HELP PLEASE!!! SHOW ALL YOU WORK PLEASE HELP HELP HELP PLEASEUse this information to answer the following questionsThe function a(x) = 210(1.12)x represents the number of ants in ant colony A x days after an experiment starts. The graph represents the number of ants in ant colony B during the same time period. (1st picture is colony B)How many ants in colony A per day, remember colony A is the function (2nd picture)During week 0, how many more ants are there in ant colony A than in ant colony B?Find the growth rate of ant colony A.Find the growth rate of ant colony B.Use 1-2 complete sentences to compare the growth rate of ant colony A with ant colony B.When does the daily number of ants in ant colony B exceed the daily number of ants in ant colony A? Explain your answer using 1-2 complete sentences.I will give even more points to the people who are correct and fast, Please help

Answer:Step-by-step explanation:Notice that with the percent growth, each year the company is grows by 50% of the current year’s total, so as the company grows larger, the number of stores added in a year grows as well. To try to simplify the calculations, notice that after 1 year the number of stores for company B was: 100 + 0.50(100) or equivalently by factoring 100(1+ 0.50) = 150 We can think of this as “the new number of stores is the original 100% plus another 50%”. After 2 years, the number of stores was: 150 + 0.50(150) or equivalently by factoring 150(1+ 0.50) now recall the 150 came from 100(1+0.50). Substituting that, 100(1 0.50)(1 0.50) 100(1 0.50) 225 2 + + = + = After 3 years, the number of stores was: 225 + 0.50(225) or equivalently by factoring 225(1+ 0.50) now recall the 225 came from 2 100(1+ 0.50) . Substituting that, 100(1 0.50) (1 0.50) 100(1 0.50) 337.5 2 3 + + = + = From this, we can generalize, noticing that to show a 50% increase, each year we multiply by a factor of (1+0.50), so after n years, our equation would be n B(n) = 100(1+ 0.50) In this equation, the 100 represented the initial quantity, and the 0.50 was the percent growth rate. Generalizing further, we arrive at the general form of exponential functions. Exponential Function An exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form x f (x) = a(1+ r) or x f (x) = ab where b = 1+r Where a is the initial or starting value of the function r is the percent growth or decay rate, written as a decimal b is the growth factor or growth multiplier. Since powers of negative numbers behave strangely, we limit b to positive values. To see more clearly the difference between exponential and linear growth, compare the two tables and graphs below, which illustrate the growth of company A and B described above over a longer time frame if the growth patterns were to continueExample 2 A certificate of deposit (CD) is a type of savings account offered by banks, typically offering a higher interest rate in return for a fixed length of time you will leave your money invested. If a bank offers a 24 month CD with an annual interest rate of 1.2% compounded monthly, how much will a $1000 investment grow to over those 24 months? First, we must notice that the interest rate is an annual rate, but is compounded monthly, meaning interest is calculated and added to the account monthly. To find the monthly interest rate, we divide the annual rate of 1.2% by 12 since there are 12 months in a