Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 17 years?

Answer:

Yes

Step-by-step explanation:

The inputs in a function should have only one output. In other words, each x value should only be assigned to one y value.

For example, (−2, −1),(1, 0),(1, 5),(2, 0) would not be a function because x value 1 is assigned to both number 0 and number 5.

In (1, 1)(2, 2)(3, 3)(4,4), non of the X values repeat themselves, so it IS a function.

Answer:

15 552 in³

Step-by-step explanation:

Since cubes have the same side lengths all around, to find the volume, you need to have one side length and cube it.

Cube 1 : 24³ = 24 x 24 x 24 = 13 824 in³

Cube 2 : 12³ = 12 x 12 x 12 = 1 728 in³

Now, to find the total, just add the volumes.

13 824 + 1 728 = 15 552 in³

The total volume of the cubes is V = 15,552 cubic inches

The formula of volume of the cube is given by:

Volume of Cube = a x a x a

Volume of Cube = a³

where a is the length of its sides or edges

Given data ,

The volume of the first cube with side length of 24 inches is given by:

V1 = (24 inches)³ = 13,824 cubic inches

The volume of the second cube with side length of 12 inches is given by:

V2 = (12 inches)³ = 1,728 cubic inches

The total volume of the two cubes is the sum of their volumes:

Total volume = V1 + V2 = 13,824 + 1,728 = 15,552 cubic inches

Hence , the total volume of the cubes is 15,552 cubic inches

To learn more about volume of cube click :

https://brainly.com/question/27770332

#SPJ3

Step-by-step explanation:

Answer:

B. Triangles A and C

Step-by-step explanation:

Let's find the missing angle of all Triangles:

Triangle A: 180-110-30=40°

Triangle B: 180-30-45=105°

Triangle C: 180-110-40=30°

All triangle angles in numerical order:

ΔA: 30, 40, 110

ΔB: 30, 45, 105

ΔC: 30, 40, 110

We see that only ΔA and ΔC are congruent with the same angle sizes.

Answer:

28 students total.

Step-by-step explanation:

Let's use a ratio:

boys : girls

 4     :   3

 16    :   12

To find the total, we need to add 16 and 12 which equals 28

Answer:

28 students

Step-by-step explanation:

If 4/7 of the students are boys,

then 1- 4/7 = girls

7/7 -4/7 = 3/7

total students *3/7 = girls

total students * 3/7 = 12

Multiply each side by 7/3

total students * 3/7 *7/3 = 12*7/3

total students = 28

Answer:

what chart

Step-by-step explanation:

Answer:

Step-by-step explanation:

Serena walks 4 km in 1 h.

That means:

1) She walks 4 km per hour.

2) She spends 1/4 = 0.25 hour per mile.

Have a good day.

We can write this as:

4 kilometers/1 hour

The unit rate is already simplified so there is nothing else to do.

Answer: 4km/1hr

Best of Luck!

Answer:

x = 2.5y

Step-by-step explanation:

If a cow can give 5 gallons of milk after eating 2 pounds of grass.

Let's consider 'x' is the number of pounds of grass it eats and 'y' is the number of gallons of milk the cow gives.

Hence,

5y = 2x

We will simplify it to get what x equal to y by dividing 2 on both side we find,

x = 2.5y

x is equal to 2.5 y

By eating 1 pound of grass cow can give 2.5 gallons of milk.

Answer:

26xy

Step-by-step explanation:

#THANKMELATER

Answer:

No solution

Step-by-step explanation:

Let's solve this system using elimination through addition/subtraction.  Multiply the second equation by (1/2), which results in the system

y - 4x = 5

4x - y = 8

--------------

0x + 0y = 13.  This is NEVER true.  This system of equation has NO  SOLUTION.

