Answer:
The system of linear equations is x + y = 64 and x = y + 14.
Given that,
The total number of students is 64 .
Here we assume the x be the number of students in filmmaking club .
And, y be the number of students in yearbook club.
Based on the above information, the calculation is as follows:
x + y = 64
And,
x = y + 14
Therefore,
We can say that
Number of students in yearbook club = 25
And, the number of students in filmmaking club = 39
Answer:
$24.35
Step-by-step explanation:
We will use the compound interest formula provided to solve this problem:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 1% into a decimal:
1% -> 
-> 0.01
Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:
Lastly, subtract <em>A </em>from the principal to get the interest earned:
Answer: it’s either 5x^3 -4x^2-7x or
-3x^3-4x^2-7x
Step-by-step explanation:
i put it in my calculator
The function you seek to minimize is
()=3‾√4(3)2+(13−4)2
f
(
x
)
=
3
4
(
x
3
)
2
+
(
13
−
x
4
)
2
Then
′()=3‾√18−13−8=(3‾√18+18)−138
f
′
(
x
)
=
3
x
18
−
13
−
x
8
=
(
3
18
+
1
8
)
x
−
13
8
Note that ″()>0
f
″
(
x
)
>
0
so that the critical point at ′()=0
f
′
(
x
)
=
0
will be a minimum. The critical point is at
=1179+43‾√≈7.345m
x
=
117
9
+
4
3
≈
7.345
m
So that the amount used for the square will be 13−
13
−
x
, or
13−=524+33‾√≈5.655m
