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.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Which of the following is the value of x given;

e^(x+6) = 12

• x = ln 6

• x = -6 + ln12

• x = ln72

• x = ln(-2)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

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.HSF.LE.B.5

Hugo opened a savings account and deposited $800 as principal. The account earns 4% interest, compounded continuously. What is the balance after 5 years?

• $832.00

• $977.12

• $973.32

• $960.00

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

Travis earned $180.72 doing odd jobs last summer and put it in a saving account that earns 15% interest compounded continuously. If he doesn't touch his money for 8 years, how much will he have?

• $400

• $500

• $553

• $600

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

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.HSA.CED.A.1

CCSS.HSA.CED.A.4

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

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.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.4

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

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