Answer:
135 miles.
Step-by-step explanation:
45 x 3= 135
Answer:
Around 27.2 years later
Step-by-step explanation:
This is compound decline problem. We use the formula:
Where
F is future amount (100)
P is present amount (229)
r is the rate of decrease (3% means 3/100 = 0.03)
t is the time in years (which we want to find)
So, lets substitute and solve:
So, around 27.2 years later, the population would reach 100
Answer:
B is the correct answer 26°
Answer:
8
Step-by-step explanation:
Let x represent the length of the shortest side. Then (x+7) is the length of the longer side, and (3x-7) is the length of the hypotenuse. The Pythagorean theorem gives the relation ...
(3x -7)² = x² +(x +7)²
9x² -42x +49 = x² +x² +14x +49
7x² -56x = 0 . . . . . . . . . subtract the right side, simplify
7x(x -8) = 0
Values of x that satisfy this equation are x=0 and x=8. We know x=0 is not a viable solution, so ...
the shortest side is 8 units long
Answer:
1) 1/4
2) 3/5
Step-by-step explanation:
1) The rate of change is basically the slope, and you can find the slope by doing:
change in y/change in x
I started with the point (0,-2) because it's on the line
It goes up 1 and left 4 to get to the second point on the line
So change in y/change in x = 1/4 (this is the rate of change)
2) This is basically the same thing, but you need to do some subtraction.
Change in y = -9-(-3) = -6
Change in x = -5 - 5 = -10
Change in y/change in x = 3/5 (this is the slope or rate of change)
