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Answer:
Graphed below.
Step-by-step explanation:
Graphing y = 2x + 1 can be done by finding points on the line. Find the y and x intercepts to make graphing more simple:
Solving for the y-intercept:
y = 2(0) + 1
y = 1, or (0, 1). This is the y-intercept.
Solving for the x-intercept:
0 = 2x + 1
Subtract 1 from both sides:
-1 = 2x
Divide both sides by 2:
x = -1/2, or (-1/2, 0). This is the x-intercept. We can graph the equation given these two points.
Answer:
$1,220,200
Step-by-step explanation:
The total of Mary's payments is ...
$3695.20/mo × 30 yr × 12 mo/yr = $1,330,200
The difference between this repayment amount and the value of her loan is the interest she pays:
$1,330,200 -110,000 = $1,220,200 . . . total interest paid
_____
Mary's effective interest rate is about 40.31% per year--exorbitant by any standard.
Answer:
The area of the larger square is 20
Step-by-step explanation:
Given:
The area of the smaller square =
To Find:
The are of the larger square = ?
Solution:
The diagonal of the smaller square = diameter of the circle = sides of the larger square
The diagonal of the smaller square is
=>
=>
=>
=>
Now this diagonal is equal to the side of the larger square
so the are of the larger square is
=>
=>
=> 20
<span>the quadratic function that is created with roots -3 and 1 is:
f(x) = a(x + 3)(x - 1) = a(x^2 + 2x - 3) = a(x^2 + 2x) - 3a . . . . . . . . (1)
</span><span><span>the quadratic function that is created with</span> vertex at (-1, -8) is:
a(x + 1)^2 - 8 = a(x^2 + 2x + 1) - 8 = a(x^2 + 2x) + a - 8 . . . . . . . . (2)
From (1) and (2): a - 8 = -3a
4a = 8
a = 2
Therefore, required function is f(x) = 2(x^2 + 2x) - 3(2) = 2x^2 + 4x - 6
</span>
Answer: 6%
Step-by-step explanation:
2/50 walk, that's the same as 4/100 or 4%
1/50 bike, that's the same as 2/100 or 2%
4/100 + 2/100 = 6/100 or 6%