need help with solving this 20. (8) The population of Omaha in 2000 was 390,007 and grew to 414,521 in 2005. The population growthis modeled by the exponential law A =A,e where t is the number of years after 2000.a. Use the above information to find the growth rate, k. Round k to 4 decimal places.k =b. Write the exponential model for the population growth in Omaha using the population in 2000 as theinitial amount Ao.c. If the city continues to grow according to this model, what was the population in 2013? Round to thenearest person.

Name: need help with solving this 20. (8) The population of Omaha in 2000 wa
Uploaded: 2024-03-20T07:06:27.000Z
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Description: need help with solving this 20. (8) The population of Omaha in 2000 was 390,007 and grew to 414,521 in 2005. The population growthis modeled by the exponential law A =A,e where t is the number of years after 2000.a. Use the above information to find

Given In 2000, population was 390007 In 2005 , population was 414521 Let t be the number of years since 2000 t=0, A=390007 t=5, A= 414521 use equation A=A0ekt A0 is the initial population that is 390007 A=390007ekt A=390007ekt t=5, A= 414521, use this information to find the value of k 414521=390007ek(5)414521390007=ek(5)Take ln on both sidesln414521390007=5kdivide both sides by 5k=ln4145213900075k=0.0122A=A0ekt Replace the initial values and the value of k Exponential model is A=390007e0.0122twe need to find the population in 2013 t=0 in the year 2000 t=13 for year 2013 So we plug in 13 for t to find out A A=390007e0.0122tA=390007e0.0122(13)A=457037 Population in 2013 is 457,037