Unit 5 Exponentials Most Missed

Match the situation to the needed formula

• y₁~ab^x₁

• Basic exponential setup

• A = SP(1+/-r)^time

• When you're given a table

• Given a starting amount compounded quarterly

• A = Pe^rt

• Given a starting amount compounded continuously

You invest $500 at an annual interest rate of 4.6% compounded continuously. In how many years will the account double?

• 8 years

• 10 years

• 12 years

• 15 years

Match the following to the needed conversion exponents

• (rate)^1/4

• yearly to quarterly

• (rate)¹²

• yearly rate to monthly

• (rate)⁴

• monthly to yearly

• (rate)^1/12

• quarterly to yearly

• (rate)³⁶⁵

• daily to yearly

Mike finds a deal with a yearly interest rate of 5.9%, how much is the monthly interest rate?

• about 0.47%

• about 4.7%

• about 0.047%

• about 12%

• about .059%

Compound interest is being calculated with f(x) = 5000(1 + .05)^4x

What is the real rate? (best trap on the test)

• 5%

• 10%

• 20%

• 40%

f(x) = 50000(0.75)^x represents the value of a car x years after its purchase. Which model represents the monthly value? *note the money does not matter, just the rate

• f(x) = 50000(0.976)^x

• f(x) = 50000(0.03)^x

• f(x) = 50000(0.95)^x

Which of these functions is increasing for all intervals of its domain?

• y = x²

• y = 1/x

• y = 2^x

• y = cos(x)

The exponential table represents the number of bacteria in a sample, per hour, what is the rate?

Mathematical Equivalence

ON

The exponential table represents the number of bacteria in a sample, per hour, when will the bacteria reach 20,000?

• about 12.3 hours

• about 11.8 hours

• about 12.9 hours

• about 13.6 hours

Two different functions are represented in the picture. How far apart are the two y-intercepts?

Mathematical Equivalence

ON