What number can you add to 2√ to get a rational number? 12 2 0 −2√From 2000 to 2015, the amount of newspapers sold in a town declined to 25,000. The number is expected to decline at a rate of 3.7% each year.How many newspapers will be sold in 2030?Round to the nearest whole number.Enter your answer in the box.
Accepted Solution
A:
Question #1.
√2 is an irrational number. There is no way to make it rational using an addition unless the number that is added to √2 is the opposite to itself, that is, –√2 since we know that the sum of two opposite numbers is 0. Hence, √2 + (–√2) = 0, which is a rational number.
Thus the answer is –√2.
Question #2. The number of newspapers after t years from 2015 can be modeled by the equation: [tex]A=A_0 (1-r)^t[/tex] where [tex]A_0[/tex] = number of paper at the year 2015, r = declination rate.
In this case, [tex]A_0=25000[/tex], r = 0.037, t = 2030 – 2015 = 15. Plugging them in the equation, we get