Answer:
(8, 0)
Step-by-step explanation:
The x-intercepts are the roots or solutions of a quadratic equation. To solve this equation use the quadratic formula.
![\frac{-b\pm\sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
In this equation, a = 1, b = -16, and c = 64. Substitute these values into the formula.
![\frac{-(-16)\pm\sqrt{(-16)^2-4(1)(64)}}{2(1)}\rightarrow \frac{16\pm\sqrt{256-4(64)} }{2} \rightarrow \frac{16\pm\sqrt{0} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-16%29%5Cpm%5Csqrt%7B%28-16%29%5E2-4%281%29%2864%29%7D%7D%7B2%281%29%7D%5Crightarrow%20%5Cfrac%7B16%5Cpm%5Csqrt%7B256-4%2864%29%7D%20%7D%7B2%7D%20%5Crightarrow%20%5Cfrac%7B16%5Cpm%5Csqrt%7B0%7D%20%7D%7B2%7D)
After simplifying, you are left with 16/2 which is 8.
The x-intercept of the graph of this function is (8, 0).
62.5 mg sample will remain after 240 days
Step-by-step explanation:
Given
Half-life = T = 60 days
The formula for calculating the quantity after n half lives is given by:
![N = N_0(\frac{1}{2})^n](https://tex.z-dn.net/?f=N%20%3D%20N_0%28%5Cfrac%7B1%7D%7B2%7D%29%5En)
Here
N is the final amount
N_0 is the initial amount
n is the number of half lives passed
The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life
The quantity has to be calculated for 240 days so,
![n = \frac{240}{60}\\n = 4](https://tex.z-dn.net/?f=n%20%3D%20%5Cfrac%7B240%7D%7B60%7D%5C%5Cn%20%3D%204)
Given
![N_0 = 1000\ mg](https://tex.z-dn.net/?f=N_0%20%3D%201000%5C%20mg)
Putting the values in the formula
![N = 1000 (\frac{1}{2})^4\\=1000 * \frac{1}{16}\\=\frac{1000}{16}\\=62.5\ mg](https://tex.z-dn.net/?f=N%20%3D%201000%20%28%5Cfrac%7B1%7D%7B2%7D%29%5E4%5C%5C%3D1000%20%2A%20%5Cfrac%7B1%7D%7B16%7D%5C%5C%3D%5Cfrac%7B1000%7D%7B16%7D%5C%5C%3D62.5%5C%20mg)
Hence,
62.5 mg sample will remain after 240 days
Keywords: Half-life, sample
Learn more about half-life at:
#LearnwithBrainly
Answer:
Option A.
Step-by-step explanation:
Note: Let as consider, we have to find the total amount after 9 years.
It is given that,
Principal amount = $1000
Rate of compound (yearly) interest = 15% = 0.15
Time = 9 year
The formula for total amount is
where, P is principal, i is rate of interest and n is number of years.
Substituting P=1000, i=0.15 and n=9, we get
So, the total amount after 9 years is $3517.88.
Therefore, the correct option is A.
I think first u need to find y or x and work from there
The total would be $50
Hope this helps good luck :)