please help!!!
picture below

Answer:

A. $1500.00

Step-by-step explanation:

Assuming this is a simple interest savings account.

Simple interest formula

I = Prt

where:

Given:

Substitute the given values into the formula and solve for P:

⇒ I = Prt

⇒ 225 = P(0.03 ×5)

⇒ 225 = P(0.15)

⇒ P = 225 ÷ 0.15

⇒ P = 1500

Therefore, Timothy started the account with $1500.00.

Answer:

0

Step-by-step explanation:

Answer:

1. [tex]x = 2.45s[/tex]

2. The diving board is 45 ft high.

Step-by-step explanation:

• When Lindsey is 30 feet in the air, y = 30.

[tex]30 = -16x^2 + 33x +45\\\\-16x^2 + 33x +15 = 0\\\\16x^2 - 33x -15 = 0\\[/tex]

Using quadratic formula, solve for x:

[tex]x = \frac{33 + \sqrt[]{(-33)^2 - 4(16)(-15)} }{2(16)}[/tex]

[tex]x = 2.45s[/tex]

• If we calculate the height of Lindsey in the air when she is standing on the diving board, we can find the height of the diving board above the ground.

When she is standing on the board, x = 0 as no time has passed after jumping.

[tex]y = -16(0)^2 + 33(0) +45\\\\y = 45 ft[/tex]

Answer:

18502.8229198

Answer:

18502.82292

Step-by-step explanation:

calculator

The value of x will be 158. The value of x is obtained by simplifying the equation.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Identity used;

(x+a)(x-a) = x² - a²

Given expression;

3(x-7)(x+7) - (x-1)(3x+2) = 13

Solving the equation step by step;

[tex]\rm 3(x^2 - 7^2 ) - [x(3x+2)-1(3x+2) ]= 13\\\\ 3x^ 2 -147 -[3x^2 +2x -3x-2] = 13 \\\\ 3x^2 -147 -[3x^2 -x-2] = 13\\\\ 3x^2-147-3x^2 +x+2 = 13 \\\\ x= 13+145 \\\\ x= 158[/tex]

Hence, the value of x will be 158.

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The value of y when x is equal to zero will be 330.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given function is;

y = 330 + 25x

We have to find the value of y when x is equal to zero.

So,

Put x = 0

y = 330 + 25x

y = 330 + 25(0)

y = 330

Hence, the value of y when x is equal to zero will be 330.

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The coordinates of the point that is 4/5 of the way from T to S is (2,10)

The given parameters are:

T = (6,-2)

S = (1,13)

Location = 4/5

The location 4/5 means

Ratio, m : n = 4 : 1

The coordinate is then calculated as:

[tex](x,y) = \frac{1}{m +n} * (mx_2 + nx_1,my_2 + ny_1)[/tex]

This gives

[tex](x,y) = \frac{1}{4 +1} * (4 * 1 + 1 * 6 , 4 * 13 + 1 * -2)[/tex]

Evaluate

[tex](x,y) = \frac{1}{5} * (10 , 50)[/tex]

This gives

(x,y) =  (2,10)

Hence, the coordinates of the point that is 4/5 of the way from T to S is (2,10)

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Answer:

1

Step-by-step explanation:

Solutions to a systems of equations are when the (x, y) of two equations are equal with both equations remaining true or in other words when both equations intersect. So by looking at the graph, both equations seem to be linear so there should only be 0, 1, or infinitely many solutions. Since they do have one intersection there is only 1.

Answer:

The system of equations only has 1 solution.

Explanation:

This can be seen by looking at the graph and seeing where the lines were to intersect. For example, if the lines were parallel and never intersected, then there would be 0 solutions. On the other hand, if the lines were essentially the same and overlapped at every point, then there would be infinitely many solutions.

Answer:

26,28

Step-by-step explanation:

We can make a system of equations based on the information given

first we can make one for the perimeter

and one for the area using herons formula

(x and y are the two unknown sides)

[tex]84=30+x+y[/tex]

[tex]336=\sqrt{42(12)(42-x)(42-y)}[/tex]

Now solve for x and y or you can find it by graphing

x and y = 26 and 28, the order does not matter since they are both unkown

so the two sides are 26 and 28

Answer: [tex]\angle STU=34^{\circ}, \angle TVW=116^{\circ}[/tex]

Step-by-step explanation:

By the alternate interior angles theorem,

[tex]3x+4=2x+14\\\\x+4=14\\\\x=10\\\\\implies \angle STU=3(10)+4=\boxed{34^{\circ}}[/tex]

By the alternate interior angles theorem, [tex]\angle UTV=82^{\circ}[/tex], and we also know that [tex]\angle TUV=34^{\circ}[/tex].

Thus, by the exterior angle theorem,

[tex]\angle TVW=82+34=\boxed{116^{\circ}}[/tex]

Answer:

x=1, y=1. (1, 1).

