Respuesta :
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
[tex]A=25000(1-0.037)^15=14202[/tex]
The answer is 14,202.
√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
[tex]A=25000(1-0.037)^15=14202[/tex]
The answer is 14,202.
(1). The number is [tex]\boxed{ - \sqrt 2 }[/tex] that is added to [tex]\sqrt 2[/tex] to get a rational number.
(2). The number of newspaper sold in 2030 is [tex]\boxed{14202}.[/tex]
Further explanation:
The exponential growth function or compound interest formula can be expressed as follows,
[tex]\boxed{A = C{{\left( {1 - i}\right)}^t}}[/tex]
Here, A represents the total amount, C represents the initial amount, i represent the annual percentage decrease and t represents the time.
Given:
The number of newspaper sold in a town is [tex]C = 25000.[/tex]
The rate decline is [tex]i = 3.7\%.[/tex]
The time is [tex]t = 15{\text{ years}}.[/tex]
Explanation:
(1)
The given number is [tex]\sqrt 2[/tex] that is an irrational number.
The sum of rational and irrational number is irrational.
If we add 12 to [tex]\sqrt 2[/tex] the sum will be [tex]\sqrt2 + 12[/tex] and the sum is irrational.
If we add 2 to [tex]\sqrt 2[/tex] the sum will be [tex]\sqrt2 + 2[/tex] and the sum is irrational.
If we add 0 to [tex]\sqrt 2[/tex] the sum will be [tex]\sqrt 2[/tex] and the sum is irrational.
If we add -[tex]\sqrt 2 \:{\text{t}o\: \sqrt 2[/tex] the sum will be 0 and the sum is rational.
(2)
The number of newspaper sold in 2030 can be calculated as follows,
[tex]\begin{aligned}A&= C{\left({1 - i}\right)^t}\\&= 25000{\left({1 - 0.037}\right)^{15}}\\&= 25000{\left( {0.963} \right)^{15}}\\&= 14202\\\end{aligned}[/tex]
The number of newspaper sold in 2030 is [tex]\boxed{14202}.[/tex]
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Investment
Keywords: Annual percentage, increases or decreases, model, interest rate, simple interest, compound interest, annual payment, annuity, rational number, newspaper, amount, expected to decline, whole number.
