This equation is about the exponential growth and decay functions. In which “the number y of duckweed fronds in a pond after t days is y=a(1230.25)^t/16, where a is the initial number of fronds. By what percent does the duckweed increase each day? Round the answer to the nearest whole number. (Image shown below)

A car has a purchase price of $24,800. The value declines continuously at an exponential rate of %23 annually. A. Wat is an equation modeling the value of this car after t years? B. What is its value after 6 years? c. How long will it take for its value to be $2000? 2. A bacteria colony grows continuously at an exponential rate. There are initially 1.1 million sent. After 5 days, there are 6.8 million present . a. What is the an equation modeling the number of bacteria present after d days? b. How many bacteria will be present after 7 days? c. How long will it take the number of bacteria to reach 92 million?

A bank features a savings account that has an annual percentage rate of r = 2.9% with interest compounded quarterly. Emma deposits $5,000 into the account. r\ kt The account balance can be modeled by the exponential formula A(t) = al1 -+ where A is account value after t years , a is the principal (starting amount), r is the annual percentage rate, k is the number of times each year that the interest is compounded. (A) What values should be used for a, r, and k? a = r = k (B) How much money will Emma have in the account in 9 years? Amount $ %3D Round answer to the nearest penny. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year). APY % Round answer to 3 decimal places.