30 POINTS John opens a savings account and decides to deposit $10 each month. Let x represent the number of
months that he has been saving, and y, represent the total amount of money saved.
7. What is the algebraic equation for John's saving plan?
8. How much money will John have saved in 14 months? In 6 months? Show your work and
explain.
9. In how many months will John have saved $100? $175? Show your work and explain.
10. What is the rate of change?
11. How does knowing the rate of change help you in answering questions in this problem?
12. Use your equation to complete the table representing John's savings:
# of Months Saving Account Balance ($)
0
1
2
3
4

Answer:

|6x+12|= 12 has 2 solutions --> x = -4 or x = 0

|6x+12|= -1 has No solutions

∣6x+12∣=0 has 1 solution --> x = -2

Explanation:

|6x+12|= 12

- Break |6x+12| = 12 down into two equations -

                                ↓

                       6x + 12 = 12

                       6x + 12 = −12

          - Solve both equations to x -

                       6x + 12 = 12

                       6x + 12 = −12

                                ↓

                            6x = 0

                           6x = −24

                                ↓

                             x = 0

                             x = −4

|6x+12|= -1

The absolute value function is always positive or 0 so false.

∣6x+12∣=0

- Because its 0, we simply just solve the equation -

                              6x + 12 = 0

                                     ↓

                                6x = -12

                                     ↓

                                  x = -2

~That's All Folks~

-Siascon

Answer:

cant tell what ths says

Step-by-step explanation:

Answer:

y=3x +4

Step-by-step explanation:

your y intercept is 4, go 3 down 1 across and that is the slope.

Answer:

the answer is defently 405

Step-by-step explanation:

so you have 400 and 5 and 400+5=405

Answer:

Step-by-step explanation:

Domain means what x's are on this graph, or what x's can you put into this equation. Range means what y's are in this graph or what y's can you get out if this equation. For y=x you can literally put in any x and get out any y, so the domain and range are both all real numbers. I couldn't see the choices on your drop down and there's several ways to write "all real numbers" as an answer. The absolute value graph y=|x| is a V-shaped graph so again, you can put in any x, but you only get positive numbers out (and 0, if you input 0) so the range us just all the y's that are 0 and bigger. That is y>=0. Again, there are several ways to write that such as {y | y>=0} or [0, infinity symbol)

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1}{1-n^2}+\dfrac{2}{2-n^2}\dots \dfrac{n}{1-n^2}\right)[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{1+2+3\dots n}{1-n^2}\right)[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\left(\dfrac{\dfrac{n(n+1)}{2}}{1-n^2}\right)[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n(n+1)}{2(1-n^2)}[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to infty}\dfrac{n(1+n)}{2(1-n)(1+n)}[/tex]

[tex]\\ \sf\Rrightarrow \lim_{n\to \infty}\dfrac{n}{2(1-n)}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{\infty}{2-\infty}[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{-1}{2}[/tex]

[tex]{\sf \lim_{n \to \infty} (\frac{1}{1-n^2}+\frac{2}{1-n^2} +...\: \frac{n}{1-n^2}) } \\ = {\sf \lim_{n \to \infty} (\frac{1 + 2 + ..n}{1-n^2})} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \div 1 - {n}^{2} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2} \times \frac{1}{ 1 - {n}^{2}} )} \\ ={\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2(1 - {n}^{2} )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(n + 1)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n(1 + n)}{2 (1 - n )(1 + n) } )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 (1 - n )} )} \\ = {\sf \lim_{n \to \infty} ( \frac{n}{2 - 2 n } )} \\ = \sf \frac{ \infty }{2 - \infty } \\ = \frac{ - 1}{2}

[/tex]

Answer:

[tex] \frac{ - 1}{2} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

The total cost during a school year to attend a given number of daces is a

linear function of the number of dances attended.

The correct responses are;

Reasons:

The given parameter are;

Admission price per person = $4

The annual fees members pay = $50

A. The function that can be used to determine c is a linear function, with a y-intercept (initial value) of 50 and a rate (slope) of 4

The total cost to attend n dances a year, c = 50 + 4·n

B. If a member attends 15 dances a year, we have;

n = 15

Therefore;

The total cost, c = 50 + 4 × 15 = 110

The total cost for 15 dances a year, c = $110

1. As the number of dances attended increase, the total cost increase, and the cost when no dance is attended by a member during the year is $50.

2. The essential information that can be used to find the solution are;

3. Part A; c = 50 + 4·n

Part B; c = $110

Learn more about linear functions here:

https://brainly.com/question/20478559

Answer:

the correct is 39

Step-by-step explanation:

there is nine number there so the fifth is it and it was in order that helped alot

Answer:

it is 27/16 or 1 11/16

Step-by-step explanation:

Answer: The answer is X∈[3,12).

