First find how many units of solution there is:
500* 2% = 500(.02) = 10 units
You need 10 units of solution in 'x' units of a 10% solution.
x*10% = 0.1x = 10 units -----> x = 10/0.1 = 100
100 units are needed
Answer:
Step-by-step explanation:
If the population increases at a rate of 4% per annum, then:
In year 1:
Where 
is the initial population and 
is the population in year n
In year 2
It can also be written as:
Taking out common factor
Taking out common factor (1 + 0.04)
Taking out again common factor
Simplifying
So
This is the equation that represents the population for year n
Then, in 4 years, the population will be:
Answer:
The y-intercept is 25000 . The intercept is the fixed cost of the doughnut selling company.
Step-by-step explanation:
In the question, it is given that the fixed cost is $25000 and the expense to produce each doughnut is $0.25.
It is required to find and identify the y intercept.
To do so, use the equation derived in previous part of the exercise to interpret the slope. Compare the equation with standard equation of the line.
Step 1 of 1
The total cost of the company is the sum of fixed cost and the expenses for the doughnut, C=0.25x+25000.
Compare the equation with general linear equation y=mx+c.
The y-intercept is 25000 .
The intercept is the fixed cost of the doughnut selling company.
Answer:
2
Step-by-step explanation:
4x = 32 - x2 would be much clearer if written as 4x = 32 - x^2. Please use
" ^ " to indicate exponentiation.
Rewrite 4x = 32 - x^2 in the standard form of a quadratic: x^2 + 4x - 32
Then the coefficients are a = 1, b = 4 and c = -32.
Find the discriminant. It is b^2-4ac.
Here, b^2-4ac = 4^2 - 4(1)(-32), or 16 + 128, or 144.
Because the discriminant is positive, we know immediately that this quadratic has two real, unequal roots.
So, the answer to this question is "the graph of 4x = 32 - x^2 cross the x-axis in two places."
Answer:
its a function
slope form:y+5=-1.18·(x-3)
(-2.5,1.5)
Step-by-step explanation:
