What is it that I am supposed to be doing?
To find percent tax, add the cost of the meal, which would be 11.20. A 5% tax would be 11.20*0.05=$0.56. This would be added on to the bill. So 11.20+0.56. This means the total cost of the meal is $11.76
Answer:
15
Step-by-step explanation:
Let Rama's current age be x.
Rama's Age 4 years ago = x - 4
3/5 of Rama's Age = 3/5 x
Difference = 0
(x - 4) - 3/5 x = 0
2/5 x = 4
x = 10
Rama's Age after 5 years = 10 + 5
= 15
Rama's Age After 5 Years is <u>1</u><u>5</u>
Answer: There will 486 bacteria in 31 hours.
Step-by-step explanation:
The population decay in bacteria is exponential.
Exponential function :
, where A = initial population, b multiplication decay factor, t= time:
As per given:
Initial population: ![A=120,000](https://tex.z-dn.net/?f=A%3D120%2C000)
After 36 hours, population = ![120000(b^{36})=200](https://tex.z-dn.net/?f=120000%28b%5E%7B36%7D%29%3D200)
Divide both sides by 120,000 we get
![b^{36}= 0.00167](https://tex.z-dn.net/?f=b%5E%7B36%7D%3D%200.00167)
Taking natural log on both sides , we get
![36\ln b=\ln 0.00167\\\\\Rightarrow\ b=e^{\left(\frac{\ln0.00167}{36}\right)}=0.83724629\approx0.8372](https://tex.z-dn.net/?f=36%5Cln%20b%3D%5Cln%200.00167%5C%5C%5C%5C%5CRightarrow%5C%20b%3De%5E%7B%5Cleft%28%5Cfrac%7B%5Cln0.00167%7D%7B36%7D%5Cright%29%7D%3D0.83724629%5Capprox0.8372)
At x= 31,
![y=120000(0.8372)^{31}=120000\times0.00405234\approx486](https://tex.z-dn.net/?f=y%3D120000%280.8372%29%5E%7B31%7D%3D120000%5Ctimes0.00405234%5Capprox486)
Hence, there will 486 bacteria in 31 hours.
The question gives us that cot ∅ = 1.5, and we need to find tan ∅ (∅ being theta). So, cotangent, which is <em>cot</em>, is equal to adjacent over opposite, and tangent, abbreviated <em>tan</em>, is equal to opposite over adjacent. Basically, we need to take the inverse of the given value for <em>cot</em><em>. </em>Doing so gives us 1/1.5, which is approximately 0.667. Therefore, the answer to your query is A. Hope this helps and have a great day!