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(Lesson 31) The population of Jacksonville, Florida, was 736,000 in 2000 and was increasing at a rate of 1.49% each year. At
this rate, when will the population exceed 1 million?
A.) 2005
B.) 2014
C.) 2019
D.) 2021

Lesson 31 The population of Jacksonville Florida was 736000 in 2000 and was increasing at a rate of 149 each year At this rate when will the population exceed 1 class=

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Answer:

Step-by-step explanation:

Population t years after 2000 = 736,000 × 1.0149^t

736,000 × 1.0149^t = 1,000,000

1.0149^t = 1,000,000/736,000 = 125/92

Take log base 1.0149 of both sides

t ≈ 20.7

Population exceeds a million in 2021

The population exceed to 1 million in 2021.

Given that,

The population of Jacksonville, Florida, was 736,000 in 2000,

And was increasing at a rate of 1.49% each year.

We have to determine,

At this rate when will the population exceed 1 million.

According to the question,

An exponential growth is in the form:

y= abˣ

Where y, x are variables, a is the initial value of y and b> 1.

Initially there is a population of 736,000,

Hence a = 736000.

It is increasing at a rate of 1.49%,

Therefore,  b = 100% + 1.49% = 1.049

Then,

y = 736000(1.049)ˣ

For a population reach to 1 million;

1000000 = 736000(1.0149)ˣ

1.35 = (1.0149)ˣ

x ln(1.0149) = ln(1.35)

x = 20.7 years

x = 21years approx.

Therefore, the it would take 21 years for the population to reach 1 million people.

Hence, The population exceed to 1 million in 2021.

To know more about Fraction click the link given below.

https://brainly.com/question/15738773

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