Help please what is the inverse of the function

Answer:

The monthly disability benefit is $2580

Step-by-step explanation:

Given

[tex]Final\ Salary\ (P) = \$43000[/tex]

[tex]Age = 52[/tex]

[tex]Benefit\ Rate (R) = 2\%[/tex]

Worked = 26 years

Expected = 62 years

Required

Determine the monthly disability benefit

First, we need to determine the years (T) left for her to work;

[tex]T = Expected - Worked[/tex]

[tex]T = 62 - 26[/tex]

[tex]T = 36[/tex]

Next, is to calculate the yearly disability benefit as follows;

[tex]Benefit = PRT[/tex]

Substitute 36 for T, 2% for R and 43,000 for P

[tex]Benefit = 43000 * 2\% * 36[/tex]

Convert percentage to decimal

[tex]Benefit = 43000 * 0.02 * 36[/tex]

[tex]Benefit = 30960[/tex]

There are 12 months in a year;

So; Monthly Benefit is as follows;

[tex]Monthly = \frac{30960}{12}[/tex]

[tex]Monthly = \$2580[/tex]

Hence, the monthly disability benefit is $2580

Answer:

See below.

Step-by-step explanation:

So, looking at the graph (and you graphed correctly, so nice job :D ) we can see that the range (the span of y-values) covered by the graph is everything less than or equal to 0. Therefore, our range should be all values less than or equal to 0. And this includes 0.

Therefore, in interval notation, our answer is:

[tex](-\infty,0][/tex]

Your answer of:

[tex](0,-\infty)[/tex]

is incorrect for 2 reasons.

First, we need to use brackets for the 0 since we include it in our solution set. (5,0) is a valid point in the equation (it's also the vertex). Thus, we need to use brackets.

Second, traditionally, the smaller unit comes first. 0 is technically greater than negative infinity. Yes, the graph does go from 0 to negative infinity, but conventionally, we would still write negative infinity first.

And everything else is correct (maybe you forgot to add "flipped over x-axis for the first question," however?) so nice work!

Answer:

Height after 5 seconds is 215 ft

Step-by-step explanation:

Given that:

The initial velocity of object which is projected upwards is 123 ft/sec.

Height of the object, h after time t in seconds,  is given as:

[tex]h=-16t^2+123t[/tex]

Here, t will always be positive, so [tex]123t[/tex] and [tex]16t^2[/tex] will also be positive.

But coefficient of [tex]16t^2[/tex] is negative, that means something is subtracted from the positive term [tex]123t[/tex].

To find:

Height of object after 5 seconds.

Solution:

Given that [tex]t=5[/tex] seconds.

Let us put the value in the given relation of [tex]h[/tex] and [tex]t[/tex]:

[tex]h=-16\times 5^2+123 \times 5\\\Rightarrow h=-400+615\\\Rightarrow \bold{h = 215\ ft}[/tex]

So, height after 5 seconds is 215 ft.

===================================================

Work Shown:

L = length = 2 cm

W = width = 2 cm

H = height = 3 cm

SA = surface area of rectangular prism (aka rectangular block)

SA = 2*(LW + LH + WH)

SA = 2*(2*2 + 2*3 + 2*3)

SA = 2*(4+6+6)

SA = 2*(16)

SA = 32 square cm

Answer:

Let x be the number of silver medals.

As there were two more gold medals than silver ones, gold medals are x+2

We also know that the number of bronze medals was 4 less than the sum of gold and silver, so if there are x + 2 of gold and x of silver, there are x+x+2-4 of bronze.

Now, we can do an equation, as we know there were a total of 28 medals:

x + x + 2 + x + x + 2 - 4 = 28

And we isolate x:

4x = 28

x = 28/4 = 7

There were 7 silver medals, so there were 9 gold ones (7-2) and 12 of bronze (9+7-4).

The number of Gold, Silver and Bronze medals are 9, 7 and 12 respectively.