Answer:

1. In & Out, Jeremiah's Ice cream, and Costco

2. Circus Peanuts, at a local grocer (Publix, Winn-Dixie)

3. Irrationally

Step-by-step explanation:

Answer:

14.135

Step-by-step explanation:

6 divided by 2 (half) = 3, π·32≈28.27433 dived by 2 (half) equals 14.135

Answer:

14.13 units ^2

Step-by-step explanation:

A= 3.14 (3)^2 (area of a circle)

A= 28.26 / 2 (divide to find half of the circle)

A=14.13 units ^2

Answer:

Volume = 680 ft³

Step-by-step explanation:

Given

Floor Area = 85 ft²

Height = 8 ft

Required

Volume of the Kitchen

To solve this, it'll be assumed that Tony's kitchen has a regular shape.

Having said that, the volume of Tony's kitchen is calculated as thus.

Volume = Floor Area * Height.

Substitute the values of floor area and height

Volume = 85ft² * 8ft

Volume = 680 ft³

Hence, the volume of Tony's kitchen is 680ft³

i’m with the gàng, I’m with the fleet >:)

Answer:

12 inches is a foot * ;)

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

First you need to put those numbers in order from least to greatest

second go from each side and count till you get to the middle 17 and 18

third add 17 + 18 = 35

fourth divid by 2 35/2 = 17.5

Hope this helps

Answer:

x = 6

Step-by-step explanation:

An inverse variation is

xy = k where k is the constant of variation

8*9 = k

72 = k

xy = k

Let y = 12

x*12 = 72

Divide each side by 12

12x/12 =72/12

x = 6

Answer:

see below

Step-by-step explanation:

Experimental means what actually happened

P(odd) = (number of 1 + number of 3 + number of 5) / total

           = (10+8+8) / 50

           = 26/50

           = 13/25 = 52%

Theoretical means  what we expect to happen

P (odd) = (number of 1 + number of 3 + number of 5) / total

             =(1+1+1)/6

             =1/2 = 50%

We rolled an odd just a little more than the expected amount of times

Answer:

yes

Step-by-step explanation:

Answer: 7/24

Step-by-step explanation: Think of the 2 as 2/1.

When dividing by a fraction, we can simply change, we can simply change the multiplication sig to division and take the reciprocal of the second fraction or flip the second fraction.

So our problem can be rewritten as [tex](\frac{7}{12})[/tex] [tex]x[/tex] [tex](\frac{1}{2})[/tex].

Now multiplying across the top and bottom we get 7/24.

Answer:

7/24

Step-by-step explanation:

the guy was right! (also khan said so)

Answer:is 55

Step-by-step explanation:

135-25=2x

110/2=55

Answer:

x = 55

Step-by-step explanation:

First you start with your equation, which is: [tex]135=2x+25[/tex]

Subtract 25 from both sides. Once you do that, you get: [tex]110=2x[/tex]

Then after that, you divide both sides by 2. Then you get your answer, which is: [tex]x=55[/tex]

✌Hope I helped ya✌

Answer:

Step-by-step explanation:

The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe

is 5.75 inches

Determine the volume of metal used to build the pipe.

Answer: 13/250 or 0.052

Step-by-step explanation:

4.16 (1/100000)/ 8 (10^-4)

Then keep doing order of operations and dividing down.

Answer:

5.2*10^-2

Step-by-step explanation:

Answer:

A =  108 units^2

Step-by-step explanation:

A = (1/2)(1 + 8)(24)

A = (1/2)(9)(24)

A = (9)(12)

A = 108

Answer:

108

Step-by-step explanation:

If it's a whole rectangle, the are would be 192

The piece that's missing is a right triangle.

The area of the right triangle = 1/2 base x height = (1/2)(7)(24) = 84

A = 192 - 84

A = 108

Answer:

~235.8

Step-by-step explanation:

200^2 +125^2= distance traveled^2

55625= distance traveled^2

235.849528301

Answer:

About 2.569 seconds

Step-by-step explanation:

To solve this problem, you can separate it into two half parabolas. The beginning part is initial upward rising. To calculate the amount of time that this part of the dive takes, you can use the formula [tex]v_f=v_o+at[/tex], where [tex]v_f[/tex] is the final velocity, [tex]v_o[/tex] is the initial velocity, a is the acceleration due to gravity, and t is the amount of time it takes. You know that the final velocity is 0, since the diver is reaching the terminal of their dive. Therefore, you can set up the following equation (assuming that the acceleration due to gravity is 32ft/s^2):

[tex]0=5+(-32)t[/tex]

[tex]t=5/32[/tex] seconds

To find the height that this indicates the diver has risen, you can plug this time into the following formula: [tex]d=v_o t+\frac{1}{2}at^2[/tex]

[tex]d=5(5/32)+\frac{1}{2}\cdot 32\cdot (5/32)^2\approx 1.172[/tex] feet

For the second part, you can use the equation [tex]d=v_o t+\frac{1}{2}at^2[/tex] again. Since the initial velocity for this part is 0, you can set up the following equation:

[tex]92+1.172=\frac{1}{2}\cdot 32 \cdot t^2[/tex]

[tex]t \approx 2.413[/tex]

Adding this to the time that the first part of the dive takes, you get a total of about 2.569 seconds. Hope this helps!

if you could show us the picture then maybe i can help you

Answer:

3√7

Step-by-step explanation:

√63

√3x21

√3x3x7

3√7

Answer:

Step-by-step explanation:

0 is whole number and 1 is natural number they both end in infinity. So there is only 0 in whole number but not in natural number.thats why every natural number is whole number

Natural numbers are the counting

numbers and they are always positive.

The set of natural numbers begin at 1 and go on indefinitely.

The natural numbers look like {1, 2, 3, 4, 5, ...}.

When we include 0 in the set of natural numbers, the new set,

{0, 1, 2, 3, 4, ...} is called the set of whole numbers.

Notice that all natural numbers are

included within the set of whole numbers.

We can represent the relationship between these

two sets of numbers using a diagram.

The bigger circle below represents the set of whole numbers

and all natural numbers will appear within the set of whole numbers.

In summary, natural numbers are the same as whole numbers except for the fact that whole numbers include 0.

Answer: Mean of the sample proportion = 74.4

Standard deviation of the samnple proportion is 5.32.

Step-by-step explanation:

Given : A random sample of 120 is taken from a population of 10000.

Let n = 120

Also, from previous survey, it is believed that 62% of the population has an Instagram account.

i.e, population proportion : p = 0.62

Now , the mean of the sample proportin would be :

[tex]\text{Mean}=\mu_{\hat{p}}=np\\\\=120\times0.62=74.4[/tex]

i.e. Mean of the sample proportion = 74.4

The standard deviation of the samnple proportion would be :

[tex]\text{standard deviation}=\sigma_{\hat{p}}=\sqrt{np(1-p)}\\\\=\sqrt{120(0.62)(1-0.62)}\\\\=\sqrt{28.272}\\\\=5.31714208951\approx5.32[/tex]

Thus , the standard deviation of the samnple proportion is 5.32.

Answer:

12,14 .........................

Answer:

D

Step-by-step explanation:

[tex]2x^2+2x+12=3x^2-x+2\\2x+12=x^2-x+2\\x^2-3x-10=0\\(x-5)(x+2)=0\\x=5, -2[/tex]

The correct answer is choice D. Hope this helps!

Answer:

{-5, 2}

Step-by-step explanation:

  [tex]2x^{2} + 2x + 12 = 3x^{2} -x + 2[/tex]    move everything to the right side

[tex]-2x^{2} -2x-12=-2x^{2} -2x-12[/tex]  add line 1 and 2 to get the below equation

                      [tex]0 = x^{2} -3x -10[/tex]   find multiples of -10 that add to give you -3

                                                    to get -10 we have to have (+)(-)

                                                           {-5, 2}

Answer:

2. The correct option is;

D. 112

3. The predicted number of cellular subscription per 100 people in Australia in 2030 is 217 subscriptions

4. The equation of the quadratic regression curve is y = x² - 6×x + 4.1

5. The closest option is;

C. 4191

Step-by-step explanation:

