1.) In the year 1970, the median price for a house in Idaho was $54,200. By the year 2000, the median house value had appreciated to $106,300. What was the annual growth rate (r) between 1980 and 2000 (state as a percent rounded to the hundredths of a percent)? Assume that the value continued to grow by the same percentage. What will the median price for a house in Idaho in the year 2020? Round to the nearest hundred dollars.

2.) Josie opened a retirement account with 1.99% APR in the year 2000. Her initial deposit was $32,500. How much will the account be worth in 2025 if interest compounds monthly? How much more would she make if interest compounded continuously? Round to the nearest cent.

3.) For the functionf(x) =2.25^x,identify thefunction that results from the following transformation.

Shiftf(x) 1 unit up, right 2 units, and reflected about thexaxis.

4.) The intensity levelsIof two earthquakes measured on a seismograph can be compared by the formula

log( I1/I2) = M1-M2

whereMis the magnitude given by the Richter Scale. On April 16th, 2018, an earthquake of magnitude 3.8 hit near Alum Rock CA, USA. On March 25th an earthquake of magnitude 6.4 hit near Saumlaki Indonesia. How many times greater was the intensity of the Indonesia earthquake than the CA earthquake? Round to the nearest whole number.

NOTE: Remember that the value of a log is an exponent. SoM₁-M₂represents the exponent for the base of the common log.

5.) Condense to a single logarithm.

3/5 log8(m)-2log8(4n)-3log8(5k)

Please show the work for how you arrived at these solutions. Thank you!