JJ withdraws $20 from his bank account every week for lunch. Suppose he does not make any additional deposits or withdrawals. What integer represents the change in value of JJ's bank account after nine weeks?

Answer:

Given equation:

Solving for p:

p - any real number

We can state the initial expression is correct for any value of p.

Answer:

True for all p

Step-by-step explanation:

Given equation:

  [tex]\dfrac{3^{p+1}-3^{p}}{2 \times 3^{p}}=1[/tex]

Multiply both sides by [tex]2 \times 3^p[/tex]:

[tex]\implies 3^{p+1}-3^p=2 \times 3^p[/tex]

Add [tex]3^p[/tex] to both sides:

[tex]\implies 3^{p+1}-3^p+3^p=2 \times 3^p+3^p[/tex]

[tex]\implies 3^{p+1}=3 \times 3^p[/tex]

Rewrite 3 as 3¹:

[tex]\implies 3^{p+1}=3^1 \times 3^p[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies 3^{p+1}=3^{1+p}[/tex]

[tex]\implies 3^{p+1}=3^{p+1}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]

[tex]\implies p+1=p+1[/tex]

Subtract 1 from both sides:

[tex]\implies p+1-1=p+1-1[/tex]

[tex]\implies p=p[/tex]

Therefore as both sides are equal, true for all p.

The volume of the cylinder is the amount of fruit juice it can contain.

The relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

The given parameter is:

[tex]\mathbf{V = 0.946}[/tex]

The volume of a cylinder is calculated as:

[tex]\mathbf{V = \pi r^2 h}[/tex]

Make h the subject

[tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]

The surface area (A) of a cylinder is:

[tex]\mathbf{A = \pi r^2 + \pi rh}[/tex]

Substitute [tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]

[tex]\mathbf{A = \pi r^2 + \pi r \times \frac{V}{\pi r^2}}[/tex]

[tex]\mathbf{A = \pi r^2 + \frac{V}{r}}[/tex]

Differentiate

[tex]\mathbf{A' = 2\pi r - Vr^{-2}}[/tex]

Set to 0

[tex]\mathbf{2\pi r - Vr^{-2} = 0}[/tex]

Rewrite as:

[tex]\mathbf{ 2\pi r = Vr^{-2}}[/tex]

Multiply through by r^2

[tex]\mathbf{ 2\pi r^3 = V}[/tex]

Solve for r

[tex]\mathbf{r = \sqrt[3]{\frac{V}{2\pi}}}[/tex]

[tex]\mathbf{A = \pi r^2 + \frac{0.946}{r}}[/tex]

So, we have:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Hence, the relationship between the volume and the surface area is:

[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]

Read more about surface areas and volumes at:

https://brainly.com/question/3628550

Answer:

hence the total cost to plough the trapezium field

is Rs. 893500.50

Step-by-step explanation:

the required answer may be wrong .... but this is the way to do it....

hope this helped you...☺️

comment if any confusion

Answer:

18/29

Step-by-step explanation:

The probability that a student chosen randomly from the class plays basketball or baseball is 18/29

The given parameters are:

The number of students that play basketball or baseball is:

Basketball or Baseball = Students - Neither

This gives

Basketball or Baseball = 29 - 11

Basketball or Baseball = 18

The probabilty is then calculated as:

P = Basketball or Baseball/Students

This gives

P = 18/29

Hence, the probability that a student chosen randomly from the class plays basketball or baseball is 18/29

Read more about probability at:

https://brainly.com/question/251701

Answer:

7 miles per hour

Step-by-step explanation:

3.5 times 2.

Answer: it’s a fraction and it’s 2/5

Step-by-step explanation:

Answer:

-14.4

Step-by-step explanation:

-6x(-0.6)x(-4)= -14.4

[tex] - \frac{6(5 - 2x)}{5x} [/tex]

i hope its help

Answer:

ummm?

