Unit 4 Part 1

Front

What does the number 2 represent in the equation y=3(2)^x for bacteria growth?

Back

The rate of bacteria growth.

Front

What is the equation representing the growth of bunnies that increases by 55% each year starting with 5 bunnies?

Back

f(x) = 5(1.55)^t

Front

How much money will Kimi have after investing $4,000 at 3% interest compounded continuously for 4 years?

Back

$4,509.99

Front

What will be the final amount if $500 is deposited in a bank at 3% interest (compounding monthly) for 5 years?

Back

$580

Front

What is the population of Pallet Town after 13 years if it increases by 15% every year starting from 190,000?

Back

1,169,030 people.

Front

Define exponential growth in the context of population or bacteria.

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.

Front

What is the formula for continuous compounding interest?

Back

A = Pe^(rt), where A is the amount, P is the principal, r is the rate, and t is time.

Front

What does the term 'compounding' mean in finance?

Back

Compounding refers to the process where the value of an investment increases because the earnings on an investment earn interest as time passes.

Front

What is the difference between simple interest and compound interest?

Back

Simple interest is calculated only on the principal amount, while compound interest is calculated on the principal and also on the accumulated interest.

Front

If a population grows by 10% each year, what is the growth factor?

Back

1.10