![\bf \boxed{-9}\rule[0.35em]{9em}{0.25pt}-2\rule[0.35em]{1em}{0.25pt}\stackrel{\stackrel{midpoint}{\downarrow }}{-1.5}\rule[0.35em]{1em}{0.25pt}-1\rule[0.35em]{2em}{0.25pt}0\rule[0.35em]{10em}{0.25pt}\boxed{6}](https://tex.z-dn.net/?f=%5Cbf%20%5Cboxed%7B-9%7D%5Crule%5B0.35em%5D%7B9em%7D%7B0.25pt%7D-2%5Crule%5B0.35em%5D%7B1em%7D%7B0.25pt%7D%5Cstackrel%7B%5Cstackrel%7Bmidpoint%7D%7B%5Cdownarrow%20%7D%7D%7B-1.5%7D%5Crule%5B0.35em%5D%7B1em%7D%7B0.25pt%7D-1%5Crule%5B0.35em%5D%7B2em%7D%7B0.25pt%7D0%5Crule%5B0.35em%5D%7B10em%7D%7B0.25pt%7D%5Cboxed%7B6%7D)
from -9---------------------------0------------------6, there are 9+6 units, namely 15, half that is 7.5, 7.5 units from -9 is -1.5.
Answer:
Is there a picture?
Step-by-step explanation:
She should invest $30000 in the 9% fund and $10000 in the 13% fund.
<u><em>Explanation</em></u>
Suppose, the amount of investment at 9% rate is
dollar.
As the total amount of investment is $40000 , so the investment at 13% rate will be: ![(40000-x) dollar](https://tex.z-dn.net/?f=%2840000-x%29%20dollar)
So, the amount of earnings per year from 9% fund
dollar
and the amount of earnings per year from 13% fund
dollar.
Given that, the <u>total earnings per year is $4000</u>. So the equation will be......
![0.09x+0.13(40000-x)=4000\\ \\ 0.09x+5200-0.13x=4000\\ \\ -0.04x=4000-5200\\ \\ -0.04x= -1200\\ \\ x= \frac{-1200}{-0.04}=30000](https://tex.z-dn.net/?f=0.09x%2B0.13%2840000-x%29%3D4000%5C%5C%20%5C%5C%200.09x%2B5200-0.13x%3D4000%5C%5C%20%5C%5C%20-0.04x%3D4000-5200%5C%5C%20%5C%5C%20-0.04x%3D%20-1200%5C%5C%20%5C%5C%20x%3D%20%5Cfrac%7B-1200%7D%7B-0.04%7D%3D30000)
So, the amount of investment at 9% fund is $30000 and the amount of investment at 13% fund = ($40000- $30000)= $10000
Answer:
Step-by-step explanation:
We have been two algebraic expressions which is given below:
We have to find the value of x - y. so we need to find the value of x and y.
4x - y = 1 * 3
3x + 2y = 20 * 4
- 12x - 3y = 3
- 12x + 8y = 80
--------------------
-11y = - 77
y = 77/11
y = 7
- <u>Substitute the value of y in equation 1.</u>
4x - y = 1
4x - 7 = 1
4x = 1 + 7
4x = 8
x = 8/4
x = 2
- x - y
- 2 - 7 = -5
- Therefore, the required value of x, y , and x - y are 2,7 and -5 respectively.
Answer:
$33.60
Step-by-step explanation:
Note that "full price" is 1.00($42.00) = $42.00.
"20% discounted price is 0.80($42.00) = $33.60. This is the sale price.
The discount is 0.20($42.00) = $8.40 (but we weren't asked for that).