Question

If $2000 is invested at 6% interest, find the value of the investment (in dollars) at the end of 4 years if the interest is compounded continuously. The value is $____

A bacteria culture starts with 1000 bacteria and the population triples after 6 hours. Find an expression for the number y(t)y(t) of bacteria after t hours.
y(t)=

If the bacteria in a culture double in 4 hours, how many hours will it take before 5 times the original number is present?

The half-life of scandium-46 is 83.79 days. If a sample has a mass of 600 mg, find the mass (in mg) that remains after 126 days.

Answer 1

a) where

and

here, and .

Then

.

b) The exponential growth model is , where , and

Here,

Since, the bacteria triples in size after 6 hours, the bacteria population after 6 hours will be

Exponential model,

c)Exponential function will be

So there is a 1.56% decay for scandium-46.