Sophia currently has an account balance of $1,347.11. her initial deposit on the account was $843 and earns 2.3% simple interest. how long has Sophia held the account?

Answer:

2x² + 9x + 9

Step-by-step explanation:

To evaluate f(x + 3) substitute x = x + 3 into f(x), that is

f(x + 3) = 2(x + 3)² - 3(x + 3) ← expand (x + 3)² using FOIL

            = 2(x² + 6x + 9) - 3(x + 3) ← distribute both parenthesis

           = 2x² + 12x + 18 - 3x - 9 ← collect like terms

            = 2x² + 9x + 9

Answer:

One

Step-by-step explanation:

7x+3x= - 46

10x= - 46

x= - 4.6

one answer

Answer:

1. obtuse

2. straight

3. acute

4. 62°

5. 72° ( I think, I'm not too sure on this one)

Answer:

78 degrees

Step-by-step explanation:

Assuming you are talking about a triangle, you would add 28 and 74 to get 102. Then subtract from 180.

28+74=102

180-102=78

Hope this helps :-)

Answer:

Assuming these are angles of a triangle, angel F should equal 78.

Step-by-step explanation:

All angles of any triangle add up to 180 degrees. 180-28-74=78.

Answer:

4

Step-by-step explanation:

3/.75=4

Answer:

4

Step-by-step explanation:

48/16 equals to 3. 18/24 equals to 3/4 or 0.75. 3 divided by 0.75 equals to 4

Answer:

Step-by-step explanation:

Given the numbers 37.5%, 1/3, 0.3, 40%, 3/5, before we can order the numbers from the least to greatest, we need to first express al the values in percentage.

For 1/3;

= 1/3 * 100

=  100/3

= 33.3%

For 0.3:

= 0.3 * 100

= 3/10*100

= 30%

for 3/5;

= 3/5 * 100

= 300/5

= 60%

Hence the numbers in percentage are . 37.5%, 33.3%, 30%, 40%, 60%

The values from the least to the greatest in terms of percentage is 30%, 33.3%, 37.5%, 40%, 60%

In term of the given values from least to greatest is;

0.3, 1/3, 37.5%, 40%, 3/5

Hi

7 = 14.70

15= X

so :  X =  15*14.70 /7 = 31.5

15 liters  of petrol cost  31.5

The cost of 15 liters of petrol if 7 liters cost $14.70 is $31.50

To calculate the cost of 15 liters of petrol if 7 liters of petrol cost $14.70,

First, we will determine the cost of 1 liter of petrol.

From the question,

7 liters of petrol cost $14.70

That is,

7L = $14.70

Then,

1 L = $14.70 ÷ 7

1 L = $2.10

∴ The cost of 1 liter of petrol is $2.10

Now, for the cost of 15 liters of petrol, we will multiply the unit price ($2.10) by 15

That is,

The cost of 15 liters of petrol = 15 × $2.10

∴ The cost of 15 liters of petrol = $31.50

Hence, the cost of 15 liters of petrol if 7 liters cost $14.70 is $31.50

Learn more here: https://brainly.com/question/23804367

Answer:

If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.

Hope this helps!

Answer: 2c + 2 = 16

Step-by-step explanation:

One group has 2 more than the other.

That means in total, they are the same but + 2.

Only 2c + 2 = 16 represents this.

Answer:

c = 150 + 20b

Step-by-step explanation:

Given:

Ticket charges = $150

Each bag carry cost = $20

Find:

Relationship between bag(b) and cost(c)

Computation:

⇒ Total cost = Ticket charges + $20(number of bags)

⇒ c = 150 + 20(b)

⇒ c = 150 + 20b

Answer: d

Step-by-step explanation:

A = 18:25 = 1:1.39

B = 6:12 = 1:2

C = 10:18 = 1:1.8

D = 12:15 = 1:1.25

The smallest ratio is D.

sorry if it's wrong!

Answer:

Step-by-step explanation:

Possible Answer:

"Let us Judge not, that we be not judged" I belive it means to not judge others by there Race, Relgion, or Color.

Answer:

Step-by-step explanation:

5

x

−

9

=

7

x

+

6

−

2

x

Since  

x

is on the right side of the equation, switch the sides so it is on the left side of the equation.

7

x

+

6

−

2

x

=

5

x

−

9

Subtract  

2

x

from  

7

x

.

5

x

+

6

=

5

x

−

9

Move all terms containing  

x

to the left side of the equation.

Tap for more steps...

6

=

−

9

Since  

6

≠

−

9

, there are no solutions.

No solution

Answer:

x=15

Step-by-step explanation:

5x-9=7x+6-2x

7x-2x=5x

5x-9=5x+6

5x-5x=x

x-9=6

9+6=15

x=15

Answer:

Domain (-3, 4, 5)

Range (1, 2, 6)

Step-by-step explanation:

Domain is your x so all of the values that can go into a relation or function (which is your input) are called Domain. Domain is also all of the set of elements of ordered pair ( which is the x coordinates).