Answer:

-8≤3x-17<19

-8+8 ≤ 3x - 17 + 8 < 19 + 8

0 ≤  3x - 9 < 27

0 ≤  3x - 9 + 9 < 27 + 9

0 ≤  3x <  36

0 ≤ 3x / 3 <  36/3

0 ≤ x < 12

So x can be 0 or less than 12. A number between 0 and 12

[tex](2x^2+6x-3)+(3x^2-8x-6)\\\\=2x^2+3x^2+6x-8x -6 -3\\\\=5x^2-2x-9[/tex]

Answer:

3x + 1

 ——————

   2x  

Step-by-step explanation:

https://www.tiger-algebra.com/drill/(3x~2-8x-3)/(2x~2-6x)/

it will give you the step by srep explaation

Answer:

1.86

Step-by-step explanation:

Important Info:

13 inches of wire cost = .78

Question to Answer:

How much in cents will 31 inches of wire cost?

Explanation/Solution:

Since, 13 inches of wire cost .78 then Find the Cost of 1 Inches..

To do that we have to Divide..

.78 ÷ 13

=

0.06

So, 1 Inches of Wire Cost 0.06.

Hence, 31 · 0.06

= 1.86

Therefore, 31 Inches of wire cost 1.86.

[ RevyBreeze }

Answer:

I need helpw with this is too

Step-by-step explanation:

The equation you can use to find the amount of money, v, Samir received for each video game is;

4v - 23.65 = 6.35 and v = $7.5

Samir sold 4 oh his old star leaper video games.

If the amount received for each video game is v, the total cost of the 4 video games is; 4v

Thus, this equation is;

4v - 23.65 = 6.35

Solving this gives;

v = $7.5

Read more about algebra word problems at; https://brainly.com/question/21405634

Answer:

13

Step-by-step explanation:

set equations equal to each other and solve for x

6x + 20 = -4x + 150

10x = 130

X = 13

In the given equation, as the value of y increase, the value of x also

increases.

Reasons:

A direct variation is a relationship that exists between two variables. It is

also known as a direct proportion which can be expressed as; y = k·x

Where k is a number

The given equation is 4·y = 16·x

Dividing both sides by 4 gives;

[tex]\displaystyle \frac{4 \cdot y}{4} = \frac{16 \cdot x}{4} = \frac{4 \times 4 \cdot x}{4}[/tex]

Which gives;

y = 4·x

Comparing the above equation with the equation for a direct variation gives;

y = 4·x

y = k·x

Therefore;

k = 4

The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.

Learn more about direct variation here:

https://brainly.com/question/6499629

Answer:

l*b*h is the answer of this question

Answer:

q=4v/x

Step-by-step explanation:

[tex]\dfrac{6+ \sqrt{27}}{4-\sqrt3} \\\\\\=\dfrac{\left(6+\sqrt{27}\right)\left(4+\sqrt 3 \right)}{\left(4-\sqrt 3\right) \left(4+\sqrt 3\right)}\\\\\\=\dfrac{24+6\sqrt 3+4\sqrt{27}+\sqrt{27\cdot 3}}{4^2 - \left(\sqrt 3 \right)^2}\\\\\\=\dfrac{24+6\sqrt3+4\sqrt{9\cdot 3} +\sqrt{81}}{16-3}\\\\\\=\dfrac{24+6\sqrt 3 +12\sqrt 3 + 9 }{13}\\\\\\=\dfrac{33+18\sqrt 3}{13}\\\\\\\text{Hence, r = 33 and s = 18}[/tex]

Answer:

80% of the class picked the pizza

Step-by-step explanation:

In order to find a percentage, you are supposed to divide the amount of how much someone has picked by the total amount (in this case pizza's). Here is how I got 80%,

28/35 = 0.8

0.8*100 = 80

So the answer is 80%

Truck (2 or 3 axles): $3.00

Truck (4 or 5 axles): $6.25

Truck (6 or more axles): $10.00

Day1= 3 trucks with 5 axles and 1 truck with 8 axles passed the bridge

What we need to find:

Part a: an expression that represents the first passing of the 4 trucks and

a solution to the the first expression

Part b: a modification of first expression that includes the return passing of the 4 trucks and a solution for the trucks passing both times.

Part a:

3(6.25)+1(10.00)

3(6.25)+1(10.00)=$28.75

Part b:

2[3(6.25)+1(10.00)]

2[3(6.25)+1(10.00)]=2[28.75]=$57.50

Answer:

i think x = -4, y = 5

Step-by-step explanation:

x = 16 - 4y

3x + 4y = 8

3(16 - 4y)+4y = 8

48-12y+4y = 8

48-8y = 8

48-8 = 8y

40 = 8y

5 = y

so

x = 16 - 4y

x = 16 - 4(5)

x = 16 - 20

x = -4

Answer:B

Step-by-step explanation:

This is because -3 is going to multiple numbers, which cannot happen in a function.

Answer:

120 cm^3

Step-by-step explanation:

1. 9 times 5 =45

2. 45 divided by 3 = 15

3. 15 times 8 = 120

Answer:

2a7-1

Step-by-step explanation: