CFA and Quiz Review

Choose all the equations that represent Exponential Decay.

A savings account earns 12% interest each year, compounded semi-annually (2 times a year). If you invest $200 and make no further deposits, which expression represents the balance in the account t years after it is opened?

• 5324.46

• 12000

• 10200

• 1048.25

Rewrite as an exponential: log₂8 = 3

• 3² = 8

• 2³ = 8

• 2⁸ = 3

• 8³ = 2

Find x: log₂(32) = x

• x = 5

• x = 16

• x = 4

• x = 6

Find x: log_x(25) = 2

• x = 1

• x = 12.5

• No Solution

• x = 5

• x = 2

• x = -2

• x = 2.67

• No Solution

A chemical substance has a half-life of 3 days. If you start with 90 grams of the substance, how much will be left after 13 days? Write an equation to help you find your answer.

• about 4.487 grams

• about 0.011 grams

• about 0.9924 grams

• about 4.221 grams

• A.
• B.
• C.
• D.

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