Answer:
![\tt2.375](https://tex.z-dn.net/?f=%20%5Ctt2.375)
Step-by-step explanation:
![\tt = 2 \frac{3}{8}](https://tex.z-dn.net/?f=%20%5Ctt%20%3D%202%20%5Cfrac%7B3%7D%7B8%7D%20)
![\tt = \frac{8 \times 2 + 3}{8}](https://tex.z-dn.net/?f=%20%5Ctt%20%3D%20%20%5Cfrac%7B8%20%5Ctimes%202%20%2B%203%7D%7B8%7D%20)
![\tt = \frac{19}{8}](https://tex.z-dn.net/?f=%20%5Ctt%20%3D%20%20%5Cfrac%7B19%7D%7B8%7D%20)
![\tt = 19 \div 8](https://tex.z-dn.net/?f=%20%5Ctt%20%3D%2019%20%5Cdiv%208)
![\tt = 2.375](https://tex.z-dn.net/?f=%20%5Ctt%20%3D%202.375)
Step-by-step explanation:
<h3>
<u>★ Solution :-</u></h3>
![\sf \longmapsto 98^2](https://tex.z-dn.net/?f=%5Csf%20%5Clongmapsto%2098%5E2)
![\sf \longmapsto (a - b)^2 = a^2 - 2ab + b^2](https://tex.z-dn.net/?f=%5Csf%20%5Clongmapsto%20%28a%20-%20b%29%5E2%20%3D%20a%5E2%20-%202ab%20%2B%20b%5E2)
Here,
![\sf \longmapsto (100 - 2)^2 = 100^2 - 2(100)(2) + 2^2](https://tex.z-dn.net/?f=%5Csf%20%5Clongmapsto%20%28100%20-%202%29%5E2%20%3D%20100%5E2%20-%202%28100%29%282%29%20%2B%202%5E2)
![\sf \longmapsto 100^2 - 2(100)(2) + 2^2](https://tex.z-dn.net/?f=%5Csf%20%5Clongmapsto%20100%5E2%20-%202%28100%29%282%29%20%2B%202%5E2)
![\sf \longmapsto 10000 - 400 + 4](https://tex.z-dn.net/?f=%5Csf%20%5Clongmapsto%2010000%20-%20400%20%2B%204)
![\sf \longmapsto 9606](https://tex.z-dn.net/?f=%5Csf%20%5Clongmapsto%209606)
This involves a quick application of the power rule, which is
![f'(x)=nx^{n-1}](https://tex.z-dn.net/?f=f%27%28x%29%3Dnx%5E%7Bn-1%7D)
.
First, it is helpful to rewrite
![f(x)=\sqrt{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7Bx%7D)
as
![f(x)=x^{\frac{1}{2}}](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
. Remember that these are equivalent forms, but the latter is easier to use with the power rule.
We apply the power rule and simply:
Answer:
25%
Step-by-step explanation:
The first doubling, from 20 to 40 occurs in a little more than 3 years, so the multiplier each year is a little less than 2^(1/3) ≈ 1.26. That is, each year is a little less than 26% more than the previous year.
The graph also goes near the point (8, 120), so grows by a factor of 6 in 8 years. That suggests a multiplier of 6^(1/8) ≈ 1.251. Each year is about 25.1% more than the previous year.
Both of these multipliers represent yearly growth rates near 25%.
___
Using the "rule of 72", the product of doubling time and percentage growth is about 72. So, for a doubling time of 3 years, the percentage growth is predicted to be near 72/3 = 24 percent.
All of these estimates help you choose the correct answer: 25%.
Answer:
for the first week add 24 grams to the initial 37 grams which will add up to 61 grams. then on the second week take the 61 grams and add another 24 grams then you will have 85 grams in two weeks
Step-by-step explanation:
24 + 37 = 61
61 + 24 = 85