1- Use the combound interest formula Alt ) = P/itr jit for the following problem . You want to have$ 100, 100 in 8 years to put a down payment on a house . To the nearest dollar, how march do you need to invest now in an account with 7. 25%. APR compounded monthly ? Clearly show all your work/ steps / not just the final answer 2 . Sketch the graph of flu) = 4x+ 3 and it's asymptote. Label at least three points on the graph . State the domain and range. 3 - Evaluate the following exponential or logarithm expressions without using calculator . a ) logs / 1 e)entes ) 1 125 f ) logz (835 ) 6 ). log (0.20 001) ( ). log, (13 ) 9: ) log ( log (10 100 ) ) d ) Gloge clogs ( 47) 4 . Solve for x by converting the logarithmic equation to exponential form logx (7 ) = 1 2 5- Expand the logarithm as much as possible . simplify your. answer all the way . log z / 8 x 26- Condense to a single logarithm 4 log ( x ) - 1, log (x3+1)+ 3log(x-1 ) 7- Use the change- of - base formula to rewrite the expression ! ! logg1 3. 71) as a quotient of natural or common logarithms. 8 Solve each exponential equation. Give the exact solution. If aulicable, also give an allroximate solution accurate to 4 decimal places . If there is no solution, write no solution 9) 52x-3 " # d ) 8 + e4 x - 1 3 6 )2 3 x+1 _2X- 2 ( ). e 2x _ ex - 6 - 0 ( ? ) , ) f 9. Solve each logarithmic equation . Give the exact solution (s) If there is no solution write no solution at (los a ) logs ( 1) + logs ( * + 1 ) = logs ( 20 )! b ) . log ( 3-x ) -4 =-2 10 - the population of Colorado, P( t ) in millions can be . approximated by : P ( t ) _ 97 .3 where t is the number of years since the years of 2000 a ). Determine the population in the years of 2009 6 ) Use this function to determine the time require for the population of Colorado to triple from its value in the years of 2000 C ) What is the limiting value of the population of Colorado under this model