Answer:
8 and 14
Step-by-step explanation:
X + Y = 22
X= 22-Y
4X= 7Y
4(22-Y) = 7Y
88-4Y=7Y
88= 11Y
8=Y
X= 22-Y= 22-8=14
Answer:
12
Step-by-step explanation:
Distribute the negative which would get your 3x + 6 -3x + 6. The 3x would cancel out and you would add 6+6 = 12
Answer:
<h2>-
56,667cents</h2><h2>
- 6.17%</h2>
Step-by-step explanation:
Before we can determine the monthly loan paymnet, we must first calculate the total amount paid at the end of 6years.
Amount = Principal + Interest
Given Principal = $30,000
Interest = Principal * rate * time/100
Interest = $30,000*6*6/100
Interest = $10,800
Amount = $30,000+ $10,800
Amount = $40,800
If amount paid after 6years is $40,800, my monthly loan payment = $40,800/72 ≈ $566.67 to nearest dollar.
since $1 - 100cents
$566.67 = 100 * 566.67
$567 = 56,667cents
Monthly loan payment to nearest cent will be 56,667cents
EFF = (1 + r /n)^n - 1
r is the rate and n is the number of period per year which is 12months
%EFF = EAR = (1 + 0.06 /12)^ 12 - 1
%EFF = 1.005^12
%EFF = 1.061678 - 1
%EFF = 0.061678
%EFF = 6.17% to 2dp
<h3>Answer:</h3>
Equation of the ellipse = 3x² + 5y² = 32
<h3>Step-by-step explanation:</h3>
<h2>Given:</h2>
- The centre of the ellipse is at the origin and the X axis is the major axis
- It passes through the points (-3, 1) and (2, -2)
<h2>To Find:</h2>
- The equation of the ellipse
<h2>Solution:</h2>
The equation of an ellipse is given by,

Given that the ellipse passes through the point (-3, 1)
Hence,

Cross multiplying we get,
- 9b² + a² = 1 ²× a²b²
- a²b² = 9b² + a²
Multiply by 4 on both sides,
- 4a²b² = 36b² + 4a²------(1)
Also by given the ellipse passes through the point (2, -2)
Substituting this,

Cross multiply,
- 4b² + 4a² = 1 × a²b²
- a²b² = 4b² + 4a²-------(2)
Subtracting equations 2 and 1,
- 3a²b² = 32b²
- 3a² = 32
- a² = 32/3----(3)
Substituting in 2,
- 32/3 × b² = 4b² + 4 × 32/3
- 32/3 b² = 4b² + 128/3
- 32/3 b² = (12b² + 128)/3
- 32b² = 12b² + 128
- 20b² = 128
- b² = 128/20 = 32/5
Substituting the values in the equation for ellipse,


Multiplying whole equation by 32 we get,
3x² + 5y² = 32
<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>