Xy = 940
<span>and </span>
<span>Cost = 5(2x) + 5y + 10y (I chose y to be the side with brick). The cost equation simplifies to: </span>
<span>C = 10x + 15y </span>
<span>Replace y in the cost equation with 940/x: </span>
<span>C = 10x + 15(940/x) </span>
<span>C = 10x + 14100/x <---this is the equation you need to minimize. </span>
<span>C' = 10 - 14100/x^2 </span>
<span>10 - 14100/x^2 = 0 </span>
<span>14100/x^2 = 10 </span>
<span>x^2 = 14100/10 = 1410 </span>
<span>x = sqrt(1410) = 37.55 </span>
<span>y = 25.03 <---this is the length of the brick fence.</span>
Answer:
<h2>£1346.97</h2>
Step-by-step explanation:
Step one
given the amount £761
we are asked to increase this amount by 77%
let us first find 77% of the amount £761
=77/100*761
=0.77*761
= £585.97
Step two:
Hence 77% of £761 is £585.97
therefore the increase will be to add the two amounts together
=£585.97+£761
=£1346.97
Answer:
Option C.
Step-by-step explanation:
As we can see from the graph, we have plotted the different points.
If the line drawn through the scatter plots, shows the relationship between the length x and mass f(x) then the function will be in the form of
f(x) = mx + b
where m = slope of the line that fits the best
b = y-intercept of the line
Since the plotted line passes through two pints (1, 1) and (10, 94).
Then the slope m = 
m = 
m = 
m = 10.3
Now we place the coordinates (1, 1) in the equation to find the value of y-intercept b.
1 = 10.3 + b
b = 1 - 10.3
b = -9.3 ≈ 9
So the function will be f(x) = 10.3x - 9
Option C is the answer.
I think the answer to this question would be B