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riadik2000 [5.3K]

3 years ago

13

Baby pools are not selling well at Sam's. So he decides to clearance them for 19.99,plus an extra 20% off. Approximately, how mu

ch will a baby pool cost?

1 answer:

faust18 [17]3 years ago

5 0

answer would be

17.99

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Find the inverse of the function.

asambeis [7]

Answer:

A) $f^{-1}(n)= (n+2)^3$

Step-by-step explanation:

$f(n) = \sqrt[3]{n} -2$

$y = \sqrt[3]{n} -2$

$y = n^{1/3}-2$

$n = y^{1/3} -2$

$n + 2 = y^{1/3}$

$y = (n + 2) ^3$

$f^{-1}(n) = (n + 2)^3$

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Answer this question please and thank you

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Answer:

$\frac{1}{729}$

Step-by-step explanation:

1) Use the division distribution property: (x/y)^a = x^a/y^a.

$\frac{1}{9^{3} }$

2) Simplify 9³ to 729.

$\frac{1}{729}$

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Answer:

Step-by-step explanation:

The scale factor is 2/3

2/3=2*2/2*3=4/6

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3 years ago

The government of the Republic of Lemon Island plans to transform their lemon-based

sattari [20]

Step-by-step explanation:

dy/dt = (A − Be^(-t/5)) y

(a) Find the general solution by separating the variables and integrating.

dy / y = (A − Be^(-t/5)) dt

dy / y = [A + 5B (-⅕ e^(-t/5))] dt

ln |y| = At + 5B e^(-t/5) + C

y = e^(At + 5B e^(-t/5) + C)

y = Ce^(At + 5B e^(-t/5))

(b) As t approaches infinity, dy/dt approaches Ay. The rate of growth, A, is triple the initial rate of growth 0.02, so A = 0.06.

When t = 0, dy/dt = (A − B)y. The rate of growth, A−B, is 0.02. We know A = 0.06, so B = 0.04.

(c) Given that A = 0.06, B = 0.04, and y(0) = 50×10⁶ − 10×10⁶ = 40×10⁶:

40×10⁶ = Ce^(0.06(0) + 5(0.04) e^(-0/5))

40×10⁶ = Ce^(0.2)

C = 40×10⁶ e^(-0.2)

y = 40×10⁶ e^(-0.2) e^(0.06t + 0.2 e^(-t/5))

y = 40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5))

(d) If A = 0.02 and B = 0, and there is no transformation (y(0) = 50×10⁶), then:

50×10⁶ = Ce^(0.02(0) + 0)

50×10⁶ = C

y = 50×10⁶ e^(0.02t)

Comparing to the answer from part (c):

40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5)) = 50×10⁶ e^(0.02t)

e^(-0.2 + 0.04t + 0.2 e^(-t/5)) = 5/4

-0.2 + 0.04t + 0.2 e^(-t/5) = ln(5/4)

-5 + t + 5e^(-t/5) = 25 ln(5/4)

t + 5e^(-t/5) = 5 + 25 ln(5/4)

Solve with a calculator:

t = 9.886

The transformed economy surpasses the untransformed economy in the 10th year.

(e) In year t=5, the size of the transformed economy is:

y = 40×10⁶ e^(-0.2 + 0.06(5) + 0.2 e^(-5/5))

y = 47.6×10⁶

The percent growth is:

(47.6×10⁶ − 40×10⁶) / 40×10⁶ × 100% = 19%

The growth rate is greater than 4%, so the current government can expect to be reelected.

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3 years ago

Slope Is --3, and (1, 2) is on the line.<br> The equation of the line is y

topjm [15]

Answer:

y= -3x + 5

Step-by-step explanation:

Use the equation of a line formula:

y- y1 = m(x - x1)

where y1 and x1 are the y and x coordinates from the given point (1,2)

So y1= 2

x1= 1

And where m is the slope, -3

Plug in to get y-2 = -3(x-1)

Simplify and solve for y

y= -3(x-1)+2

y= -3x +3 +2

y = -3x + 5

8 0

3 years ago