Answer:
The substance's half-life is 6.4 days
Step-by-step explanation:
Recall that the half life of a substance is given by the time it takes for the substance to reduce to half of its initial amount. So in this case, where they give you the constant k (0.1088) in the exponential form:
![N=N_0\,e^{-k\,*\,t}](https://tex.z-dn.net/?f=N%3DN_0%5C%2Ce%5E%7B-k%5C%2C%2A%5C%2Ct%7D)
we can replace k by its value, and solve for the time "t" needed for the initial amount
to reduce to half of its value (
). Since the unknown resides in the exponent, to solve the equation we need to apply the natural logarithm:
![N=N_0\,e^{-k\,*\,t}\\\frac{N_0}{2} =N_0\,e^{-0.1088\,*\,t}\\\frac{N_0}{2\,*N_0} =e^{-0.1088\,*\,t}\\\frac{1}{2} =e^{-0.1088\,*\,t}\\ln(\frac{1}{2} )=-0.1088\,t\\t=\frac{ln(\frac{1}{2} )}{-0.1088} \\t=6.37\,\,days](https://tex.z-dn.net/?f=N%3DN_0%5C%2Ce%5E%7B-k%5C%2C%2A%5C%2Ct%7D%5C%5C%5Cfrac%7BN_0%7D%7B2%7D%20%3DN_0%5C%2Ce%5E%7B-0.1088%5C%2C%2A%5C%2Ct%7D%5C%5C%5Cfrac%7BN_0%7D%7B2%5C%2C%2AN_0%7D%20%3De%5E%7B-0.1088%5C%2C%2A%5C%2Ct%7D%5C%5C%5Cfrac%7B1%7D%7B2%7D%20%3De%5E%7B-0.1088%5C%2C%2A%5C%2Ct%7D%5C%5Cln%28%5Cfrac%7B1%7D%7B2%7D%20%29%3D-0.1088%5C%2Ct%5C%5Ct%3D%5Cfrac%7Bln%28%5Cfrac%7B1%7D%7B2%7D%20%29%7D%7B-0.1088%7D%20%5C%5Ct%3D6.37%5C%2C%5C%2Cdays)
which rounded to the nearest tenth is: 6.4 days
Answer: A: 6% of $40,000 = $ 2,400 so multiply 2 x 2,400 ... how much will you make in year 2 will be $4,800
B: 6% of $40,000 = $ 2,400 so multiply 2,400 x 4.... how much will you make in year 4 will be $9,600
C: 6% of $40,000 = $ 2,400 so how much will you make in year 10 in total will be $2,400 x 10 = 24,000
Step-by-step explanation:
Answer:
6*4 = 24
Step-by-step explanation:
Hopefully that helps, and you can write fractions as x/y.
The answer is 1.45 + 0.55x ≤ $35; x ≤ 61
x - a number of miles
T - the total amount
T ≤ $35
T = 1.45 + 0.55x
1.45 + 0.55x ≤ 35
0.55x ≤ 35 - 1.45
0.55x ≤ 33.55
x ≤ 33.55 : 0.55
x ≤ 61 miles
Answer:
So the number of people who would be unemployed is 111111.
Step-by-step explanation:
We calculate the total number of people and how much money they will need:
![200000\cdot 10\$=2000000\$\\\\200000\cdot 9\$=1800000\$\\\\200000\cdot 8\$=1600000\$\\\\200000\cdot 7\$=1400000\$\\\\200000\cdot 6\$=1200000\$\\](https://tex.z-dn.net/?f=200000%5Ccdot%2010%5C%24%3D2000000%5C%24%5C%5C%5C%5C200000%5Ccdot%209%5C%24%3D1800000%5C%24%5C%5C%5C%5C200000%5Ccdot%208%5C%24%3D1600000%5C%24%5C%5C%5C%5C200000%5Ccdot%207%5C%24%3D1400000%5C%24%5C%5C%5C%5C200000%5Ccdot%206%5C%24%3D1200000%5C%24%5C%5C)
So the total number of people receiving a salary is 1000000.
A total of $ 8000000 is required for their salaries.
If the minimum wage is $ 9, we get:
![8000000:9=888888.8\\\\\\1000000-888888.8=111111.2\\](https://tex.z-dn.net/?f=8000000%3A9%3D888888.8%5C%5C%5C%5C%5C%5C1000000-888888.8%3D111111.2%5C%5C)
So the number of people who would be unemployed is 111111.