The four consecutive odd integers are x, x+2, x+4, x+6
x+x+2+x+4+x+6=216
4x+12=216
4x=204
x=51
they are 51, 53, 55, 57
Answer:
![A) P(t)=7652(1.016)^t](https://tex.z-dn.net/?f=A%29%20P%28t%29%3D7652%281.016%29%5Et)
Explanation:
<em><u>(A) Use the exponential growth model to write an equation that estimate the population t years after 2016</u></em>
Calculating some terms will help you to determine the exponential growth model to estimate the population t years after 2016.
Year Number of years Population
after 2016 P(t)
2016 0 7652
2017 1 7652 + 7652 × 0.016 = 7652 × (1.016)
2018 2 7652 × (1.016)²
2019 3 7652 × (1.016)³
t ![7652\times (1.016)^t](https://tex.z-dn.net/?f=7652%5Ctimes%20%281.016%29%5Et)
Hence the equation that estimates the population t years after 2016 is:
![P(t)=7652(1.016)^t](https://tex.z-dn.net/?f=P%28t%29%3D7652%281.016%29%5Et)
<u><em>(B) Estimate the population in 2024. </em></u>
Year 2024 is 2024 - 2016 = 8 years after 2016. Hence, t = 8 years and you just must substitute t with 8 in the model (equation) to estimate the population in year 2024:
![P(8)=7652\times (1.016)^{t}=7652(1.016)^{8}=8688.09628\approx 8688](https://tex.z-dn.net/?f=P%288%29%3D7652%5Ctimes%20%281.016%29%5E%7Bt%7D%3D7652%281.016%29%5E%7B8%7D%3D8688.09628%5Capprox%208688)
Answer:
4 apples are $2.40
That means that 2 apples will be $1.20
And that one apple will be $0.60
$0.60*9= $5.40
She buys 5 more apples each week so she will buy 14 apples this week
$0.60*14= $8.40
Final answer : She will buy 14 apples next week for $8.40
Hope it helped! : )
The last number line the correct answer!
-2a-5>3
-2a>8
a<-4
( the sign is flipped in the end because when you multiply or divide by a negative number, the sign flips the other way around)