2. The equation for the number of customers in a store is presented as follows;

y = -8.74·x² + 50.57·x + 39.02

Where:

x = Number of hours after opening

∴ When x = 3 hours

y = -8.74×3² + 50.57×3 + 39.02 = 112.07 ≈ 112 people

The correct option is D. 112

3. The expression of the regression equation is presented as follows

y = -0.107·x² + 9.008·x +28.851

Where:

x = Number of years since 1990, hence

When x = 2030 - 1990 = 40 Years

Hence, the predicted number of cellular subscriptions per  people in 2030 is presented as follows;

y = -0.107×40² + 9.008×40 +28.851 = 217.971 Subscribers

To round down to the nearest whole number as y = 217 subscribers

4. The general form of a quadratic equation is presented as follows;

y = a·x² + b·x + c

When x = 0, y = 4.1, therefore;

4.1 =  a×0² + b×0 + c = c

∴ c = 4.1

When x = 1, y = -0.9, therefore;

-0.9 =  a×(1)² + b×1 + c = c

-0.9 =  a + b + 4.1

∴ a + b = -0.9 - 4.1 = -5.0

When x = 2, y = -3.9, therefore;

-3.9 =  a×(2)² + b×2 + c = c

-3.9 =  4·a + 2·b + 4.1

∴ 4·a + 2·b = -3.9 - 4.1 = -8.0

Thus we have two equations;

a + b = -5.0..................(1) and

4·a + 2·b = -8.0 ..........(2)

Multiply equation (1) by 2 and subtract it from equation (2), we have

4·a + 2·b - 2×(a + b) = *8.0 - (2 ×-5.0)

∴ 2·a = 2

a = 1

From equation (1,)  we have;

a + b = -5.0..................(1)

Therefore, where a = 1 we have, 1 + b = -5.0

Hence, b = -5.0  - 1 = -6.0

Therefore, the equation of the quadratic regression curve is presented as follows;

y = x² - 6×x + 4.1

5. The quadratic regression equation is found as follows;

The general form of a quadratic equation is presented as follows;

y = a·x² + b·x + c

When x = 55, y = 3650, therefore;

3650=  a×55² + b×55+ c................(1)

When x = 65, y = 4569, therefore;

4569=  a×65² + b×65+ c ...........(2)

When x = 75, y = 6147, therefore;

6147=  a×75² + b×75+ c............(3)

Solving the system of equation;

3650=  a×55² + b×55+ c................(1)

4569=  a×65² + b×65+ c ...........(2)

6147=  a×75² + b×75+ c............(3)

Subtracting equation (1) from (2), we obtain;

4569 - 3650 =  a×65² + b×65 + c - (a×55² + b×55 + c)

919 = 1200·a + 10·b...........(4)

Subtracting equation (2) from (3), we obtain;

6147 - 4569 =  a×75² + b×75 + c - (a×65² + b×65+ c)

Which gives;

1578 = 1400·a + 10·b...........(5)

Subtracting equation (4) from equation (3), we obtain;

1578 - 919 = 1400·a + 10·b - (1200·a + 10·b)

659 = 200·a

a = 659/200= 3.295

Substituting the value of a in equation (4), we have;

919 = 1200×3.295 + 10·b = 3954 + 10·b

∴ 10·b = 919 -3954 = -3035

b = -3035/10 = -303.5

Substituting the value of a and b in equation (1), we have;

3650 =  (3.295)×55² + (-303.5)×55+ c

3650 = -6725.125 + c

∴ c = 3650 - (- 6725.125)= 10375.125

Therefore, the quadratic regression equation is presented as follows;

y = 3.295·x - 303.5·b +10375.125

Hence, in 1961, x = 1961 - 1900 = 61, we have

y = 3.295×61² - 303.5×61 10375.125= 4122.32

Therefore, the closest option is C. 4191.

Answer:

Step-by-step explanation: I took the test and here are the answers