Which of the following pairs of functions are inverses of each other?

Answer:

Step-by-step explanation:

4000*1/10= $400

Answer:

1260.04

Step-by-step explanation:

The formula for compound interest is:

A = P(1+[tex]\frac{r}{n}[/tex][tex])^{nt}[/tex] where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.

Applying the formula to question:

800(1+[tex]\frac{2.88}{100}[/tex][tex])^{16}[/tex] = 1260.04 (rounded off to nearest cent since it's money)

Answer:

x = 120

Step-by-step explanation:

Let's draw an imaginary dot in the middle of that line which runs between those two parallel lines, and now lets look at it as an angle.

This lines' angle is 180 degrees. Now lets move those two parallel lines together on the imaginary dot in the middle.

We can see that on the left side is one degree and the other side is another, however when we put them together we get the angle measurement of the our line which we identified was 180.

Now that we can see that our two angles must equal 180 when put together we know and can say that:

40 + (x + 20) = 180

So, lets work this out like basic algebra now.

40 + x + 20 = 180

       x + 60 = 180

           - 60   - 60

               x = 120

And voila we have our x value.

Hope this helps :)

Answer:

The answer is "[tex]\frac{\pi a^3}{9}[/tex]".

Step-by-step explanation:

please find the complete question in the attached file.

Let the sphere center be (0,0,0) and then let the intersection diameter lie all along the z-axis.  

So one of the collision plans is the xz-plane the other is the path via an xz-plane angle.

[tex]\theta = \frac{\pi}{6}[/tex]

All appropriate region could then be indicated in spherical coordinates

[tex]E= {(\rho, \theta, \phi) : 0 \geq \rho \geq a, 0 \geq \theta \geq \frac{\pi}{6}, 0 \geq \phi \geq \pi }[/tex]

Calculating the volume:

[tex]\to v(E)=\int \int_{E} \int dV\\[/tex]

            [tex]=\int_{0}^{\frac{\pi}{6}} \int_{0}^{\pi} \int_{0}^{a} \rho^2 \sin \phi d \rho d \phi d \theta\\\\ =\int_{0}^{\frac{\pi}{6}} d \theta \int_{0}^{\pi} \sin \phi d \int_{0}^{a} \rho^2 d \rho\\\\= [\theta]^{\frac{\pi}{6}}_{0} [-\cos \phi]^{\pi}_{0} [\frac{\rho^3}{3}]^{a}_{0}\\\\= \frac{\pi}{6} [1+1] \frac{a^3}{3}\\\\=\frac{\pi a^3}{9}[/tex]

Answer:9

Step-by-step explanation: im not really sure I kinda just guess and check, so like, 2/3 times 3 is 6/3 which is 2. so 6/2 is 3. 3 times 3 is nine.

Step-by-step explanation:

you have to know how many inches make a foot or vice versa the you do simple proportion by equating the inches to the foot to get the answer. simple as abc

Answer:

The system of equations has one solution at (-4, 4).

Step-by-step explanation:

We are given the system of equations:

[tex]\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.[/tex]

We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.

[tex]-5\times(x+2y=4) \rightarrow -5x - 10y = -20[/tex]

Therefore, our system now becomes:

[tex]\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.[/tex]

Now, we can add these two equations together and solve for y.

[tex]\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4[/tex]

Now, we can substitute our value for y into one of the equations and solve for x.

[tex]x+2(4)=4\\\\x + 8 = 4\\\\x = -4[/tex]

Therefore, our final solution is (-4, 4).

Answer:

The solutions are not viable because the amount of the sale cannot be negative

Step-by-step explanation:

We are told that;

Let A be the amount of the sale in dollars and C be the charge of the online auction

This means that both values of A and B should be non-negative integers.

Now, we are also told that An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale.

We can conclude that the solution is not viable because the amount of sale of -1.1 cannot be negative.

Given:

Cost function, C(x) and revenue function, R(x) are

[tex]C(x)=150x+30000[/tex]

[tex]R(x)=400x[/tex]

To find:

The break-even point.

Solution:

We know that, at break-even point the cost is equal to revenue.

Equate cost function and revenue function to get the break-even point.

[tex]C(x)=R(x)[/tex]

[tex]150x+30000=400x[/tex]

[tex]30000=400x-150x[/tex]

[tex]30000=250x[/tex]

Divide both sides by 250.

[tex]\dfrac{30000}{250}=x[/tex]

[tex]120=x[/tex]

Put x=120 in R(x).

[tex]R(120)=400(120)[/tex]

[tex]R(120)=48000[/tex]

It means, the revenue and cost are equal, i.e., 48000 at x=120.

Therefore, the break even point is x=120.

120 units of products are required to break even.

Revenue is the amount of money that can be made from selling a particular number of items while cost is the amount of money used to produce those items.

At breakeven point, revenue and cost are the same,

Let x represent the number of units produced. hence at break even:

Revenue = cost

R(x) = C(x)

400x = 150x + 30000

250x = 30000

x = 120 units

Therefore 120 units of products are required to break even.