Step-by-step explanation:

Answer:

Something

Step-by-step explanation:

I have no idea what u just asked

Answer:

x = 2, y = 1

Step-by-step explanation:

x + 4y = 6 and y = 3 - x have to be rearranged: x + 4y = 6 and x + y = 3

You subtract the equations to eliminate one of the variables (x) so that the other can be found

Answer:

I believe its A

Step-by-step explanation:

Hope it helps

Answer:

[tex]\frac{1}{\sqrt[n]{64}}[/tex]

Step-by-step explanation:

[tex]\frac{1}{\sqrt[1]{64}} =\frac{1}{64}[/tex]

[tex]\frac{1}{\sqrt[2]{64}} =\frac{1}{16}[/tex]

[tex]\frac{1}{\sqrt[3]{64}} =\frac{1}{4}[/tex]

[tex]\frac{1}{\sqrt[4]{64}} =\frac{1}{1}[/tex]

Answer:

-4x-1

Step-by-step explanation:

-4x-1

Answer:

$144

Step-by-step explanation:

Length*Width*Price

12*3 = 36

36*4 = 144

$144

Answer:

y-4=1x-4

Step-by-step explanation:

put in format : y2-y1=m(x2-x1)

y-4 = 1(x-4)

distribute

y-4=1x-4

Answer:

Junior author = $800

Senior author = $1600

Step-by-step explanation:

The check is split between the senior author and junior author in the ratio of 2:1

2:1 = $2400

Add the ratios together:

2 + 1 = 3

3 parts = $2400

Find one part of the total check by dividing both sides by 3:

1 part = $800

Answer:

21.875, round as needed.

Step-by-step explanation:

1.75 * 12.5

21.875

You can also round to:

21.88

21.9

22

Just depends on what your teacher is asking

Answer:

Step-by-step explanation:

2.  Should be 500

8.  Should be 290

The rest are correct

Answer:

1. 100 good job

2. 500 round to the nearest hundred either 400 or 500. 500 is closer.

3. 9,000 good job

4. 7,800 good job

5. 250 good job

6. 4,000 good job

7. 6,800 good job

8. 290 round to the nearest 10 either 290 or 300 290 is closer

9. 400 good job

10. 8,000 good job

Step-by-step explanation:

Rounding to the nearest number is up at 5 and below for 4 and less. The same concept applies to larger numbers.

Step-by-step explanation:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Answer:

slope = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (3, 2) ← points on graph

m = [tex]\frac{2-5}{3-7}[/tex] = [tex]\frac{-3}{-4}[/tex] = [tex]\frac{3}{4}[/tex]

Answer:

Gay Lussac's Law - states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. If you heat a gas you give the molecules more energy so they move faster. This means more impacts on the walls of the container and an increase in the pressure.

Step-by-step explanation: An increase in the number of gas molecules in the same volume container increases pressure. A decrease in container volume increases gas pressure. An increase in temperature of a gas in a rigid container increases the pressure

Answer:

yes I think that temperature makes it hotter or

colder depending on the temperature of it or the surroundings and the pressure I don't honestly don't think it effects them

Answer:

Step-by-step explanation:

Proper application of the property:

Vinay multiplied 5 and 25 as well, which is incorrect.

Correct answer choice is C.

Answer:

there is one line of symmetry if you look closely at the shape

.............................

Answer:

D. 5

Step-by-step explanation:

Ok, so the number is represented by n.

n-(-5)=10.

Negative Times Negative makes Positive. The equation is now:

n+5=10

Subtract 5 from both sides.

n=5

Right answer but i am not conform

x = - 85

y = 52

Answer:

find the difference between the two times by subtracting them;

59.48-56.24= 3.24 seconds

Step-by-step explanation:

Answer:

y=2/3x-1

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

to be honest tho I don't even know

Answer:

It is isosceles triangle because its base angles are equal .

plz mark me brainest

Answer: A. isosceles

Step-by-step explanation:

an isosceles triangle is a triangle that has two sides of equal length.

You can read about isosceles triangle more : https://en.wikipedia.org/wiki/Isosceles_triangle

please give me a brainliest answer

Answer:

I am not sure but this is what I got

Step-by-step explanation:

1/3, 1/4, 2/5are the fractions. when we find the LCM= 60

the fractions become 20/60, 15/60 and 24/60

add all of them we get 59/60

total = 60/60

total -used part of cake = unused part of cake

60/60 - 59/60 = 1/60

hope it helps :) pls check if there are any mistakes

Answer:

23

Step-by-step explanation:

4+3+6+10

4+3 = 7

7 + 6 = 13

13 + 10 = 23

This is super easy, no offense

Answer:

c

Step-by-step explanation:

See the attached graph.  There's no overlap between the two individual solution sets.