Answer:
Step-by-step explanation:
Let f(x) be our exponential growth function representing growth after x years.
We are asked to find the exponential function that satisfies the given conditions: Initial value = 33, increasing at a rate of 7% per year.
Since an exponential growth function is in form:
, where a= initial value of function and r = growth rate in decimal form.
Given:
a=33
r=7%.
Let us convert our given rate in decimal form.
![7\text{ percent}=\frac{7}{100}=0.07](https://tex.z-dn.net/?f=7%5Ctext%7B%20percent%7D%3D%5Cfrac%7B7%7D%7B100%7D%3D0.07)
Now let us substitute our given values in exponential function form:
![f(x)=33*(1+0.07)^x](https://tex.z-dn.net/?f=f%28x%29%3D33%2A%281%2B0.07%29%5Ex)
![f(x)=33*(1.07)^x](https://tex.z-dn.net/?f=f%28x%29%3D33%2A%281.07%29%5Ex)
Therefore, the exponential function that satisfies our given conditions will be
.
Answer:
13 weeks; 98 dollars.
Step-by-step explanation:
Let's say x represents the number of weeks, and y the number of dollars. For Janelle, an equation to find out how much money she has is y = 20 + 6x. For April, the equation is y = 150 - 4x. Now we need to find how long it will take them to have the same amount of money, and how much that is. A new equation to figure that out is 150 - 4x = 20 + 6x. To solve, make it so the variable is only one side. Add 4x to both sides. You now get 150 = 20 + 10x. Then we continue solving. Subtract 20 from both sides to get 130 = 10x. Then divide both sides by 10 to get 13 = x. This means in thirteen weeks, they will have the same amount of money. To find out how much money they have, choose one (or both to be sure) of the equations and solve for y. For example, Janelle's equation is y = 20 + 6x. Fill in 13 for x to get y = 20 + 6(13). y = 20 + 78. y = 98. This means in 13 weeks, Janelle will have 98 dollars. To be sure, also check with April's equation. y = 150 - 4x. y = 150 - 4(13). y = 150 - 52. y = 98. Therefore, in 13 weeks, both people will have 98 dollars.
Answer:
-6
Step-by-step explanation:
Answer:
The person is 14 years old
Step-by-step explanation:
1. Multiply 6 times 18 which is 108
2. Add all numbers together in list which is 94
3. Subtract 94 from 108 which is 14
4. To check answer add 94 plus 14 and divide by 6 and you will get the median which is 18, now you know this answer is correct.