Answer:
They would have the bike for 1.7 hours
Step-by-step explanation:
The bike is rented at a charge of $5 for every half an hour,this can be expressed as:
$5 per 0.5 hours, to calculate the time one will have the bike if they pay $17
The amount of paid=Standard Rate per 1/2 of an hour/Number of hours
where;
The amount paid=$17
Standard Rate per 1/2 an hour=$5/0.5
Number of hours
Replacing;
n=(17×0.5)/5=1.7 hours
Answer:
However, the method varies according to the given values. When the selling price and the cost price of a product is given, the profit can be calculated using the formula, Profit = Selling Price - Cost Price. After this, the profit percentage formula that is used is, Profit percentage = (Profit/Cost Price) × 100.
Step-by-step explanation:
The answer is A because you take 1/2 and multiply it by 2.5 and 1.2 and get 1.5
Answer:
% Remaining![= [1-(1/2)^{\frac{t}{2.6}}]x100](https://tex.z-dn.net/?f=%20%3D%20%5B1-%281%2F2%29%5E%7B%5Cfrac%7Bt%7D%7B2.6%7D%7D%5Dx100%20)
And replacing the value t =5.5 hours we got:
% Remaining![= [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%](https://tex.z-dn.net/?f=%20%3D%20%5B1-%281%2F2%29%5E%7B%5Cfrac%7B5.5%7D%7B2.6%7D%7D%5Dx100%20%3D76.922%5C%25)
Step-by-step explanation:
Previous concepts
The half-life is defined "as the amount of time it takes a given quantity to decrease to half of its initial value. The term is most commonly used in relation to atoms undergoing radioactive decay, but can be used to describe other types of decay, whether exponential or not".
Solution to the problem
The half life model is given by the following expression:

Where A(t) represent the amount after t hours.
represent the initial amount
t the number of hours
h=2.6 hours the half life
And we want to estimate the % after 5.5 hours. On this case we can begin finding the amount after 5.5 hours like this:

Now in order to find the percentage relative to the initial amount w can use the definition of relative change like this:
% Remaining = 
We can take common factor
and we got:
% Remaining![= [1-(1/2)^{\frac{t}{2.6}}]x100](https://tex.z-dn.net/?f=%20%3D%20%5B1-%281%2F2%29%5E%7B%5Cfrac%7Bt%7D%7B2.6%7D%7D%5Dx100%20)
And replacing the value t =5.5 hours we got:
% Remaining ![= [1-(1/2)^{\frac{5.5}{2.6}}]x100 =76.922\%](https://tex.z-dn.net/?f=%3D%20%5B1-%281%2F2%29%5E%7B%5Cfrac%7B5.5%7D%7B2.6%7D%7D%5Dx100%20%3D76.922%5C%25)
Answer:
(-1,2)
Step-by-step explanation:
The solution to the system graphed is where both of the lines intersect. That's because the intersecting point means that when you substitute x into both of the equations, you'll get the same y value.
If you look on the graph, the intersecting point is (-1,2)