Annual Interest Compounded Continuously

What is the formula for Annual compounded continuously

• A(t) = Pert

• A(t)= Prt

• A(t) = Pe^rt

• P = e^rt

Check all the boxes that have a correct statement about the number "e"

• e is the rational number 2.7

• e is used when interest is compounded daily

• e is the irrational number whose first 6 digits are 2.71828

• e is used when interest is compounded continuously

What does the t stand for in the A(t) = Pe^rt

• Interest

• Principal

• time

• party

The Arnold's took out a loan for $195,000 to purchase a home. At 4.3% interest rate compounded continuously annually, how much will they have paid after 30 years?

• $412,749.79

• $529.305.61

• $708393.38

• $640,891.53

Use y = e^x to evaluate e^1.7 to 4 decimal places.

• 5.4739
• 4.6211
• 2.7183
• 4.8929

Tags

CCSS.HSF-IF.C.8B

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

• $800.26
• $6,701.28
• $10,138.07
• $1,923.23

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.HSF.LE.B.5

Your 3 year investment of $20,000 received 5.2% interest compounded annually.  What is your total return?

• $23,285.05
• $3,285.05
• $2,385
• $32,285

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

P = 26,000 | Rate = 2.4% | 4 years | Compounded Continuously | Amount owed???

• $2,496
• $28,496
• $3,406,924
• $28,619.74

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.HSF.LE.B.5

Compounded Continuously an investment of  $400 at a rate of 35% for 2 years

• $280
• $680
• $1,034.47
• $805.50

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

CCSS.HSF.LE.B.5

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

CCSS.HSF.LE.B.5