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3 years ago

The value of a car decreases by 12% each year. what would be the annual decay factor or multiplier?

Mathematics

1 answer:

abruzzese [7]3 years ago

4 0

Answer:

Step-by-step explanation:

Since we're using exponential decay, the answer would have to be less than 1.00, already eliminating A, B, and C. 1.00 - .12 = .88, which proves that D is our answer. Hope this helped! If you could, please mark brainliest if it's right.

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Because of Theorem 5.47 any function that is continuous on (0, 1) but unbounded cannot be uniformly continuous there. Give an ex

almond37 [142]

Answer:

$f: (0,1) \to \mathbb{R}$

$f(x) = \sin(1/x)$

Step-by-step explanation:

f is continuous because is the composition of two continuous functions:

$g(x) = \sin(x)$ (it is continuous in the real numbers)

$h(x) = 1/x$ (it is continuous in the domain (0,1))

It is bounded because $-1 \leq \sin(\theta) \leq 1$

And it is not uniformly continuous because we can take $\varepsilon = 1$ in the definition. Let $\delta > 0$ we will prove that there exist a pair $x,y\in \mathbb{R}$ such that $|x-y|< \delta$ and $|f(x) -f(y)|> \varepsilon = 1$ .

Now, by the archimedean property we know that there exists a natural number N such that

$\frac{1}{N} < 2\pi \delta$

$\Rightarrow \frac{1}{2\pi N} < \delta$ .

Let's take $x = \frac{1}{2\pi N + \pi/2}$ and $y = \frac{1}{2\pi N + 3\pi/2}$ . We can see that

$|x-y| = \frac{1}{2\pi N + \pi/2}-\frac{1}{2\pi N + 3\pi/2}$

And also:

$|f(x)- f(y)| = |f(2\pi N + \pi/2) - f(2\pi N + 3\pi/2)| = |1 - (-1)| = 2 > \varepsilon$

And we conclude the proof.

8 0

3 years ago

2. Which of the following might cause pollution?

Verdich [7]

Answer: (a) car exhaust; (b) chemicals and (d) people

Step-by-step explanation:

Indeed, it all starts from people. They are the ones who use the cars and make the pollution happen. It is also people who use chemicals to pan and find gold, for example, polluting rivers.

6 0

3 years ago

Read 2 more answers

Wanda started walking along a path 27 seconds before Dave. Wanda walked at a constant rate of 3 feet per second. Dave walked alo

Advocard [28]

Answer:

Wanda and Dave will catch each other in 54 seconds after Dave starts walking.

Step-by-step explanation:

Let Wanda and Dave catch each other when x be the time after Dave starts walking and y be the distance covered by them

It is given that Wanda started walking along a path 27 seconds before Dave and the constant speed of Wanda is 3 feet per second.

$speed=\frac{distance}{time}$

$3=\frac{y}{x+27}$

$y=3(x+27)$

$y=3x+81$ .... (1)

The constant speed of Dave is 4.5 feet per second.

$4.5=\frac{y}{x}$

$y=4.5x$ .... (2)

Equate equation (1) and (2).

$3x+81=4.5x$

$81=1.5x$

Divide both sides by 1.5.

$\frac{81}{1.5}=x$

$54=x$

Therefore, Wanda and Dave will catch each other in 54 seconds after Dave starts walking.

6 0

3 years ago

Which ordered pair is the best estimate for the solution of

devlian [24]

Answer:

(1.5, 2.5) is the best approximate solution.

Step-by-step explanation:

According to the graph, at the point of intersection of these two lines, x is closest to 1.5 and y is simultaneously closest to 2.5.

(1.5, 2.5) is the best approximate solution.

5 0

4 years ago

HELPPP!!! 10 PTS!!!

kkurt [141]

7x-1+7x+8+5x+2=180
7x+7x+5x+2-1+8=180
19x+9=180
19x=180-9
19x=171
19x\19=171\19
x=9
therefore,7x-1
7(9)-1
=62
therefore, 7x+8
7(9)+8
=71
therefore 5x+2
5(9) +2
=47

7 0

3 years ago

Read 2 more answers