1, The population of a city is modeled by

P(t)=78,300(1.023)t

whereP(t)

represents the number of people andt

is the number of years since 2014.

Approximate the population of the city in the year 2035, rounded to the nearest whole number.

___________people.

2, Lily is planning to invest in a college fund for her granddaughter. She would like the account to grow to $30,000 over 10 years. The account is estimated to earn 1.2% compounded quarterly (4 times a year). To the nearest dollar, how much will Lily need to invest in the account now?

A(t)=P(1+rn)nt

Lily needs to invest $____________.

Round to the nearest cent.

3, Radon-222 decays at a continuous rate of 17.3% per day. Suppose a scientist begins with a sample of 430 mg of Radon-222.

How much will remain in 5 days? Round answer to 5 decimal places.

__________________mg