Answer:
The amount invested at 6% is $12,857.14
The amount invested at 13% is $17,142.86
Step-by-step explanation:
Let
x ----> the amount invested at 6%
30,000-x -----> the amount invested at 13%
we know that
The interest earned by the amount invested at 6% plus the interest earned by the amount at 13% must be equal to the interest earned by the total amount of $30,000 at 10%
Remember that
so
The linear equation that represent this situation is
solve for x
therefore
The amount invested at 6% is $12,857.14
The amount invested at 13% is $17,142.86
Answer:
there is no m in the question
Step-by-step explanation:
Answer:
x= 0, y= -1
Step-by-step explanation:
To obtain the values of x and y from a system of equations, start by labelling the given equations.
8x +5y= -5 -----(1)
7x -3y= 3 -----(2)
Let's solve by elimination.
Here, I will be working to eliminate the y term. This is done by ensuring both equations have the same numerical value in the coefficient of y.
(1) ×3:
24x +15y= -15 -----(3)
(2) ×5:
35x -15y= 15 -----(4)
Add the two equations together since the coefficient of y has opposite signs.
(3) +(4):
24x +15y +35x -15y= -15 +15
59x= 0
Divide both sides by 59:
x= 0
Now, substitute the value of x into any equations to find the value of y.
Substitute x= 0 into (1):
8(0) +5y= -5
5y= -5
Divide both sides by 5:
y= -5 ÷5
y= -1
Additional:
For similar questions on system of equations, do check out the following!
Answer:
y = 300
Step-by-step explanation:
y = 250 (1+0.2)
First add the 1 and 0.2
y=250(1.2)
multiply 250 with 1.2
y = 300
:)
The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.
<h3>How to calculate the ellipse? </h3>
From the information given, the equation of parabola will be:
= (x - 3)²/5² + (y - 2)²/3² = 1
Hence, h = 3, k = 2, a = 5, b = 3
e = ✓1 - ✓3²/5²
E = 4/5 = 0.8
The directix will be:
x = 3 + 5/0.8
x = 9.25
x = 3 - 5/0.8
x = -3.25
Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.
Learn more about ellipse on:
brainly.com/question/16904744