Answer:
2x-3 < 7 = x ≤ 5 and 5 - x ≤ 8 = x ≥ - 3
Step-by-step explanation:
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
The answer is B, D, A, C.
Let's all of them have the same exponent so we can compare them. Let 23 be the common exponent since it is the smallest one:
Planet A: 5.97 * 10²⁴ = 5.97 * 10¹⁺²³ = 5.97 * 10 * 10²³ = 59.7 * 10²³<span>
Planet B: 3.30 * 10</span>²³<span>
Planet C: 1.89 * 10</span>²⁷ = 1.89 * 10⁴⁺²³ = 1.89 * 10⁴ * 10²³ = 1.89 * 10,000 * 10²³ = 18,900 * 10²³<span>
Planet D: 4.87*10</span>²⁴ = 4.87 * 10¹⁺²³ = 4.87 * 10 * 10²³ = 48.7 * 10²³
Since 3.30 * 10²³ < 48.7 * 10²³ < 59.7 * 10²³ < 18,900 * 10²³, then <span> the order of these planets from least to greatest is B < D < A < C</span>
Answer:
34 (looking at the image im kinda unsure of my answer cuz 4*34=136 and that doesn't look like 136)
Step-by-step explanation:
angle TSU = angle PSR = 4x
from that we know that PSQ=x
so then we know PQS=180-2x
180-2x+68=180
2x=68
x=34