Consider the following case of exponential growth. Complete parts a through c below. The population of a town with an initial population of 75,000 grows at a rate of 5.5% per year. a. Create an exponential function of the form Q=Q0×(1+r)t, (where r>0 for growth and r<0 for decay) to model the situation described.
Consider the following case of exponential growth. Complete parts a through c below. The population of a town with an initial population of 75,000 grows at a rate of 5.5% per year. a. Create an exponential function of the form Q=Q0×(1+r)t, (where r>0 for growth and r<0 for decay) to model the situation described.
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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Consider the following case of exponential growth. Complete parts a through c below.
The population of a town with an initial population of
75,000
grows at a rate of
5.5%
per year.a. Create an exponential function of the form
Q=Q0×(1+r)t,
(where
r>0
for growth and
r<0
for decay) to model the situation described.2.
Answer the questions for the problem given below.
The average price of a home in a town was
$178,000
in 2007 but home prices are rising by
6%
per year.a. Find an exponential function of the form
Q=Q0×(1+r)t
(where
r>0)
for growth to model the situation described.Q=$nothing×(1+nothing)t
(Type an integer or a decimal.)
3.
toxic radioactive substance with a density of
7
milligrams per square centimeter is detected in the ventilating ducts of a nuclear processing building that was used
55
years ago. If the half- life of the substance is
20
years, what was the density of the substance when it was deposited
55
years ago?The density of the radioactive substance when it was deposited
55
years ago
was approximately
nothing
mg/cm2.
(Round to two decimal places as needed.)
4.
Between 2005 and
2008,
the average rate of inflation was about
2.1%
per year. If a cart of groceries cost
$120
in 2005, what did it cost in
2008?
A cart of groceries cost approximately
$nothing
in
2008.
(Round to two decimal places as needed.)
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