Answer:
$ 22.6
Step-by-step explanation:
Given that
Price charged for each box of seeds = x
Profit gained from from selling boxes of seeds = p
The equation of profit is modeled as
P(x) = 0.5x² + 36x - 179
As per given information if the fundraisers make a profit of $379 then find the minimum price charged for each box of seed.
Now our above equation becomes
379 = -0.5x² + 36x - 179
Simplifying
379+179 = -0.5x² + 36x
558 = -0.5x² + 36x
0.5x² - 36x + 558 =0
multipying both sides of equation by 2
2(0.5x² - 36x + 558) = 2x0
x² - 72x +1116 = 0
Using quadratic formula we get the following factors
x= 49.4 or x= 22.60
As we can the smalles value is 22.6
So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.
NOTE.- just substitute values and resolve
Distance
|a+bi| is the length of the vector from origin to (a,b).
3p=p(1+0.06)^t
3=(1.06)^t
T=log(3)÷log(1.06)
T=18.9 years
Answer:
B. 
Step-by-step explanation:
We have,
The first term of the series,
.
The common difference is given by,
i.e.
.
Since, the given series is an infinite series, then,
Sum of an infinite series = 
i.e. Sum the series = 
i.e. Sum the series = 
i.e. Sum the series = 
i.e. Sum the series = 
i.e. Sum the series = 
Thus, the sum of the series is
.
Answer:
(-3,4)
Step-by-step explanation:
A system of equations is given to us. The given equations are ,

We need to plot the graph and find the solution of the given system . For that refer to attachment . The point at which both the lines of the graph will intersect each other will be the solution of the given system of equations .
From the graph we can see that it intersect at (-3,4) . Therefore the Solution is ,
