Linear regression

  1. Given that y = 1.6 −x , write an equivalent equation in the form y = b x , with 0 < b < 1 y=_____________ 2. If $1200 is invested for x years at 8%, compounded quarterly, the future value that will result is represented by the following equation. S = 1200(1.02) 4x What amount will result in 4 years? (Round your answer to the nearest cent.) $______________ 3. The purchasing power P of a fixed income of $20,000 per year (such as a pension) after t years of 7% inflation can be modeled by P = 20,000(1.07) −t . (a) Find the purchasing power after 5 years. (Round your answer to the nearest dollar.) $_______________ (b)Find the purchasing power after 20 years. (Round your answer to the nearest dollar.) $________________ 4. If $1000 is invested for x years at 10%, compounded continuously, the future value that results is S = 1000e 0.10x . What amount will result in 3 years? (Round your answer to the nearest cent.) $______________ 5. Solve the equation. log(x) = 6 x=__________ 6. Solve for x by writing the equation in exponential form. log(3x − 4) = 2 x=______________ 7. Solve for x by writing the equation in exponential form. (Round your answer to three decimal places.) ln(2x + 4) = 2.3