Answer:
m(u) = -0.25(u +2)² +1 or -0.25u² -u
Step-by-step explanation:
The equation is fairly easily written in vertex form, as the vertex point is on a grid line intersection at (-2, 1). The parabola opens downward, so the scale factor is negative.
The vertical change from the vertex is only a fraction of a unit when u differs from the vertex by 1. It is 1 unit when u differs from the vertex by 2, so the magnitude of the vertical scale factor is 1/2² = 1/4.
Our equation will be of the form ...
m(u) = (vertical scale factor)(u - (horizontal vertex location))² + (vertical vertex location)
For this graph, the equation is ...
m(u) = -0.25(u +2)² +1
or, simplifying, we get ...
m(u) = -0.25u² -u
It would be 2,400 i’m pretty certain
Answer:
a) 3 b) 5 c) 7 d) 9
Step-by-step explanation:
For this, you want to replace x in the equation y=x+5 with each of the values listed.
For the first one, -2, the equation becomes y=-2+5, which is solved to y=3.
For the second one, 0, the equation becomes y=0+5, which is solved to y=5.
For the third one, 2, the equation becomes y=2+5, which is solved to y=7.
For the last one, 4, the equation becomes y=4+5, which is solved to y=9.
**This content involves solving algebraic equations with a known variable, which you may wish to revise. I'm always happy to help!
9514 1404 393
Answer:
a. $3,455.20
Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
for loan amount P at annual rate r for t years.
For this mortgage, we use P = $530,000, r = 0.068, t = 30.
A = $530,000(0.068/12)/(1 -(1 +0.068/12)^(-360)) ≈ $3,455.20
The monthly payment is $3,455.20.
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<em>Additional comment</em>
In 7 years, the balloon payment will be $481,559.91.
Answer:
For this, first you must multiply the exponent, which in this case is 1.06^15,
and this gives you 2.39655819.
You then multiply 2.39655819 by 200000.
y = 479311.638
