There are going to be 10 cupcakes left,hope I helped (:
We are required to find an inequality which best represents the relationship between the number of hours gardening g and the total charge c
The inequality which best represents the relationship between the number of hours gardening g and the total charge c is c ≥ 15 + 12g
At least means greater than or equal to (≥)
fixed charge = $15
charges per hour = $12
Total charge = c
Number of hours = g
The inequality:
<em>Total charge ≥ fixed charge + (charges per hour × Number of hours</em>
c ≥ 15 + (12 × g)
c ≥ 15 + (12g)
c ≥ 15 + 12g
Therefore, the inequality which best represents the relationship between the number of hours gardening g and the total charge c is c ≥ 15 + 12g
Read more:
brainly.com/question/11067755
Answer to question:
inverse property
“Staying the same”
adding a number to itself results in a sum of zero
Answer: a) 236,000.
b) 2021
Step-by-step explanation:
Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by
(1)
where t = 0 corresponds to 1980.
Then , for 2009
t= 2009-1980=29
a. ⇒The population of Phoenix in 2009 = ![p = 130e^{0.0205(29)}](https://tex.z-dn.net/?f=p%20%3D%20130e%5E%7B0.0205%2829%29%7D)
![p = 130e^{0.5945}](https://tex.z-dn.net/?f=p%20%3D%20130e%5E%7B0.5945%7D)
![p =130(1.81212465608)=235.57620529\approx236](https://tex.z-dn.net/?f=p%20%3D130%281.81212465608%29%3D235.57620529%5Capprox236)
Hence, the population of Orlando in 2009 was about 236,000.
b) Substitute p= 300 in (1) , we get
(Divide both sides by 130)
Taking Natural log on both sides,
![\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}](https://tex.z-dn.net/?f=%5Cln%282.3077%29%20%3D%200.0205t%5C%5C%5C%5C%5CRightarrow%5C%20t%3D%5Cdfrac%7B%5Cln%282.3077%29%7D%7B0.0205%7D)
![t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B0.836251357528%7D%7B0.0205%7D%3D40.7927491477%5Capprox41)
Hence, The year Orlando will have a population of 300,000 =1980+41 =2021