Answer: 18 years
Work Shown:
![f(\text{x}) = 2.56(1.04)^\text{x}\\\\5 = 2.56(1.04)^\text{x}\\\\5/2.56 = (1.04)^\text{x}\\\\1.953125 = (1.04)^\text{x}\\\\\log(1.953125) = \log(1.04^\text{x})\\\\\log(1.953125) = \text{x}*\log(1.04)\\\\\text{x} = \frac{\log(1.953125)}{\log(1.04)}\\\\\text{x} \approx 17.0682937693249\\\\](https://tex.z-dn.net/?f=f%28%5Ctext%7Bx%7D%29%20%3D%202.56%281.04%29%5E%5Ctext%7Bx%7D%5C%5C%5C%5C5%20%3D%202.56%281.04%29%5E%5Ctext%7Bx%7D%5C%5C%5C%5C5%2F2.56%20%3D%20%281.04%29%5E%5Ctext%7Bx%7D%5C%5C%5C%5C1.953125%20%3D%20%281.04%29%5E%5Ctext%7Bx%7D%5C%5C%5C%5C%5Clog%281.953125%29%20%3D%20%5Clog%281.04%5E%5Ctext%7Bx%7D%29%5C%5C%5C%5C%5Clog%281.953125%29%20%3D%20%5Ctext%7Bx%7D%2A%5Clog%281.04%29%5C%5C%5C%5C%5Ctext%7Bx%7D%20%3D%20%5Cfrac%7B%5Clog%281.953125%29%7D%7B%5Clog%281.04%29%7D%5C%5C%5C%5C%5Ctext%7Bx%7D%20%5Capprox%2017.0682937693249%5C%5C%5C%5C)
The steps above show f(x) replaced with 5. Then you'd use logarithms to isolate the variable x. The relevant useful log rule is
so we can pull down the exponent.
From here it seems your teacher wants you to round up to the nearest integer.
If we plugged in x = 17, then f(x) = 4.99 which is one cent too small.
While x = 18 leads to f(x) = 5.19
Therefore, x = 18 has the price reach or exceed $5
Hello! To find the formula for Celsius to Fahrenheit, we just basically find the inverses of what's in the problem. The multiplicative inverse of 5/9 is 9/5. The opposite of f - 32 is c + 32. The formula is 9/5c + 32. Even on the internet, it confirms that the formula is 9/5 and then add 32. The answer is B.
Answer:
C. 12x
Each box has 12 envelopes.
The number of total envelopes will be the number of envelopes in a box multiplied by the number of boxes. The number of boxes is unknown, so it is replaced by the variable. This gives us 12x
The answer for your question is decay
Answer:
2.25
Step-by-step explanation:
divide 90 and 40