Answer:
2x - 4
Step-by-step explanation:
Additive inverse of -2x + 4 = 2x - 4
To find the additive inverse, change the sign of each term
Answer:
1/3
Step-by-step explanation:
write in exponential form
set the exponents equal
divide both sides by 3
Answer:
The exponential equation is <em>A = 600(1.04)^15</em>
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The value of the mutual fund after 15 years is <em>$1,081</em>
Step-by-step explanation:
The value of the mutual fund after the number of years can be represented using the compound interest equation below;
A = P(1 + r/n)^nt
Where A is the value of the mutual fund after 15 years, P is the initial amount invested which is $600, r is the interest rate which is 4% or 0.04(4% = 4/100 = 0.04), n is the number of times we are compounding per year(which is 1 since it is a one time payment per year) and t is the number of years which is 15
Let's plug these values, we have;
A = 600(1 + 0.04/1)^15
A = 600(1.04)^15
A = $1,081 approximately
The cost is 3 times the amount of the apples.
C = 3a
The geometrical relationships between the straight lines ab and cd
is the straight line ab is parallel to the straight line cd
Step-by-step explanation:
Let us revise some notes:
- If a line is drawn from the origin and passes through point A (a , b), then the equation of OA = ax + by
- If a line is drawn from the origin and passes through point B (c , d), then the equation of OB = cx + dy
- To find the equation of AB subtract OB from OA, then AB = (c - a)x + (d - b)y
- The slope of line AB =

∵ oa = 2 x + 9 y
∵ ob = 4 x + 8 y
∵ ab = OB - OA
∴ ab = (4 x + 8 y) - (2 x + 9 y)
∴ ab = 4 x + 8 y - 2 x - 9 y
- Add like terms
∴ ab = (4 x - 2 x) + (8 y - 9 y)
∴ ab = 2 x + -y
∴ ab = 2 x - y
∵ The slope of ab = 
∵ Coefficient of x = 2
∵ Coefficient of y = -1
∴ The slope of ab = 
∵ cd = 4 x - 2 y
∵ Coefficient of x = 4
∵ Coefficient of y = -2
∴ The slope of cd = 
∵ Parallel lines have same slopes
∵ Slope of ab = slope of cd
∴ ab // cd
The geometrical relationships between the straight lines ab and cd
is the straight line ab is parallel to the straight line cd
Learn more;
You can learn more about the parallel lines in brainly.com/question/10483199
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