Steps: for an approximate result, multiply the fuel economy value by 2.352
12.7*2.352=29.87
Answer: 29.87 Miles per Gallon
Answer:
2/9
Step-by-step explanation:
Answer:
Dan can buy 5 bags for 15 dollars
Step-by-step explanation:
divide 15 and 3 it will equal 5
Answer:
a) 16.82 mg
b) 24 days
Step-by-step explanation:
Formula for exponential growth is given as:
![A=A_0b^{\frac{t}{c}}](https://tex.z-dn.net/?f=A%3DA_0b%5E%7B%5Cfrac%7Bt%7D%7Bc%7D%7D)
Where A is the final population
is the initial population
b is the growth factor
c is the time taken for the growth 'b'
t is the amount of time
Here, We are given the following:
= 5 mg
b = 2 (Given because it doubles)
c = 4 days
a) A = ?
Using the formula:
![A=5 \times 2^{\frac{7}{4}}\\\Rightarrow A=5 \times 2^{1.75} \\\Rightarrow A = \bold{16.82\ mg}](https://tex.z-dn.net/?f=A%3D5%20%5Ctimes%202%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D%5C%5C%5CRightarrow%20A%3D5%20%5Ctimes%202%5E%7B1.75%7D%20%5C%5C%5CRightarrow%20A%20%3D%20%5Cbold%7B16.82%5C%20mg%7D)
b) Given
A = 320 mg
t = ?
Using the above formula again:
![320 = 5 \times 2^{\frac{t}{4}}\\\Rightarrow \dfrac{320} 5= 2^{\frac{t}{4}}\\\Rightarrow 2^{\frac{t}{4}} = 64\\\Rightarrow 2^{\frac{t}{4}} = 2^6\\\Rightarrow \dfrac{t}{4} = 6\\\Rightarrow t = 6 \times 4\\\Rightarrow \bold{t = 24\ days}](https://tex.z-dn.net/?f=320%20%3D%205%20%5Ctimes%202%5E%7B%5Cfrac%7Bt%7D%7B4%7D%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B320%7D%205%3D%202%5E%7B%5Cfrac%7Bt%7D%7B4%7D%7D%5C%5C%5CRightarrow%202%5E%7B%5Cfrac%7Bt%7D%7B4%7D%7D%20%3D%2064%5C%5C%5CRightarrow%202%5E%7B%5Cfrac%7Bt%7D%7B4%7D%7D%20%3D%202%5E6%5C%5C%5CRightarrow%20%5Cdfrac%7Bt%7D%7B4%7D%20%3D%206%5C%5C%5CRightarrow%20t%20%3D%206%20%5Ctimes%204%5C%5C%5CRightarrow%20%5Cbold%7Bt%20%3D%2024%5C%20days%7D)
So, the answers are:
a) 16.82 mg
b) 24 days