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3 years ago

F(x)= 9-x^2, x ≥ 0. f^-1(x)=??

1 answer:

7 0

$y=9-x^{2},\ x\ge0$

Reverse $x$ and $y$ :
$x=9-y^{2},\ y\ge0$
Solve for $y$ :
$x=9-y^{2}$
$\rightarrow y^{2}=9-x$
$\rightarrow y=\sqrt{9-x}$ since $y\ge0$

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A certain city's population is 120,000 and decreases 1.4% per year for 15 years.

mart [117]

Answer:

Decay Problem.

Decay rate, r = 0.014
Initial Amount =120,000

$P(t)=120000(0.986)^t$
P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

$P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time$

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

Since the population decreases, it is a Decay Problem.

Decay rate, r=1.4% =0.014
Initial Amount =120,000

Therefore, the function is:

$P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t$

When t=10 years

$P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)$

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3 years ago

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zaharov [31]

Answer:

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Togethee they paid: $24.10

Step-by-step explanation:

Convert the sales tax percentage to a decimal by moving the decimal point two places to the left or you can divide it by 100.

This should give you .06

Multiply .06 with the original cost before sales tax.

Add this amount to the original cost to get your answer

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