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olya-2409 [2.1K]
3 years ago
8

The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year. Which function equation

represents the population of the city after t years?

Mathematics
2 answers:
Margaret [11]3 years ago
8 0

Answer:

This was the correct answer, I even provided proof from my own test. Hope this helps!

Step-by-step explanation:


Kobotan [32]3 years ago
3 0
P(t) = 451400*0.968^t . . . . . models the population after t years.

_____
The multiplier from one year to the next is (1 -3.2%) = (1 -.032) = 0.968.
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6 0
3 years ago
Write the equation for a parabola with a focus at (-8, -1) and a directrix at y = − 4.
Sidana [21]

Answer:

y = 1/6 x^2 + 8/3 x + 49/6

Step-by-step explanation:

This is a parabola which opens upwards.

The distance of a point (x, y)  from the focus is

√[(x -  -8)^2  + (y - -1)^2] and

the distance of the point from the line y = -4

= y - -4

These distances are equal for a parabola so:

√[(x -  -8)^2  + (y - -1)^2] = y + 4

Squaring both sides:

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x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16

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y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.

4 0
3 years ago
Can someone help me please?
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The height should be around 9.19 or 9.2 if you round it up.
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