number of years from today. If the rate of inflation is 2.8% per year, the future price p (1) (in dollars) of a certain item can be modeled by the following exponential function, where i is the ? p (t) = 2000(1.028)' Find the price of the item 4 years from today and 8 years from today. Round your answers to the nearest dollar as necessary. OO Price 4 years from today: Price 8 years from today: X The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 5% per hour. ? Suppose that a sample culture has an initial population of 98 bacteria. Find the population predicted after three hours, according to the model. Do not round any intermediate computations, and round your answer to the nearest tenth. Il bacteria X Use the model A= Pe"' or A - P ( 1+ " ) . , where A is the future value of P dollars invested at interest rate / compounded continuously or n times per year for OO t years. If a couple has $80,000 in a retirement account, how long will it take the money to grow to $1,000,000 if it grows by 7.5% compounded continuously? Round up to the nearest year. It will take approximately |years. X Use the model A= Pe" or A= P(1+ ) , where A is the future value of P dollars invested at interest rate / compounded continuously or n times per year for 1 years. $4000 grows to $4808.06 in 4 years under continuous compounding. Find the interest rate. Round to the nearest tenth of a percent. The interest rate is approximately %. X Use the model A=Pe", where A is the future value of P dollars invested at interest rate r compounded continuously for t years. $5000 grows to $6668.79 in 6 years under continuous compounding. Find the interest rate. Round to the nearest tenth of a percent. Part: 0 / 5 Part 1 of 5 Substitute P = ]. A =. : = ] and solve for r. X