Answer:
a) ![y(t) = 350(1.02)^t](https://tex.z-dn.net/?f=y%28t%29%20%3D%20350%281.02%29%5Et)
b) 394 thousand = 394,000 people will be following the website in 2016
Step-by-step explanation:
Exponential equation for an amount:
The exponential equation for an amount after t years has the following format:
![y = y(0)(1+r)^t](https://tex.z-dn.net/?f=y%20%3D%20y%280%29%281%2Br%29%5Et)
In which y(0) is the initial value and r is the growth rate, as a decimal.
A social media website had 350,000 followers in 2010. The number y of followers increases by 2% each year.
This means that: ![y(0) = 350, r = 0.02](https://tex.z-dn.net/?f=y%280%29%20%3D%20350%2C%20r%20%3D%200.02)
a. Write an exponential growth function that represents the number of followers t years after 2010
In thousands:
![y(t) = 350(1 + 0.02)^t](https://tex.z-dn.net/?f=y%28t%29%20%3D%20350%281%20%2B%200.02%29%5Et)
![y(t) = 350(1.02)^t](https://tex.z-dn.net/?f=y%28t%29%20%3D%20350%281.02%29%5Et)
b. How many people will be following the website in 2016?
2016 is 6 years after 2010, so this is y(6).
![y(6) = 350(1.02)^6 = 394.2](https://tex.z-dn.net/?f=y%286%29%20%3D%20350%281.02%29%5E6%20%3D%20394.2)
Rounding to the nearest thousand:
394 thousand = 394,000 people will be following the website in 2016
Answer:
ask an adult, about the situation
Step-by-step explanation:
The (small) challenge here is to determine what the LCD is. Since 11, 17 and 3 are all prime, we find the LCD by multiplying them together: 561.
Then 9/11= 459/561; 15/17 = 495/561; and 2/3 = 375/561.
Answer:
1/36
Step-by-step explanation:
it is the exact same as if both your dice had the numbers {1,2,3,4,5,6}
you said the SUM of the dice that is indicates the answer of the addition of two (or for that matter more) numbers,... the only numbers that would sum 2 is 1+1,... and because you only have two ones (one per die) the answer is the same as if they where die with normal numbers,...
Answer:
A. 2·x² + 16·x + 32 ≥ 254
Step-by-step explanation:
The given dimensional relationship between the dimensions of the photo in the center of the cake and the dimensions of the cake are
The width of the cake = The width of the photo at the center of the cake, x + 4 inches
The length of the cake = 2 × The width of the cake
The area of the cake Wanda is working on ≥ 254 in.²
Where 'x' represents the width of the photo (at the center of the cake), let 'W' represent the width of the cake, let 'L' represent the length of the cake, we get;
W = x + 4
L = 2 × W
Area of the cake, A = W × L ≥ 254
∴ A = (x + 4) × 2 × (x + 4) = 2·x² + 16·x + 32 ≥ 254
The inequality representing the solution is therefore;
2·x² + 16·x + 32 ≥ 254