A garrison of 400men had food for 40days.After 10 days,200 more men joined them .How long will the food last now?(Assume that th
1 answer:
Let be the amount of food needed for one man for one day. At the beginning, we have enough food for 400 men for 40 days, i.e.
After 10 days, the 400 men will have consumed
food, impliying that the food remaining is
If 200 more men join the garrison, there are now 600 men. Each of them requires food each day, and there are
units of food remaining. They will last
days.
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Answer:
The number of cases in the year 2010 is 266.
Step-by-step explanation:
An exponential function is one that the independent variable x appears in the exponent and has a constant a as its base. Its expression is:
f(x)=aˣ
being a positive real, a> 0, and different from 1, a ≠ 1.
In this case:
where t is the number of years since 1960 and e is an irrational number of which it is not possible to know its exact value because it has infinite decimal places. The first figures are 2,7182818284590452353602874713527 and is often called the Euler's number. e is the base of natural logarithms.
In this case, you want to know the number of cases r (t) in 2010. So, to know t you must know how many years have passed since 1960. For that, you can simply do the following subtraction: 2010-1960 and you get as a result : 50.
Replacing in the exponential expression r (t):
Solving:
r(t)=265.79 ≅ 266
<u><em>The number of cases in the year 2010 is 266.</em></u>
Step 1
Revenue (sometimes referred to as sales revenue) is the amount of gross income produced through sales of products or services. This, in the context of the question, means that the revenue generated from the sales of tickets is given by the function below. We are now required to find the price that tickets will be sold at in a day based on the function that will make the revenue to be equal to $0.
The revenue is given by the function;
To solve this problem or to find this price at which tickets will be solved to give us zero revenue, we must equate the given function for the revenue to 0 and find the value of p, the price of the tickets that make the function to be equal to 0.
For the theatre to make $0 in revenue, this means f(p)=0.
Therefore, we will equate f(p) to 0
Step 2
Equate f(p) to 0
Therefore the revenue to be zero, the price of the ticket will be $0 or $30 but the question asked us how high the ticket price will be to get a revenue of 0. Both 0 and 30 gave us revenue of 0 but $30 is higher therefore, the answer will be $30.
Check;
Both give us 0 revenue but $30 is higher and the right answer.
Step 3
The equation you can write for revenue of $700 is;