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zubka84 [21]
3 years ago
8

The value of a piece of property is growing at a rate of 3.5% annually. If the property was worth $125,000 when it was purchased

, which equation could be used to determine the value of the property,x , years after it was purchased?
A.Y = 125000(3.5)x B. y = 125000(0.0035)x

C. y = 125000(1.035)x D. y = 125000(0.965)x
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
3 0

C.) Y = 125000(1.035)x

Step-by-step explanation:

I took the test and got it right

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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
lbvjy [14]

Answer:

The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)

Step-by-step explanation:

Focus: F=(3,1)=(xf, yf)→xf=3, yf=1

Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:

f(x)=[1 / (4p)] (x-h)^2+k

where Vertex: V=(h,k)

The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:

Vertex is the midpoint between (3,5) and (3,1):

h=(3+3)/2→h=6/2→h=3

k=(5+1)/2→k=6/2→k=3

Vertex: V=(h,k)→V=(3,3)

p=yf-k→p=1-3→p=-2

Replacing the values in the equation:

f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3

f(x)=[ 1 / (-8) ] (x-3)^2 + 3

f(x)= - (1/8) (x-3)^2 + 3

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