(Easy) What is the next term in the sequence: 2, -2/3, 2/9, -2/27

Part 1) Finding the inverse

Let x = r and y = H(r)

We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01

From here, swap x and y to get the equation x = 6240(1+0.01y)^t

Let's solve for y

x = 6240(1+0.01y)^t

6240(1+0.01y)^t = x

(1+0.01y)^t = x/6240

1+0.01y = (x/6240)^(1/t)

0.01y = (x/6240)^(1/t)-1

100*0.01y = 100*((x/6240)^(1/t)-1)

y = 100*((x/6240)^(1/t)-1)

y = 100*(x/6240)^(1/t) - 100

This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.

We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.

So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.

The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.

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Part 2) Finding the growth rate if the number of households is 7800 after 3 years.

We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)

r(H) = 100*(H/6240)^(1/t) - 100

r(7800) = 100*(7800/6240)^(1/3) - 100

r(7800) = 7.72173450159419

You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72

Since r = 7.72, this means the growth rate is 7.72%

Answer:

B

Step-by-step explanation:

(f – g)(x) = f (x) – g(x)=

[tex]3 {x}^{2} - 4x + 3 \\ - 2 {x}^{2} + 6x + 4 \\ = 5 {x}^{2} - 10x - 1[/tex]

Answer:

i think its -5

Step-by-step explanation:

if you devide 25 by -5 you get -5

Answer: x = -5

Step-by-step explanation:

We can use inverse operations to solve the equation. Because the term "-5x" is multiplication (because you are multiplying x by -5), we can use division to solve the equation.

First, we will divide -5 from 25.

25 ÷ -5 = -5.

Because of this, x = -5!

If we're not sure, we can also check the equation.

-5 x -5 = 25, so the answer is true.

In conclusion, x = -5!

Answer:

r = -1

Step-by-step explanation:

-3(1+6r)=14-r

Distribute the -3

-3*1 -3*6r = 14-r

-3 -18r = 14 -r

Add 18r to each side

-3-18r+18r = 14-r+18r

-3 = 14+17r

Subtract 14 from each side

-3-14 = 14+17t-14

-17 = 17r

Divide by 17

-17/17 = -17r/-17

-1 =r

$2816.80 is the raise

21 is 30% of 70

Answer:

well we don't don't know...because x is unknown

Answer:

There no problem but 5<=x in equation form

Step-by-step explanation:

That way because x can either be five or higher

Answer:

3m + 13 = 31 I hope this helps you!

Answer:

35%of 820

35/100×820

287

...........

Answer:

287

Step-by-step explanation:

100% = 820

35%   = 820 ÷ 100 × 35

         = 287

Answer: 21

Step-by-step explanation: 21.7659574 would be the exact awnser but to estimate you can just say 21

Answer:

It is actually 20.

Step-by-step explanation:

Answer:

5000 N

Step-by-step explanation:

Given:

Mass m = 1000 kg

Acceleration a = 5 m/s^2

Force F =?

By Newton's first law of motion:

F = ma

F = 1000 * 5

F = 5000 N

(N = Newton, unit of force is Newton and is written as N. )

Answer: 25.81

Step-by-step explanation:

We can see its a right triangle and then with Squareroot(21^2 + 15^2) = 25.81

Answer:

P=15

Step-by-step explanation:

Answer:

P=15

Step-by-step explanation:

first:

98-38=60

4p=60

60÷4=15

P=15

hope that helped :)

Answer:

In mathematics, a variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions. In science, there is a independent and dependent variable.

Step-by-step explanation:

Answer:

VARIABLE MEANING: A variable is a letter used to describe an unknown number. A quantity that can change or vary, taking on different values. A letter or symbol representing a varying quantity.

CO EFFICIENT MEANING: A number next a variable behind the letter examples: 4m -3x 6y 5w

EXPRESSION MEANING: An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division.

TERM MEANING: It's either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by divide.

Answer: 24 inches.

Step-by-step explanation:

If each section length is 4 inches, then that means that each person will need to eat a sandwich section that is at least 4 inches.

There are 6 people, which means that each person will eat 4 inches of a sandwich.

To calculate the length of the sandwich Riko should order, we should mutliply 6 by 4, because there are 6 people and each person will be eating 4 inches of a sandwich.

6 x 4 = 24.

In conclusion, the smallest sandwich Riko should order is a sandwich that is 24 inches long.

(Quick Note: This is also the smallest sandwich Riko could order, because the text states that each person eats at least 4 inches.)

Answer:

18

Step-by-step explanation:

Answer:

x= 1

Step-by-step explanation:

2x1=2+3=5

Answer:

x is equals to 1..........

Answer:

ghhhbvhnv

Step-by-step explanation:

kjkjkjjn,nj,jn,jn

Answer:

lol hard!

Step-by-step explanation:

Answer:

-1=n I believe would be the answer.

Answer:

60! hope this helps!

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

It is going down

Answer:

Slope = -5/4.    And y-int = (0,-1)

Step-by-step explanation:

Answer:

5.6023 × 10^-5

Step-by-step explanation:

Let me know if you need an explanation.

Answer:

0.00005602

Step-by-step explanation:

0.00005602

(hope this helps can i plz have brainlist :D hehe)