Paul opens a savings account with $350. He saves $150 per month. Assume that he does not withdraw money or make any additional deposits
a. write a linear model that represents the total amount of money Paul deposits in his account after m months

b after how many months will Paul have more than 2,000?​

Answer:

60 %

Step-by-step explanation:

multiply .90 * 150

Answer:

60%

Step-by-step explanation:

hope this helps <3

Answer:

Step-by-step explanation:

pi x 7 squared = 153.938040026

Answer:

[tex] \frac{39}{y} = \frac{3}{2} \\ y = \frac{39 \times 2}{3} \\ \boxed{y = 26}[/tex]

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3 bouquets of 3$ is 3*3 = 3^2

4 bouquets of 2$ = 2 * 4

Answer:

Step-by-step explanation:

1.80 + 1.05 = 2.85

3.00 - 2.85 = .15 inches

-2 • (4x2from4 + 5x + 1)

Step-by-step explanation: Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

(2): Dot was discarded near "2.".

STEP

1

:

Equation at the end of step 1

((-3x -  (23from4 • x2)) -  7x) -  2

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

 -8x2from4 - 10x - 2  =   -2 • (4x2from4 + 5x + 1)

Trying to factor a multi variable polynomial :

3.2    Factoring    4x2from4 + 5x + 1

Answer:

Can you put a number line in the picture?

Step-by-step explanation:

That would really help

Answer:

I think its C but without the number line a cant tell.

Step-by-step explanation:

Answer:

3000 feets

Step-by-step explanation:

Given that :

Initial Ascent to steady altitude = 35,000 feets

Descent to steady altitude = 32,000 feets

Number of feets the plane descend :

(Initial ascent to steady altitude - descent to steady altitude)

(35000 - 32000) feets = 3,000 feets

Answer: 18 students would like to learn Spanish

Step-by-step explanation:

Answer:

Yes, the three points are collinear.

Step-by-step explanation:

None.

Answer:

Step-by-step explanation:

None of them

Answer:

A. 1,112

Step-by-step explanation:

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by finding the profit per chair:

So,

Profit per chair = Selling price - Production cost

= $55.75 - $16.91

= $38.84

Next, we need to determine how many chairs the manufacturer needs to sell to make a profit of $24,850:

Profit = Profit per chair x Number of chairs sold - Overhead costs

$24,850 = $38.84x - $18,340

$43,190 = $38.84x

x = 1,112.49

Rounding to the nearest whole number, the manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Therefore,

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

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Answer:

x = 2

Step-by-step explanation:

Both equations are equal to y, so they're also equal to each other.  We then set them equal to each other:

x^2 - 2x + 1  =  x^2 + 2x - 7

We now do algebra to isolate x.  Subtract 1 from both sides.

x^2 - 2x  =  x^2 + 2x - 8

Subtract 2x from both sides.

x^2 - 4x  =  x^2 - 8

Subtract x^2 from both sides.

-4x = -8

Divide both sides by -4.

x = 2

Step-by-step explanation:

Hello can you please give the amount of kids first?

Answer:

The correct option is B.

Step-by-step explanation:

Consider the provided information.

The dimensions of bricks are in inches so convert foot into inches.

1 foot = 12 in

4 feet = 48 in

8 feet = 96 in

To calculate the number of bricks that fit into space we divide the space's volume by the volume of 1 brick.

[tex]\text{Number of bricks in space}=\dfrac{12\times 48 \times96}{3\times 4 \times8}[/tex]

[tex]\text{Number of bricks in space}=576[/tex]

Hence, 576 bricks can be fit into a space.

Therefore the correct option is B.

Answer:

Use pythogoras theorem

a^2+b^2=c^2

x^2=c^2-a^2

x^2=15^2-12^2

x^2=81

x= square root of 81

x=9

Step-by-step explanation:

9514 1404 393

Answer:

  7. c(n) = 10 +2(n -1)

  8. c(20) = 48

Step-by-step explanation:

7. Your arithmetic sequence has first term a1=10 and constant difference d=2. The explicit formula for terms of an arithmetic sequence is ...

  an = a1 +d(n -1)

If we use c(n) as the function name for the function giving the number of chairs in row n, then we can fill in the numbers we know to get ...

  c(n) = 10 + 2(n -1)

__

8. Evaluating the function when n=20, we find ...

  c(20) = 10 +2(10-1) = 10 +2·19 = 10 +38

  c(20) = 48

There are 48 chairs in row 20.

