The slope:
m = ( y2 - y1 ) / ( x2 - x1 ) = ( 8 2 ) / ( 3 - 2 ) = 6 / 1
m = 6 ( we have the same slope for AB and A`B` )
AB = √[( 3 - 2 )² + ( 8 - 2 )²] = √37
A`B` = 3.5 √37 = 21.29
The scenario in which someone would want to use the paste link is when Jimmy is wring an email to his friend, he copies and pastes a graph in a spreadsheet to his email to show his friend. This way the friend can follow the link to see the spreadsheet.
Answer:
x=2c/3+1
Step-by-step explanation:
Subtract 2c from both sides.
−3x=−3−2c
The equation is in standard form.
−3x=−2c−3
Divide both sides by −3.
-3x/-3=-2c-3/-3
Dividing by −3 undoes the multiplication by −3.
x=-2c-3/-3
Divide −3−2c by −3.
x=2c/3+1
First, let's construct an algebraic equation to formally find the answer:
Let x represent (the value of) the unknown number.
x²= 5x + 24 --- This equation shows that the (positive) number's square equals 24 more than 5 times the number.
Now we can solve for x (the number):
x² = 5x + 24
x² - 5x - 24 = 0
(x + 3)(x - 8) = 0
x = -3, 8
Therefore, this means that x (the number ) can be either -3 OR 8. Both will satisfy the description.
Hope this helps!
If Olivia wants to prevent interest capitalization, she must pay the accrued interest each month. That amount is
... I = Prt = $13,100×0.076×(1/12) = $82.97
Over 4 years (48 months), these payments total $82.97×48 = $3982.56.
_____
If no payments are made, the loan balance grows by the multiplier (1 +r/12) each month. Then the amount of interest that will be capitalized at the end of 48 months is ...
... $13,100×((1 +0.076/12)^48 -1) = $4637.01
The difference in these amounts is ...
... $4637.01 -3982.56 = $654.45 . . . . . matches selection a.
