Answer:
33,509,221
Step-by-step explanation:
Plug it into your calculator m8
Answer:
7890
Step-by-step explanation:
(5000*4%)+(x*5%)=594.50
200+(x*5%)=594.50
x*5%=394.50
x=7890
(1 point) find the volume of the parallelepiped with one vertex at (5,−5,−1),(5,−5,−1), and adjacent vertices at (−1,−12,4),(−1,
Alenkinab [10]
The volume is the scalar triple product of the direction vectors from the first point to the others. That is computed as the magnitude of the determinant of the matrix of vector values.
a = (-1, -12, 4) - (5, -5, -1) = (-6, -7, 5)
b = (11, -9, -3) - (5, -5, -1) = (6, -4, -2)
c = (0, 2, -3) - (5, -5, -1) = (-5, 7, -2)
Then |(a×b)•c| is
![\left|det\left[\begin{array}{ccc}-5&7&-2\\-6&-7&5\\6&-4&-2\end{array}\right]\right|=|-176|=176](https://tex.z-dn.net/?f=%5Cleft%7Cdet%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%267%26-2%5C%5C-6%26-7%265%5C%5C6%26-4%26-2%5Cend%7Barray%7D%5Cright%5D%5Cright%7C%3D%7C-176%7C%3D176)
The volume is 176 cubic units.
Answer: price of a senior citizen ticket = $3.71
Let the price of a child ticket = $4.43
Step-by-step explanation:
Let the price of a senior citizen ticket = x
Let the price of a child ticket = y
On the first day of ticket sales the school sold 22 senior citizen tickets and 10 child tickets for a total of $126. This will be:
22x + 10y = 126 ............ i
The school took in $51 on the second day by selling 3 senior citizen tickets and 9 child tickets. This will be:
3x + 9y = 51 ........... ii
22x + 10y = 126 ............ i
3x + 9y = 51 ........... ii
Multiply equation i by 3
Multiply equation ii by 22
66x + 30y = 378 ....... iii
66x + 198y = 1122 ........ iv
Subtract iii from iv
168y = 744
y = 744/168
y = 4.43
Since 3x + 9y = 51
3x + 9(4.43) = 51
3x + 39.87 = 51
3x = 51 - 39.87
3x = 11.13
x = 11.13/3
x = 3.71
Step 1: Set the two equations equal to each other and solve for x.
3x -5 = 6x - 8
3x + (-5+5) = 6x -8 + 5
(3x - 6x) = (6x - 6x) - 3
-3x/-3 = -3/-3
x = 1
Step 2: To solve for y take one of the given equation of your choice (for the purpose of this explanation I will only do y = 3x - 5) and replace x with 1, then solve for y
y = 3(1) - 5
y = 3 - 5
y = -2
(1,-2)
Check:
-2 = 3(1) - 5 ---> - 2 = -2
-2 = 6(1) - 8 ---> -2 = -2
Hope this helped!
