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Sphinxa [80]
3 years ago
8

NEED QUICK HELP.

Mathematics
1 answer:
Andrew [12]3 years ago
5 0

Hello!

The equation for an exponential deprecation model like this is y = a(1-r)^{x}, where a is the starting value, x is the number of years passed, and r is the amount the value deprecates each year.

We know what a and r are: a = 1600, as that is the original cost of the computer, and r = .18, as that's how much it decreases by. Substitute these two into the equation.

We get y = 1600(1-.18)^{x}. Now, subtract 1 - .18 to get our final answer.

y = 1600(.82)^{x} is therefore the final model.

Hope this helps!

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Solve the the equation tan(x+pi/3) = sqrt 3/3 over the interval [0, 2].
kupik [55]

Rewrite the right side as √3/3 = 1/√3, and recall that tan(x) = 1/√3 when x = π/6. Then since tan is π-periodic, taking the inverse tan of both sides gives

\tan\left(x + \dfrac\pi3\right) = \dfrac1{\sqrt3} \implies \tan^{-1}\left(\tan\left(x + \dfrac\pi3\right)\right) = \tan^{-1}\left(\dfrac1{\sqrt3}\right) + n\pi

\implies x + \dfrac\pi3 = \dfrac\pi6 + n\pi

where n is any integer. Solving for x, we get

x = -\dfrac\pi6 + n\pi

and the solutions in the interval [0, 2π] are x = 5π/6 and x = 11π/6 (for n = 1 and n = 2).

7 0
2 years ago
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
kogti [31]

The solution will be a number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

<h3>Inequality expression</h3>

Inequalities are equations that are separated by an equal sign. Given the inequality expression

3(8 – 4x) < 6(x – 5)

Expand

3(8) - 3(4x) < 6x - 6(5)

24 - 12x < 6x - 30

Collect the like terms

-12x - 6x < -30 - 24

-18x < -54

x > 3

Hence the solution will be a number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

Learn more on inequality here: brainly.com/question/11613554

#SPJ1

5 0
2 years ago
Vertx: (3, 1)<br> Focus: (3,-1)
enot [183]

Answer:

i need help with this one two

Step-by-step explanation:

.

5 0
3 years ago
I don’t know how to divide 3 and 2 digits
Varvara68 [4.7K]
3.5 think of it as 3.0
C. ——
2.0
8 0
3 years ago
Which numbers are rational? select all that apply. A. pi B. √50 C. 2.3 D. √144
aev [14]
C. 2.3
D.√144


Rational roots or decimals are numbers that have an end point. 

pi 'technically' never ends, while √50 = 7.07106781<span>…, which never ends either
</span>

hope this helps
5 0
3 years ago
Read 2 more answers
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