34.5 minutes
hope this helped!
Answer:
after 10 months
Step-by-step explanation:
Let x be the number of months and y be the amount they still owe.
Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.
Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in
b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.
They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:
-60x+ 1000 = -20x+ 600
1000 = 40x+ 600
400 = 40x
10=x
They will then owe the same amount after 10 months.
Answer:
4x-1
Step-by-step explanation:
d/dx(2x^2-x)=4x-1
Answer:
C
Step-by-step explanation:
there is the ground line of about -5.5 to +5.5 = 11 ft.
then the 2 walls of 7 ft height = 14 ft.
that is already 25 ft.
the 2 roof sides are both a little bit longer than the corresponding ground line of 5.5ft.
so, estimated about 6ft per roof side. that adds 12 ft.
so, we are at about 37 ft.
and the closest answer is C. 36 ft.
in actual numbers a roof side is (using Pythagoras) :
roof side² = 2.5² + 5.5² = 6.25 + 30.25 = 36.5
roof side = 6.041522987... ft
so, the actual perimeter is
25 + 2×6.041522987... = 37.08304597... ft