Step-by-step explanation:

y=-5x+6

y=3x-2

------------

-5x+6=3x-2

-5x-3x+6=-2

-8x+6=-2

-8x=-2-6

-8x=-8

8x=8

x=8/8=1

y=3(1)-2=3-2=1

Answer:

40

Step-by-step explanation:

it's 8+8+8+7+9 so it's gonna be 40

Answer:

I believe the answer would be option D

Step-by-step explanation:

the distance formula is

[tex] \sqrt{(x - x1)^{2} + (y - y1)^{2} } [/tex]

So, substituting the values of the coordinates, you will get the answer of D

Answer:

y = 3

x = -15        

Step-by-step explanation:

When substituting, we want to get rid of one of the variables. (It's easiest ot find the variable in terms of other variable)

so, we know that...

 x + 5y = 0

    - 5y     - 5y

x = -5y

We can plug this x-value into the second equation to find our y-value:

 3y + 2x = -21

  3y + 2(-5y) = -21

3y - 10y = -21

      -7y = -21

     ÷ -7      ÷ -7

y = 3

So, if x = -5y,

x = -5y

x = -5(3)

x = -15

(we can test these values in one of the original equations):

    x + 5y = 0

(-15) + 5(3)= 0

-15 + 15 = 0

 {true}                        

so, y = 3 ; and x = -15    

hope this helps!! :)

Answer:

y = -1

Step-by-step explanation:

Because the coordinate of U and U' is (5, 0) and (5, -2), the line that is right in the middle would be y = -1.
Or you can compare two of the coordinates to create the line of reflection.

For example: R (0,0), R'(0, -2)

                      U(5, 0), U'(5, -2)

The middle points are (0, -1) (5, -1).

In this case, y = -1.

===================================================

Explanation:

She has already ran 8 miles, so she has 26-8 = 18 miles left to go.

She runs at a pace of 7.5 mph, which means she has 18/(7.5) = 2.4 hours left to go.

I used the equation distance = rate*time, and solved for time to get time = distance/rate.

--------------------

Another approach:

Here's how you can use algebra.

x = time she has left in hours

7.5x = distance covered in those x hours

7.5x+8 = total distance

7.5x+8 = 26

7.5x = 26-8

7.5x = 18

x = 18/(7.5)

x = 2.4

Answer:

or D

Answer:

- 9,800,000,000

Step-by-step explanation:

9.8 * [tex]10^{-9}[/tex]

Simplify 10 with exponent

[tex]{10}^{-9}[/tex] = -10 with 9 zeroes

Rewrite

[tex]{10}^{-9}[/tex] = -1,000,000,000

Place back into expression

9.8 * -1,000,000,000

Simplify by multiplying

- 9,800,000,000

Let me know if you have any questions!

Based on the calculations, Celine would earn a total of $65.00 assuming she delivered 10 packages.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variable.

Given the following function:

y = 20.00 + 0.45(x)

In this exercise, you're required to determine Celine's weekly earnings based on the number of packages she delivered. However, the number of packages delivered by Celine wasn't shown, thus, we would assume a value for the purpose of an explanation:

Assuming x = 10 packages.

Substituting the value of x into the function, we have:

y = 20.00 + 0.45(10)

y = 20.00 + 45

y = $65.00.

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Answer:The following what

Step-by-step explanation:

what is the following and there is no questions.

Answer:

Coordinates follow (x,y) so to find a solution to the line you want to find a point in (x,y) form which is on the line.

This means (1,3) is a solution because at x=1 and y=3 it is on the line.

C | (1,3)

Answer:  [tex]x^2[/tex]  and  [tex]-2[/tex]

Step-by-step explanation:

original :

[tex](10x^3+3x^2)+(-20x-6)[/tex]

factored :

[tex]x^2(10x+3)+-2(10x+3)[/tex]

Answer :

[tex]x^2[/tex]  and  [tex]-2[/tex]

Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

12 km

Step-by-step explanation:

Let the total distance to be traveled = x

[tex]\sf \dfrac{4}{5} \ of \ the \ journey = 48\\\\[/tex]

        [tex]\sf \dfrac{4}{5}*x = 48\\\\[/tex]

             [tex]x = 48*\dfrac{5}{4}[/tex]

                = 12 * 5

            x = 60 Km

Distance still to traveled = 60 - 48 = 12Km

The distance that measures 7 units is the distance between points M and P

The complete question is in the attached image

The points are given as:

L= -7

M = -1

N = 2

P = 6

The distance between any points A and B is calculated using:

AB = |B - A|

Using the above formula, we have:

MP = |6 -(-1)|

Evaluate the difference

MP = |7|

Remove absolute bracket

MP = 7 units

Hence, the distance that measures 7 units is the distance between points M and P

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Answer:

432 mm²

Step-by-step explanation:

We need to cut out 3x3 squares from corners and make an open box. It's height will be 3mm(see the plan). So volume will be:
V = 12 * 12 * 3 = 432mm²

Answer:

16500

Step-by-step explanation: