Answer:
alright
Step-by-step explanation:
jets go brrrrrrrrrrr
Use the general definition:
|x - a| ≤ k => - k ≤ x - a ≤ k
So, |a - 9| ≤ 4 => - 4 ≤ a - 9 ≤ 4
Which is a - 9 ≥ - 4 and a - 9 ≤ 4.
That is the second option.
Answer: a - 9 ≤ 4 and a - 9 ≥ - 4
You can treat it as an arithmetic sequence, so multiply the average integer value by the number of integers:
(40+12)/2 × (40 -12 +1) = 26×29 =
754You can subtract the sum of integers 1–11 (66) from the sum of integers 1–40 (820) to get the sum of integers from 12–40: 820 - 66 =
754.
You can let a graphing calculator do it. (See attached.) This method takes perhaps the least amount of thought. It, too, gets a sum of
754.
The house worth in 23 years is $ 242751
<em><u>Solution:</u></em>
<em><u>The formula that models inflation is given as:</u></em>
![S = C(1+r)^t](https://tex.z-dn.net/?f=S%20%3D%20C%281%2Br%29%5Et)
Where,
C = the value today
r - annual inflation rate in decimal form
t = number of years from now
Given that,
C = $ 123, 000
![r = 3 \% = \frac{3}{100} = 0.03](https://tex.z-dn.net/?f=r%20%3D%203%20%5C%25%20%3D%20%5Cfrac%7B3%7D%7B100%7D%20%3D%200.03)
t = 23 years
Substituting the values in formula,
![S = 123000(1+0.03)^{23}\\\\S = 123000(1.03)^{23}\\\\S = 123000 \times 1.9735\\\\S = 242751.14 \approx 242751](https://tex.z-dn.net/?f=S%20%3D%20123000%281%2B0.03%29%5E%7B23%7D%5C%5C%5C%5CS%20%3D%20123000%281.03%29%5E%7B23%7D%5C%5C%5C%5CS%20%3D%20123000%20%5Ctimes%201.9735%5C%5C%5C%5CS%20%3D%20242751.14%20%5Capprox%20242751)
Thus the house worth in 23 years is $ 242751