Answer:500

Step-by-step explanation:

Answer:

a. f(0) = 4

b. f(6) = 8

Step-by-step explanation:

Let us solve the question

∵ f(x) = x + 4 if x < 5 ⇒ First part

→ That means if x less then 5 we will use this part of f(x)

∵ f(x) = 8 if 5 ≤ x < 7 ⇒ Second part

→ That means if x = 5 or greater than 5 and less than 7, we will use

   this part of f(x)

∵ f(x) = 2x - 1 if 7 ≤ x ≤ 10 ⇒ Third part

→ That means if x equal 7 or greater than 7 and less than 10 or equal 10,

   we will use this part of f(x)

a. The value of f(0)

∵ x = 0

∵ 0 < 5

→ That means we will use the first part of f(x)

∵ f(x) = x + 4

∴ f(0) = 0 + 4

∴ f(0) = 4

b. The value of f(6)

∵ x = 6

∵ 6 is between 5 and 7

→ That means we will use the second part of f(x)

∵ f(x) = 8

→ It means the value of f(x) is 8 for any values of x from 5 to less than 7

∴ f(6) = 8

X × X - X × X × X × X × X + 17= X × X × X + 2

Answer:

1 slope of f is 5

slop of g is 2

2. connor

initial value is 200

rate of change is -10

Pilar

initial value is 242

rate of change is -8

3.

y intercept of f is -3

y intercept of g is -1

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

.

The equation of the line that passes through the point(1, 3) and is perpendicular to the line 2x + 3y = 15 is y = 3 / 2x + 3 / 2.

The line passing through (1, 3) is perpendicular to the equation 2x+3y=15.

Therefore,

y = mx + b

where

Hence,

3y = -2x + 15

y = -2 / 3 x + 5

For line to be perpendicular it must follow the following rules;

m₁m₂ = -1

m₁(-2 / 3) = -1

-2m₁ = -3

m₁ = 3 / 2

Therefore, the equation can be found as follows:

3 = 3 / 2(1) + b

3 = 3 / 2 + b

b = 3 - 3 / 2

b = 6 - 3 / 2

b = 3 / 2

Hence,

y = 3 / 2x + 3 / 2

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Answer:

so what are we trying to figure out?

Step-by-step explanation:

Answer:

i. 10 units (Carol's house is 10 units on the right from Ann's house)

ii. -10 units (Carol's house is 10 units on the left to Ann's house)

Step-by-step explanation:

A number line is a system that can be used to express the location of directed number on a straight line. It has an origin which is taken to be zero (0).

In the given question, Ann's house is located at 0 of the number line. Let 1 block be represented by 1 unit on the number line.

Thus, Ben lives 8 blocks from Ann implies that Ben's house is at 8 units from Ann's house.

Given that Carol's house is 2 blocks from Ben implies that Carol's house is 2 units from Ben.

So that,

The possible locations of Carol's house depends on its position with respect to Ann's house.

i. Carol's house = 8 + 2

                          = 10 units

This implies that Carol's house is 10 units on the right from Ann's house.

ii. Carol's house = - 8 - 2

                           = -10 units

This implies that Carol's house is 10 units on the left to Ann's house.

Answer:

x = 2/5 or 0.4

Step-by-step explanation:

3x - 6 = 4(2 - 3x) - 8x

distribute

3x - 6 = 4*2 - 4*3x - 8

3x - 6 = 8 - 12x - 8

combine like terms

3x - 6 = -12x

add 12x to both sides of the equation

3x - 6 + 12x = -12x + 12x

3x - 6 + 12x = 0

15x - 6 = 0

add 6 to both sides of the equation

15x - 6 + 6 = 0 + 6

15x = 6

divide both sides of the equation by 15

15x/15 = 6/15

x = 6/15

x = 2/5

x = 0.4

Answer:

The answer to the question provided is

[tex] \frac{1}{4} [/tex]

Answer:

f(x)=2x+5

Step-by-step explanation:

If you think about it, 5 is the y intercept, meaning the money he earn that day. While Sunday, he earned more which is the Slope of 2x because its 2 times the number. And you add them together, and there you go.

Answer:

[tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.

Step-by-step explanation:

Part of the bottle fed by the piglet = [tex]\frac{1}{5}[/tex]

Milk left in the bottle = 1 - [tex]\frac{1}{5}[/tex]

                                  = [tex]\frac{5-1}{5}[/tex]

                                  = [tex]\frac{4}{5}[/tex]

Milk drunk by the calf = [tex]\frac{3}{4}[/tex]th of the left part

                                     = [tex]\frac{3}{4}\times \frac{4}{5}[/tex]

                                     = [tex]\frac{3}{5}[/tex]th part of the bottle

Therefore, [tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.