Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above
solve for t
simplify
Apply ln both sides
![ln(2)=ln[(e)^{0.036t}]](https://tex.z-dn.net/?f=ln%282%29%3Dln%5B%28e%29%5E%7B0.036t%7D%5D)
Applying property of exponents
![ln(2)=[0.036t]ln(e)](https://tex.z-dn.net/?f=ln%282%29%3D%5B0.036t%5Dln%28e%29)
Remember that ln(e) =1
![ln(2)=[0.036t]](https://tex.z-dn.net/?f=ln%282%29%3D%5B0.036t%5D)
![t=ln(2)/[0.036]](https://tex.z-dn.net/?f=t%3Dln%282%29%2F%5B0.036%5D)
Answer:
500 ml
Step-by-step explanation:
1 liter = 1 000 ml
1 / 2 liters = 1000 ml /2 = 500 ml
1000ml - 500 ml = <u>500 ml</u>
The situation can be modeled with the linear equation:
$75 + y*($75/x) = $100
<h3>
Which of the following equations represents this situation? </h3>
We know that if she wors for x hours, she earns $75.
This means that the amount that she gets per hour is:
R = $75/x.
Now, if she works y more hours, then she gets another $25 (for a total of $100).
We can write this as a linear equation:
y*($75/x) = $25
We can rewrite this as:
$75 + y*($75/x) = $100
So the correct option is B.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
y=x+6
Step-by-step explanation:
the co-ordinate points are (-2,4)and (4,10) so <u>y2-y1 </u>
x2-x1
<u>10-4 </u> =6
4-2 =6 which will be 1 as the gradient so you will form an equation
<u>y-10</u> =1 cross multiply the values with one so the answer will be y-10=x-4
x-4
take -10 to the other side it will be y=x-4+10 hence y= x+6
