Answer:
Final answer is $4440.
Step-by-step explanation:
Let amount of money invested in 8% stock = x
Let amount of money invested in 6% stock = y
then total money invested $325.6 gives equation
8% of x + 6% of y = 325.6
0.08x + 0.06y = 325.6
8x + 6y = 32560...(i)
other equation will be x=2y...(ii)
plug (ii) into (i)
8x + 6y = 32560
8(2y) + 6y = 32560
16y+ 6y = 32560
22y = 32560
y=1480
plug y=1480 into (ii)
x=2y=2(1480)=2960
Then total money invested in stocks = x+y= 1480+2960=4440
Hence final answer is $4440.
Answer:
33.94
Explanation:
First start off by finding the total regardless of the 5.25 cents.
(3x8.50)+(3x1.25)+(2x1.50)=32.25
Then take that answer and multiply by your 5.25 cents per dollar
32.25x.0525 (since we're dealing with money)
then add that answer to the original 32.25
Step-by-step explanation:
Given:
Wavelength of wave : 3.3m
Frequency of wave : 100Hz.
speed/velocity : ?
As we know
velocity = wavelength × Frequency
= 3.3 × 100
=330ms−1
So the speed of the wave is 330 ms·¹
Answer:
R = ![\left[\begin{array}{ccc}-3&-2\\1&-3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%26-2%5C%5C1%26-3%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
P - Q + R = I ( I is the identity matrix )
![\left[\begin{array}{ccc}2&4\\3&5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%264%5C%5C3%265%5C%5C%5Cend%7Barray%7D%5Cright%5D)
- ![\left[\begin{array}{ccc}-2&2\\4&1\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%262%5C%5C4%261%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ R = ![\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%261%5C%5C%5Cend%7Barray%7D%5Cright%5D)
( subtract corresponding elements )
![\left[\begin{array}{ccc}2-(-2)&4-2\\3-4&5-1\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2-%28-2%29%264-2%5C%5C3-4%265-1%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ R =
![\left[\begin{array}{ccc}4&2\\-1&4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%262%5C%5C-1%264%5C%5C%5Cend%7Barray%7D%5Cright%5D)
+ R =
R = - =
Answer: x goes from 0 to 2, y changes from 0 to -2
Step-by-step explanation:
