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She stayed in the hospital for 91 hours, because at 4:00pm there are 8 hours left in the day, so 8 hours go by and its july 8th, there are 3 days left until july 11th, there are 24 hours in a day,(3x24=72), then 11 hours go by until it's 11:00,(72+11=83). Then you add the 8 hours from before(83+8=91) Thats how you get the answer
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:
The original fraction was less than 1/2. Since the result was a mixed number, the original fraction must have contained less than 1 unit of 1/2.
Step-by-step explanation:
The fraction will be less than 1/2. An example will be 1/2 divided by 1/3. You'll need to do 1/2 x 3/1, which will result in 3/2, or 1 1/2.
B.)8a^3+2a^2b-36ab-9b^2
(2a^2-9b)(4a+b)
Use the distributive property of multiplication.
4a(2a^2-9b)+b(2a^2-9b)
Expand.
8a^3-36ab+2a^2b-9b^2
Put in neater order, so that powers are consecutive (i.e putting x^2 after x^3)
8a^3+2a^2b-36ab-9b^2