please help with the following with ALL STEPS

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Graph the function and write the domain and range in interval notation. c (x) 8 Part: 0 / 2 Part 1 of 2 Graph the function c (x) = ir X 5Use the function below to answer the following questions. f (x)=5"-5 (a) Use transformations of the graph of > >" to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote. Part: 0 / 3 Part 1 of 3 (a) Use transformations of the graph of )=3" to graph the given function. 13- 12- 11- 10- X 5Use the function below to answer the following questions. t (x)=-2" Part: 0 / 3 Part 1 of 3 (a) Use transformations of the graph of )=2" to graph the given function t (x) =-2". X 5 9 -8 -7 6 5 43 2Complete the table to determine the effect of the number of compounding periods when computing interest. Suppose that $ 8000 is invested at 4 % interest for 16 yr under the following compounding options. Round answers in the second column to the nearest whole number. Round answers in the last column to the nearest cent. Compounding Option n Value Result X 5 (a) Annually (b) Quarterly 4 S (c) Monthly 12 (d) Daily 1 = 365 (e) Continuously Not ApplicableSuppose that / dollars in principal is invested for / years at the given interest rates with continuous compounding. Determine the amount that the investment is worth at the end of the given time period. P =$20,000 , t=14 yr (a) 3% interest (b) 4% interest (c) 6.5% interest Part: 0 / 3 Part 1 of 3 (a) At 3 % interest rate, the investment will be worth $ at the end of 14 yr.Penelope needs to borrow 5110130 . She can borrow the money at 15% simple interest for 5 yr or she can borrow st 3% with interest compounded continuously for 5 yr. (a) How much total interest would Penelope pay at 15% simple interest? lo] How much total interest would Penelope psi.- at 3 % interest compounded continuously? to) which option results in less total interest? Part: a f 3 Part 1 of 3 (a) How much total interest would Penelope pair at 6% simple interest? At 6% simple interest; the total interest Penelope would pair is 5 I. Strontium-90 ("Sr) is a by-product of nuclear fission with a half-life of approximately 28.9 yr. After the Chernobyl nuclear reactor accident in 1986 , large areas surrounding the site were contaminated with "Sr. If 10 Jg (micrograms) of "Sr is present 28.9 in a sample, the function 4 (t)=10 2 gives the amount A () (in Ng) present after & years. Evaluate the function for the given values of ? and interpret the meaning in context. Round to 3 decimal places if necessary. (a) A (202.3 ) (b) A (86.7) (c) A (289) Part: 0 / 3 Part 1 of 3 (a) A (202.3 ) = After years, approximately ug of Sr remains.Find the real solution(s) to the equation. Axe 20 xe =0 O The equation has no real solution. O The equation has one real solution. O The equation has two real solutions. The solution set is