Let the number of silver medals = s

Let the number of good medals = s + 2

Let the number of bronze medals = 2s - 2

Total medals = 28

Therefore, the value for each medal will be:

s + s+2 + 2s-2 = 28

Collect like terms

4s = 28 - 2 + 2

4s = 28

s = 28/4 = 7

Silver medals = 7

Gold medals = s + 2 = 7 + 2 = 9

Bronze medals = 2s - 2 = 2(7) -2 = 14 - 2 = 12

Read related link on:

https://brainly.com/question/16784592

Answer:

$54.40

Step-by-step explanation:

First, find the new price after the 20% markdown:

80(0.8)

= 64

Then, find the price with the 15% markdown:

64(0.85)

= 54.4

So, the new price of the coat is $54.40

Answer:

y= 9x -4

Step-by-step explanation:

Please see attached picture for full solution.

The integers here are 9 and -4.

There isnt a need to use fractions in this case and hence I did not write the integers into a fraction (e.g. -4 into [tex] \frac{ - 4}{1} [/tex]) since the question requires them to be in the simplest form.

Answer:

374 °F

Step-by-step explanation:

Data obtained from the question include the following:

Temperature (°C) = 190 °C

Temperature (°F) =?

Recall:

The conversion scale of temperature from °F to °C is given by the following equation:

C = 5/9(F – 32)

Next, we shall make F the subject of the formula. This can be obtained as follow:

C = 5/9(F – 32)

Cross multiply

5(F – 32) = 9C

Divide both side by 5

F – 32 = 9C/5

Rearrange

F = 9C/5 + 32

With the above formula, we can convert 190 °C to °F as follow:

Temperature (°C) = 190 °C

Temperature (°F) =?

F = 9C/5 + 32

F = 9 × 190/5 + 32

F = 1710/5 + 32

F = 342 + 32

F = 374 °F

Therefore, Teo will set the oven to 374 °F

Answer:

2y+1=0

Step-by-step explanation:

a number one greater than y is y+1

so sum of y and y+1= 2y+1

Answer:

2y+1=0

Step-by-step explanation:

a number one greater than y is y+1

so sum of y and y+1=2y+1

hope its helpful

Answer:

S(C(x)) = –0.14x2 + 140; $108.50

Step-by-step explanation:

did the assignment

Answer:

S(C(x)) = -0.14x2 + 140, $108.50

Answer: f(x)= 2x+3

Step-by-step explanation: f(x)=(x-1)2+5

2x-2+5

F(x)=2x+3

Answer:

1/48 or 0.02083 in decimal form

Step-by-step explanation:

Answer:

1/48

Step-by-step explanation:

1*1=1

6*8=48

Answer:

1. r+s²=49

2. pq²=24

3. -4xy-6x²+2x²y-6y= -54

Step-by-step explanation:

1. r+s²=0+7²=49

2. pq²=(6)(2)²=6(4)=24

3. -4xy-6x²+2x²y-6y= -4(3)(2)-6(3)²+2(3)²(2)-6(2)

                                = -24-6(9)+2(9)(2)-12

                                = -24-54+36-12

                                = -78+36-12

                                = -42-12

                                = -54

Answer:

The bird would have to fly up 685.8 feet up.

Step-by-step explanation

If we are talking about how much the bird wants to fly up to the nest, then it would be 685.8 ft up.

first,

you take the fractions which are (-51 3/10) and (737 1/10)

Then we make them decimals to be easier (on my pov) Then we have

-51.3 and +737.1

Next we add 737.1+(-51.3)

which equals 685.8 feet.

Answer:  see attachment

Step-by-step explanation:

Answer:

210 degrees

Step-by-step explanation:

-150 + 360 = 210

The angle between 0° and 360° is 210°

In plane geometry a figure is formed by "two ray or lines and that shares same point is called an angle".

Co terminal are angles in "standard position (angles with initial side along the positive x-axis) they have common terminal side".

According to the question,

The co terminal angle is 150°. The plane is formed by angle between 0° and 360°. In order to find angle is 150° + 360° = 210°.

