Answer:
x = 5, y = 15
Step-by-step explanation:
Use substitution to solve the system of equations.
We'll replace y in x + y = 20 with 3x, since y = 3x.
x + 3x = 20
Combine like terms
4x = 20
Divide by 4 on both sides
x = 5
Now to solve for y (don't forget!)
We'll plug x = 5 back into one of the original equations
y = 3(5) = 15
Check first equation:
15 = 3(5)
15 = 15
Check second equation:
5 + 15 = 20
20 = 20
Answer:
∠DEF =56°
Step-by-step explanation:
We are given that arc DEF = 248°
So, arc DCF = 360°-248°
arc DCF = 112°
Now we are required to find the ∠DEF.
So, we will use Inscribed angle theorem.
Inscribed angle theorem: The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.
Intercepted arc = arc DCF = 112°
Inscribed angle = ∠DEF
⇒∠DEF =
⇒∠DEF =
⇒∠DEF =56°
Hence the measure of ∠DEF =56°
Michael's initial investment is $45.80, the cost of the share.
Michael Receives $1.71 in dividends.
He receives $47.50 for the stock when he sells it.
His profit on the sale of the stock is $47.50 - 45.80 = $1.70.
His total return on the stock is his total earnings, the dividends plus his profits on the sale of the stock, divided on what he paid initially, $45.80:
(1.71 + 1.70) ÷ 45.80 = .0744 = 7.45%
7.45% return on investment in less than a year, not bad!
Closest answer is 7.7%, not sure why it isn't exactly 7.45 or 7.5%.
Answer is B) 7.7%
Answer:
x
= -6
Step-by-step explanation:
Solve for x
by simplifying both sides of the equation, then isolating the variable.