PLEASE HELP! SERIOUS ANSWERS ONLY! [99 POINTS]

Mathematics

2 answers:

Gekata [30.6K]3 years ago

7 0

Well if its exponential it must be x ^n

Vinvika [58]3 years ago

3 0

The answer is x^n since over time it’ll get smaller

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I need help pls someone

Solnce55 [7]

In this question they've given us the formula and they just want us to plug in the numbers and get the value.

P is the original value, P=$600

r is the depreciation rate, r=10%=0.1

t is the time in years, t=2

$A = P(1-r)^t = 600(1 - 0.1)^2 = 600 \cdot .9^2 = 486$

Answer: $486

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3 years ago

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den301095 [7]

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2 years ago

Read 2 more answers

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Only 1 try

vagabundo [1.1K]

Using the shell method, the volume is

$\displaystyle 2\pi \int_0^1 (2-x) \cdot 8x^3 \, dx = 16\pi \int_0^1 (2x^3 - x^4) \, dx$

Each cylindrical shell has radius $2-x$ (the horizontal distance from the axis of revolution to the curve $y=8x^3$ ); has height $8x^3$ (the vertical distance between a point on the $x$ -axis in $0\le x\le1$ and the curve $y=8x^3$ ).

Compute the integral.

$\displaystyle 16 \pi \int_0^1 (2x^3 - x^4) \, dx = 16\pi \left(\frac{x^4}2 - \frac{x^5}5\right) \bigg|_{x=0}^{x=1} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = 16\pi \left(\frac12 - \frac15\right) \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \frac{24}5\pi = \boxed{4.8\pi}$