Applications involving Exponentials and Logs

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.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Willie invests $8,515 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 20 years?

• $22,017.32

• $23,146.17

• $20,021.95

• $20,943.52

Micaela invests $1,045 in a savings account with a

fixed annual interest rate of 9% compounded continuously. How long will it take for the account balance to reach $1,793.23?

• 5

• 6

• 7

• 8

Tags

CCSS.HSF.LE.A.4

Dan invests $6,570 in a savings account with a

fixed annual interest rate compounded continuously. After 5 years, the balance reaches $8,024.62. What is the interest rate of the account?

• 2%

• 3%

• 4%

• 5%

Eduardo invests $3,071 in a savings account with a

fixed annual interest rate of 7% compounded continuously. How long will it take for the account balance to reach $7,113.56?

• 12

• 13

• 14

• 15

Certain bacteria, given favorable growth conditions, grow continuously at a rate of 4.6% per day. Find the bacterial population after 36 hours, if the initial population was 250. Round your answer to the nearest whole number. (HINT: Convert 36 hours to days before using the Pe^rt formula.)

• 1310

• 268

• 498

• 248069

Match the graph with its equation

• y = log₆(-x) + 1
• y = log₆(x − 2) + 1
• y = log₆(x + 2) - 1
• y = log(x-8) + 1

Tags

CCSS.HSF-IF.C.7E

What are the transformations of this graph?

• Right 1 Up 5
• Right 1 Down 5
• Left 1 Up 5
• Left 1 Down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

Tags

CCSS.HSF-IF.C.7E

Using y=3^x as the parent function, what will y=3^{-x look like?}

• Reflection on the x axis
• Reflection on the line y=x
• Reflection on the y axis
• Reflection on y=0

Tags

CCSS.HSF.BF.B.3