In 2018, the population will grow over 700,000.the population of a city in 2010 was 450,000 and was growing at a rate of 5% per year. in what year will the population be over 700,000? show all work.

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is,

Growth rate is,

Final population is,

A population growth is an exponential growth and is modeled by the following function:

Taking log on both sides, we get:

Plug in all the given values and solve for 'x'.

So, for , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

is there a picture

step-by-step explanation: