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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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Which is a possible turning point for the continuous function f(x)?

babymother [125]

Answer:

We are given coordinates of a continuous function f(x)

(–2, 0)

(0, –2)

(2, –1)

(4, 0).

We need to find the possible turning point for the continuous function.

Note: Turning point is a point on the graph where slope of the curve changes from negative to positive or positive to negative.

A turning point is always lowest or highest point of the curve (where bump of the graph seen).

For the given coordinates we can see that (–2, 0) and (4, 0) coordinates are in a same line, that is on the x-axis.

But the coordinate (0, –2) is the lowest point on the graph.

Therefore, (0, –2) is the turning point for the continuous function given.

hoped this was helpful!

5 0

2 years ago

The area of the sector formed by the 110 degree central angle is 40 units squared what is the radius

olga2289 [7]

We know that
area of the circle=pi*r²

if 360° (full circle) has an area of-------------> pi*r²
110°------------------------------> 40 units²
pi*r²=40*360/110--------> pi*r²=130.91------> r²=130.91/pi-----> r²=41.69
r=6.46 units

the answer is
the radius is 6.46 units

7 0

2 years ago

AB and DE are chords that intersect at point F inside circle C as shown. If the measure of arc EA= 50 degrees and the measure of

defon

Answer:

Part 1) $m\angle AFE=55^o$

Part 2) $m\angle EFB=125^o$

Step-by-step explanation:

Part 1) what is the measure of angle AFE

we know that

The measure of the interior angle is the semisum of the arches that comprise it and its opposite.

<u>Note:</u> In this problem the correct measure of arc EA is 40 degrees (see the picture)

so

$m\angle AFE=\frac{1}{2}(arc\ EA+arc\ DB)$

substitute the given values

$m\angle AFE=\frac{1}{2}(40^o+70^o)=55^o$

Part 2) what is the measure of angle EFB?

we know that

$m\angle AFE+m\angle EFB=180^o$ ---> by supplementary angles (form a linear pair)

so

substitute the given value

$55^o+m\angle EFB=180^o$

$m\angle EFB=180^o-55^o=125^o$

8 0

3 years ago

Write an expression that represents the sum of x and 8

krok68 [10]

Answer:

$x+8$

Step-by-step explanation:

we know that

The phrase " the sum of x and 8" is equivalent to adds the number x and the number 8 or sum the number x plus the number 8

so

$x+8$

6 0

3 years ago

Let a, b, c and x elements in the group G. In each of the following solve for x in terms of a, b, and c.

Nezavi [6.7K]

Answer:

$x=c.a^{-1}.b^{-1}$

Step-by-step explanation:

Given equation,

$axb = c-----(1)$

$(axb) ( a^{-1}.b^{-1} ) = c.(a^{-1}b{-1})$

$(xb)(a)(a^{-1}.b^{-1} ) = c.(a^{-1}b{-1})$ ( commutative law of multiplication )

$(xb)(a.a^{-1}).b^{-1} = c.a^{-1}b{-1}$ ( Associative property )

$(xb).e.b^{-1} = c.a^{-1}b{-1}$

$(xb).b^{-1}=c.a^{-1}.b^{-1}$ ( identity property )

$x.(b.b^{-1})=c.a^{-1}.b^{-1}$ ( Associative property )

$x.e=c.a^{-1}.b^{-1}$

$x=c.a^{-1}.b^{-1}$ ( identity property )

5 0

3 years ago