 billion. Use  $y=a\ e^{\left(kt\right)}$  and calculate  $k$  .  Hint:  let the year 2000 be  $t=0$  .

• 0.0066

•  $-0.4019$  

• 0.0397

• 2.1783

 $y=1.13e^{0.015t}$  represents India's population in billions, where  $t=0$  is 2007.  How many years will it take to reach 1.5 billion?

• 66.3 years

• 18.9 years

• 88.5 years

• 1.9 years

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

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B