Range is your y so all the values that can go into a relation or function ( which is your output) are called Range. Range is also all the set of second elements of ordered pair ( which is the y coordinates).

So, basically you just look at all the number that come first so say you have

(1,2), (2,3), (3,4)

Your first numbers to each point are (1, 2, 3) which is your Domain

then look at the second number which are (2, 3, 4) which is your Range.

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

A difference of squares is factored in general as

a² - b² = (a - b)(a + b)

(i)

(x + 5)² - 16 ← is a difference of squares, that is

(x + 5)² - 4²

= (x + 5 - 4)(x + 5 + 4)

= (x + 1)(x + 9)

(j)

(x - 4)² - 9 ← is a difference of squares, that is

(x - 4)² - 3²

= (x - 4 - 3)(x - 4 + 3)

= (x - 7)(x - 1)

(n)

(2y + 7)² - y² ← is a difference of squares

= (2y + 7 - y)(2y + 7 + y)

=(y + 7)(3y + 7)

Answer:

t + 3

Step-by-step explanation:

Calculate the number of latex

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Answer:

1: x=2, 2: x=4, 3:x=3

Step-by-step explanation:

They are correct because i checked them

Answer:

it would be 17

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Edgunity

Answer:

5 C

Step-by-step explanation:

even though the zeros are .401 and 4.819 its a real world problem and would only make sense to round. Once u round you have 1 and 5, and since 5 is greater, it must be 5.

Answer:

2(3x−5)(4)−3(x+1)

Distribute:

=24x+−40+(−3)(x)+(−3)(1)

=24x+−40+−3x+−3

Combine Like Terms:

=24x+−40+−3x+−3

=(24x+−3x)+(−40+−3)

=21x+−43

Answer:

=21x−43

2(3x-5)

6x-10

4-3(x+1)

4-3x+1

-3x+1+4

-3x+5

6x-10-3x+5

6x-3x+5-10

3x-5

hope it helps!

Answer:

Dimensions of rug:

Length = 28 ft

Width =  27 ft

Step-by-step explanation:

The given dimensions of the room is:

Length = 30 ft

Width = 29 ft

Area of carpeting = 756 sq ft

Kindly refer to the attached image.

Let the uniform strip around floor is of length = [tex]x[/tex] ft

This [tex]x[/tex] feet will be 2 times along the length and

2 times along the width of room.

So, length of rug = 30 -2 [tex]\times[/tex] [tex]x[/tex] and

Width of rug = 29 -2 [tex]\times[/tex] [tex]x[/tex]

It will be rectangular in shape.

Area of a rectangle is given as:

[tex]A = Length\times Width[/tex]

[tex]756 = (30-2x) (29-2x)\\\Rightarrow 756 = 870 - 118x+4x^2\\\Rightarrow 4x^2-118x+114=0\\\Rightarrow 2x^2-59x+57=0\\\Rightarrow 2x^2-57x-2x+57=0\\\Rightarrow x =1, -\dfrac{57}{2}[/tex]

Negative length not possible.

So,Length of strip,  [tex]x = 1\ ft[/tex]

Dimensions of rug:

Length = 30 -2 = 28 ft

Width = 29 -2 = 27 ft

Answer:

8.075

Step-by-step explanation:

Since john used the flour on 8 different loafs, the best way to solve this would be to use division. You did not specify lbs or any other weight so that's the only answer I can provide.

Answer:

its 10

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex](x) = (x - 2)² - 6

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = [tex]\sqrt{x+6}[/tex] + 2 ( subtract 2 from both sides )

y - 2 = [tex]\sqrt{x+6}[/tex] ( square both sides )

(y - 2)² = x + 6 ( subtract 6 from both sides )

(y - 2)² - 6 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = (x - 2)² - 6

Answer:

A) 34 clients

Step-by-step explanation:

From the information given, to be able to determine the number of business clients you have to calculate the 45 percent of the total number of clients that is 75:

75*45%= 33.75→ 34

According to this, the answer is that the number of business clients is 34.

Answer:

X=3

C=12

Step-by-step explanation:

(2x+6)=c

2x+6

x=2/6

x=3

2x3+6=c

c=12

Answer:  

Isolate the variable by dividing each side by factors that don't contain the variable.

x= c/2-3

Answer: Answer

Step-by-step explanation:

The Blue One- 85

The Red One- 47

The Green One- 48

The Pink One- There were 6 penguins swimming in the sea. Two left, then 5 joined. How many penguins are there swimming in the sea now?

6 - 2 + 5 = x

Please let me know if my Math is correct!

Answer:   51

Step-by-step explanation:

17% of 300 is 51

300 x .17 =51.