Answer:
$1781.53
Step-by-step explanation:
Simple Interest Rate Formula: A = P(1 + r)ⁿ
Step 1: Define variables
Principle amount <em>P </em>= 1500
Rate <em>r</em> = 0.035
Years <em>n</em> = 5
Step 2: Substitute and Evaluate for A
A = 1500(1 + 0.035)⁵
A = 1500(1.035)⁵
A = 1500(1.18769)
A = 1781.53
Step-by-step explanation:
n(U)= 150
n(F)=80
n(M)=70
n(MuN) complement= 30
A-b=21
5a-2b=18
We can use substitution here. Take the first equation and solve for A. (Picking this one because it's easy)
a = 21+b
Plugin to the second equation:5(21+b)-2b=18
Simplify: 105 + 5b - 2b = 18
Simplify: 105 + 3b = 18
Subtract both sides: 3b = 18-105
Simplify: 3b = -87
Divide: b = -29
Plug back into the first: a=21+b
a = 21 - 29
a = -8
Option D
Answer: First Option: Robin's graph is a reflection of Giselle´s graph over the x-axis.
A reflection of the graph f(x)=y is g(x)=-y. In this case y=x^2, then:
g(x)=-x^2 that corresponds with the Robin's function
Answer:
x = 1/3, x = -1.
Step-by-step explanation:
2x(x + 2) + (x - 1)² = 2
Distribute the 2x into x + 2.
2x² + 4x + (x - 1)² = 2
Square (x - 1).
2x² + 4x + x² - x - x + 1 = 2
Combine terms.
2x² + x² + 4x - 2x + 1 = 2
Combine terms again.
3x² + 2x + 1 = 2
Subtract 2 from both sides.
3x² + 2x - 1 = 0
Factor.
(3x - 1)(x + 1) = 0.
Finding the x-values here is the same thing as finding the 0s, so set both of the expressions to 0.
3x - 1 = 0
Add 1 to both sides.
3x = 1
Divide by 3.
x = 1/3.
x + 1 = 0
Subtract 1 from both sides.
x = -1.