Find out more at: https://brainly.com/question/15356272

Answer:

Box 1= 1

Box 2 =-8

Box 3= -2

Step-by-step explanation:

Plug in the numbers that are provided where you see x

-3(x) +8    x=3

Answer:

90%

Step-by-step explanation:

Step 1:

72/80 = x /100         Proportion

Step 2:

80x = 7200        Multiply

Step 3:

x = 7200 ÷ 80       Divide

Answer:

90%

Hope This Helps :)

Answer:

Sharon bought a necklace with 90% blue beads.

Step-by-step explanation:

We are given that Sharon's necklace has 80 beads. We are also given that of those 80 beads, 72 of them are blue.

Therefore, we can set up a ratio of blue beads to total beads in order to find out the relationship.

[tex]\displaystyle \frac{72}{80}=\frac{36}{40}=\frac{18}{20}=\frac{9}{10}[/tex]

Then, using the fraction we receive as a result, we can convert this to a decimal.

[tex]\displaystyle \frac{9}{10} = 0.9[/tex]

After we complete this calculation, we can multiply our decimal by 100 in order to obtain the relationship in percentage form.

[tex]0.9 \times 100 = 90\%[/tex]

Of the 80 beads, 90% were blue beads.

Answer:

2.35 miles

Step-by-step explanation:

Answer:

= 117/58

Step-by-step explanation:

First of all 1*1 = 1 because a number multiplied by 1 is always itself. We then have to divide 1 by 58 is 0.017  and that +26 is equal to 26.017. Lastly, we have our answer 26.017 or if you wanted it as a fraction 26 1/58!

Answer:

Negative

Step-by-step explanation:

the slope in this equation is negetive as it is pointing in a downwards position.

Zero would be horizontal, undefined would be vertical and positive would be going in an upwards motion

Answer:

b

Step-by-step explanation:

aye

Answer:

7 goals

Step-by-step explanation:

Jimmy scored 49 goals, and Tommy scored 7 times fewer than he did. We now know that an unknown number multiplied by 7 equals 49. This can be represented in an equation:

49/7 = x

x represents the amount of goals Tommy scored. Let's solve our equation to find the answer:

49/7 = 7

7 = x

Tommy scored 7 goals.

I hope this helps :)

Answer:

X-(-5) = 10

x+5=10

x=10-5

x=5

X-(-5) = 10

-negative sign and -negative sign= +positive sign

X+5=10

move +5 to other side to get X by itself

sign changes from +5 to -5

X+5-5=10-5

X=10-5

X=5

answer: X=5

Answer:360 ft and question 3 isn’t fully listed

Step-by-step explanation:it’s 100 yards and 10 in each end zone so 120x3=360

Answer:

(5, 8)

Step-by-step explanation:

Convert the f(x) = to a y =

f(x) = | x - 6 | + 7

y = | x - 6 | + 7

Plug in the values and prove

y = | x - 6 | + 7

(5,8)

8 = | 5 - 6 | + 7

8 = | -1 | + 7

8 = 1 + 7

8 = 8; true

(8,10)

10 = | 8 - 6 | + 7

10 = | 2 | + 7

10 = 2 + 7

10 = 9; false

(6, 9)

9 = | 6 - 6 | + 7

9 = | 0 | + 7

9 = 0 + 7

9 = 7; false

(3, 11)

11 = | 3 - 6 | + 7

11 = | -3 | + 7

11 = 3 + 7

11 = 10; false

(4, 12)

12 = | 4 - 6 | + 7

12 = | -2 | + 7

12 = 2 + 7

12 = 9; false

Therefore the only one which falls on the graph is (5, 8)

Hope this helps :)

Answer:

since your in pre-k bud x+y+z = abc :)

Step-by-step explanation:the alphabet ends in xyz so it only makes sense for the answer to be abc

this is totally correct:)

Answer:

x=33

Step-by-step explanation:

subtract 17 from both sides, and then you are left with x=33

Answer:

-1 5/8

Step-by-step explanation:

Let the total amount in the bowl be x;

If on Day 1, the volume of water in the bowl decreases by 7/8 cup, the remaining water will be;

x - 7/8

If on day 2, the volume in the bowl decreases by 3/4 cup, the remaining volume of water after the second day will be;

= x - 7/8 - 3/4

= x - (7-2(3))/8

= x - (7+6)/8

= x - 13/8

This shows that the total change after the two days is -13/8

As a mixed fraction;

-13/8 = -1 5/8

Answer:

0.015625

Step-by-step explanation:

Answer:

4^-3 or 0.016 or 1/64

Step-by-step explanation:

4^4 = 256

4^7 = 16,384

256 ÷ 16384 = 0.015625 = 0.016

Or when dividing exponents you subtract the exponent values

4 - 7 = -3

4^-3 = 1/64 = 0.015625

Answer:

Step-by-step explanation:

Answer:%-0.175

Step-by-step explanation: subtract 17.5 percent - 35 percent

Answer:

Yes, it is possible. We already know that complex roots exist in conjugate pair but the case is true only when the equation has real coefficients. But on the other hand, if the equation has complex coefficients, then it is possible to attain one real and one complex root.

Answer:

Phrase:they are small groups standing together as a conceptual unit

Clause:it is a unit of grammatical organization next below the sentence in rank

Sentence: it is a set of words that is complete in itself