Hence, the angle between 0° and 360° is 210°.

Learn more about angle here

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Answer:

Option C.

Step-by-step explanation:

It is given that Stella rewrites −212+3.7 as 3.7−212.

We need to find which property did she use.

According to commutative property of addition,

[tex]A+B=B+A[/tex]

Where, A and B are any real values.

In the given expression −212+3.7, A=-212 and B=3.7.

Using commutative property of addition, we get

[tex](-212)+3.7=3.7+(-212)[/tex]

[tex](-212)+3.7=3.7-212[/tex]

So, she used commutative property.

Therefore, the correct option is C.

Answer:

[tex](\frac{3}{2} , -\frac{5}{4})[/tex]

Answer: They intersect at [tex](\frac{3}{2},-\frac{5}{4} )[/tex]

Step-by-step explanation:

x-2y = 4  

7x  + 2y = 8  

We will solve the equations using the substitution method so we will solve for y in one of the equations and  and substitute it into the other equation to solve for x.

x - 2y = 4  

-x         -x

-2y = 4 - 1x      Divide both sides by -2

y = 1/2 x - 2      Now use substitution

7x + 2( 1/2x -2) = 8  

7x + 1x - 4 = 8  

  8x -4 = 8

       +4   +4

8x = 12

x =  12/8   and simplifies to   3/2  

the value of x is 3/2  so plot it into one  of the equations and solve for y.  

7(3/2) + 2y = 8  

21/2  + 2y = 8

-21/2            -21/2

2y = -5/2  

y = -5/4

Answer:$10.50

Step-by-step explanation:

Let t = cost per pound of turkey

Let h = cost per pound of ham

4t + 2h = 30

t = h - 1.5

substitute h-1.5 in place of t in 1st equation

4(h-1.5) + 2h = 30

4h - 6 + 2h = 30

6h - 6 = 30

6h = 36

h = 6

t = h-1.5 = 4.5

1 pound of turkey costs $4.50

1 pound of ham costs    $6.00

                                ----------

cost of 1 pound each  $10.50

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

So we have:

[tex]-10x+6(x-5)=12x-62[/tex]

Distribute:

[tex]-10x+6x-30=12x-62[/tex]

Combine like terms:

[tex]-4x-30=12x-62[/tex]

Subtract 12x from both sides:

[tex]-16x-30=-62[/tex]

Add 30 to both sides:

[tex]-16x=-32[/tex]

Divide both sides by -16:

[tex]x=2[/tex]

And that's our answer :)

Answer: x=2

Step-by-step explanation:

first you distribute -10x+6x-30=12x-62

then combine all like terms -16x=-32

then divide -16x/-16=-32/-16

answer x=2

Answer:

7m and m = 8

7(8) = 56 one solution and that solution is 56

Step-by-step explanation:

Answer:

Hey there!

There is only one solution.

7(8)=56. It cannot be anything else.

Let me know if this helps :)

|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

Answer:

x = 21

Step-by-step explanation:

Vertical angles are congruent, this

3x - 30 = 2x - 9 ( subtract 2x from both sides )

x - 30 = - 9 ( add 30 to both sides )

x = 21

Answer:

I think it might be $7.52

Answer:

the area of its base​=12 cm²

Step-by-step explanation:

volume=base*height

9.6=b*0.8

base=9.6/0.8=12 cm²

Answer:

A number line

Step-by-step explanation:

Answer: the answer is B

Step-by-step explanation:

3.2•10= 32

6.4•10=64

32+64= 96

9.6•10=96

Hope this helps

Answer:

(3x - 5) (x + 3)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant:

3 x -15 = -45

Find two factors of -45 that equals 4:

-5 + 9 = 4

Rewrite the polynomial splitting 4 using -5 and 9:

3x2 - 5x + 9x - 15

Add up the first 2 terms, pulling out like factors:

x • (3x-5)

Add up the last 2 terms, pulling out common factors:

3 • (3x-5)

Add everything up:

Answer

(x+3) (3x-5)