Exponential Functions

The attendance at the art museum at the New Year’s opening was 250 people. The attendance has been increasing at a rate of 3% each month. How many people will attend by the end of a year?

• 356
• 265
• 5825
• 1329

Tags

CCSS.HSF.BF.A.2

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

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.HSA.CED.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

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.2

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.B.5

If you invest $5,000 into an account paying 6% interest compounded continuously, how many years will it take until there is $8,000 in the account?

• 7.83 years

• 6.83 years

• 9.67 years

• 8.67 years

Tags

CCSS.HSF.LE.A.4

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

• $12712.31
• $12,749.30
• $12,657.59
• $12550.84

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.B.4

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

• $1,584.62
• $2,651.39
• $2,706.86
• $1,825.10

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

Suppose you deposit $500 in a savings account that earns 1% interest compounded continuously. Find the balance in your account after 2 years.

• $510.05

• $3694.53

• $510.10

• $605

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.HSF.LE.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.BF.A.1

CCSS.HSA.SSE.A.1