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3 years ago

6

Suppose your salary in 2014 is $60,000. Assuming an annual inflation rate of 8%, what salary do you need to earn in 2017 in orde

r to have the same purchasing power? (Round your answer to two decimal places.)

1 answer:

Westkost [7]3 years ago

5 0

sorry I messed up dont look at me

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Given f(x) = 9-3x and g(x) = - 6x + 3, find (f + g)(x).

disa [49]

Answer:4

Step-by-step explanation:

6 0

3 years ago

Dada la ecuacion 25x2 + 4y2 = 100, determina las coordenadas de los vertices, focos, las longitudes de los respectivos ejes mayo

Likurg_2 [28]

Answer:

The given equation is

$25x^{2} +4y^{2}=100$

Which represents an elipse.

To find its elements, we need to divide the equation by 100

$\frac{25x^{2} +4y^{2} }{100} =\frac{100}{100} \\\frac{x^{2} }{4} +\frac{y^{2} }{25} =1$

Where $a^{2} =25$ and $b^{2}=4$ . Remember that the greatest denominator is $a$ , and the least is $b$ . So, we extract the square root on each equation.

$a=5$ and $b=2$ .

In a elipse, we have a major axis and a minor axis. In this case, the major axis is vertical and the minor axis is horizontal, that means this is a vertical elipse.

The length of the major axis is $2a=2(5)=10$ .

The length of the minor axis is $2b=2(2)=4$ .

The vertices are $(0,5);(0,-5)$ and $(2,0);(-2,0)$ .

Now, the main parameters of an elipse are related by

$a^{2}=b^{2} +c^{2}$ , which we are gonna use to find $c$ , the parameter of the focus.

$c=\sqrt{a^{2}-b^{2} }=\sqrt{25-4}=\sqrt{21}$

So, the coordinates of each focus are $(0,\sqrt{21})$ and $(0,-\sqrt{21})$

The eccentricity of a elipse is defined

$e=\frac{c}{a}=\frac{\sqrt{21} }{5} \approx 0.92$

The latus rectum is defined

$L=\frac{2b^{2} }{a}=\frac{2(4)}{5} =\frac{8}{5} \approx 1.6$

Finally, the graph of the elipse is attached.

7 0

3 years ago

Try to estimate the probability you'd turn on the radio and hear a song you were thinking about. In other words, estimate the pr

Black_prince [1.1K]

Probabilities are used to determine the likelihood of events

The value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056

<h3>How to estimate the probability</h3>

To calculate the probability, we make use of the following representations:

Event A represents the likelihood of thinking of a song
Event B represents the likelihood of turning on the radio and hearing the song

So, we have:

P(thinking of a song)P(turn on the radio and hear the song) = P(A) * P(B)

Assume that:

P(A) = 0.12 and P(B) = 0.47

So, we have:

P(thinking of a song)P(turn on the radio and hear the song) = 0.12* 0.47

Evaluate the product

P(thinking of a song)P(turn on the radio and hear the song) = 0.0564

Approximate

P(thinking of a song)P(turn on the radio and hear the song) = 0.056

Hence, the value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056

Read more about probabilities at:

brainly.com/question/25870256

8 0

2 years ago

A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere? V = four-thirds (7) cubed V = four-thirds pi (7

lidiya [134]

Answer:

V=4/3*πr^2 is the same as V=four-thirds pi &(7) cubed

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is 1/8 divided by 2

slavikrds [6]

When dividing 1/8 by 2
we have to first take the reciprocal of 2
reciprocal is when the numerator and denominator are exchanged
2 when written as a fraction is $\frac{2}{1}$
we need to find the reciprocal of $\frac{2}{1}$ which is $\frac{1}{2}$
then
$\frac{1}{2} of \frac{1}{8}$
when 'of' function is used it means to multiply the 2 fractions
when multiplying fractions multiply the numerators by numerators and multiply denominators by denominators
is $\frac{1}{2} * \frac{1}{8} = \frac{1}{16}$
answer is $\frac{1}{16}$

4 0

3 years ago

Read 2 more answers