Using an exponential model for the data, estimate when the population will exceed 100 million. HELP PLEASE!

Step-by-step explanation:

The rate at which the population is increasing is exponential. The growth rate, r = 57/53 = 1.08

We would apply the formula for exponential growth which is expressed as

A = Pr^t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

A = 100000000

P = 53000000

Therefore,

100000000 = 53000000 × 1.08^t

100000000/53000000 = 1.08^t

1.886792 = 1.08^t

Taking log of both sides,

Log 1.886792 = t log 1.08

0.27572 = 0.033423t

t = 0.27572/0.033423

t = 8.25

Approximately 8years

Therefore, the population will exceed 100 million in 2008

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.