A business has $10,000 in its bank account. In order to build an addition onto its office, it takes out a loan for $30,000 and deposits that money into the bank account. A number line is shown. The number line goes from zero dollars to forty thousand dollars by intervals of five thousand. A point is plotted at ten thousand dollars. What is the new account balance?

Answer:

no solution

Step-by-step explanation:

y = 2x - 1 → (1)

y = 2x + 4 → (2)

substitute y = 2x - 1 into (2)

2x - 1 = 2x + 4 ( add 1 to both sides )

2x = 2x + 5 ( subtract 2x from both sides )

0 = 5 ← not possible

This indicates the system has no solution

The slope is -5/4 and the equation of the line in point-slope form is       y-5 = -5/4(x+4) + c.

The slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the line. It is the ratio of the vertical change to the horizontal change between any two distinct points on a line.

For the given situation,

The points are  (x1,y1) is (−4,5) and (x2,y2) is (0,0)

The formula of slope is

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

⇒ [tex]m=\frac{0-5}{0-(-4)}[/tex]

⇒ [tex]m=\frac{-5}{4}[/tex]

The equation of the line in point-slope form is

[tex]y-y1=m(x-x1)[/tex]

⇒ [tex]y-5=\frac{-5}{4} (x-(-4))[/tex]

⇒ [tex]y-5=\frac{-5}{4} (x+4)[/tex]

Hence we can conclude that the slope is -5/4 and the equation of the line in point-slope form is y-5 = -5/4 (x+4).

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Answer:

988542

Step-by-step explanation:

Highest numbers first because they hold greater values.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

x = 24

Step-by-step explanation:

0.6x=0.1×x+7+5

0.6x=0.1×x+12

0.6x−0.1×x=12

0.5x=12

x=24

Answer:

x=24

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for calculating the interior angle of a polygon is expressed as;

sum of internal angle = (n-2)180 where;

n is the number of sides of the polygon in consideration.

Given a 15 sided polygon, n = 15

sum of internal angle = (15-2)180

sum of internal angle = (13)180

sum of internal angle = 2340

Hence kevin is wrong, the correct answer is 2340

the answer is :

[tex]-4x-2[/tex]

how to do it:

[tex]3x-7x-4+2[/tex]

[tex]3x-7x-2[/tex]

[tex]-4x-2[/tex]

From the given table, the year values, and prices, we have the following

equation and values;

(a) The least squares regression equation is; y ≈ 0.1316·x - 261.73

(b) The estimate of the price per gallon in 2030 is approximately $5.418

(a) The coefficients of the least squares regression formula are

presented as follows;

[tex]a = \mathbf{\overline y - b \cdot \overline x}[/tex]

[tex]b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]

Entering the given values in MS Excel, we have;

[tex]\overline x[/tex]  = 2005.1

[tex]\overline y[/tex] = 2.204

[tex]b = \dfrac{56.456 }{428.9} \approx 0.1316[/tex]

a = 2.204 - 0.1316 × 2005.1 ≈ -261.73

The least squares regression equation is therefore;

(b) In the year 2030, we have;

The price, y ≈ 0.1316 × 2030 - 261.73 = 5.418

In the year 2030, the price per gallon will be approximately $5.418

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Answer: 63

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

2 is a positive whole number with a value greater than 1. 3/4 is NOT greater than 1. So 2 is greater than both 0 AND 3/4 and cannot be between the two numbers.

No, Jan is wrong because 2 is not in between 0 and 3/4 on a number line.

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

Jan says that 2 is between 0 and 3/4 on a number line.

Here, The numbers on the number line are 0 and 3/4.

⇒ 3 / 4 = 0.75

So, We get;

⇒ 2 > 0

And, 3/4 < 2

Thus, The number 2 is not in between 0 and 3/4 on a number line.

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Answer:

3141.59

Step-by-step explanation:

V=πr2h=π·102·10≈3141.59265

[tex] \tt \tiny \gray{thanks}[/tex]

Answer: The answer is where the n is the number of people in the club

Step-by-step explanation:

A)Write down an expression, in terms of n, for the number of people in the club.

B) Two of the people in the club are chosen at random. The probability that both these people are men is one tenth. Calculate the number of people in the club.

Answer:

28.4 (rounded)

Step-by-step explanation:

7.1 times 7.1 is 50. To calculate area, you need to multiply 2 of the sides. so, that is the side length.

then, you multiply it by 4 for all four sides. that would be 28.4.

Answer:

54 or 30

Step-by-step explanation:

Perimeter is adding all the sides together. Area is multiplying LxW and 50 can be gotten by multiplying 5 by 10, or 25 by 2. So if you went by 5x10, both lengths would be 5 and the widths would be 10 or vice versa. Same goes for if you multiplied 25 by 2.

Answer:

$134217728

Step-by-step explanation:

Day 1: $1

Day 2: $2

Day 3: $4

Day 4: $8

Day 5: $16

Day 6: $32

Day 7: $64

Day 8: $128

Day 9: $256

Day 10: $512

Day 11: $1024

Day 12: $2048

Day 13: $4096

Day 14: $8192

Day 15: $16384

Day 16: $32768

Day 17: $65536

Day 18: $131072

Day 19: $262144

Day 20: $524288

Day 21: $1048576

Day 22: $2097152

Day 23: $4194304

Day 24: $8388608

Day 25: $16777216

Day 26: $33554432

Day 27: $67108864

Day 28: $134217728

Answer:

[tex]9x + 30[/tex]

Step-by-step explanation:

Perimeter is the sum of all sides so just add the length of all the sides together.

Remember to expand 4(x+3)

118 - 4 x 8 = 118 - 32 = 86°

5 ori 5 fac 25 și cu 25 egal 14 și cu 14 egal 100 și cu 100 egal 12

Answer:

189.25 in²

Step-by-step explanation:

First, let us find the area of the rectangle.

Area = Length × Width

        = 15 in × 10 in

        = 150 in²

Then let us find the area of the semicircle.

Area = [tex]\frac{1}{2}[/tex] × π r²

         =  [tex]\frac{1}{2}[/tex] × 3.14 × 5 × 5

         = 0.5 × 3.14 × 25

         = 1.57 × 25

         = 39.25 in²

Now let us find the total area of the composite figure.

Total area = Area of the rectangle + Area of the semi-circle.

                 = 150 in² + 39.25 in²

                 = 189.25 in²

Answer:

He will drive 180 miles in 4 hours. ( I think)

Step-by-step explanation:

If he keeps going at his rate which is 45 mph then if you multiply that by 4 then your answer should just be 180 miles.

Answer:

180 miles

Step-by-step explanation:

so he goes 45 miles per hour

since you need to find 4 hours just multiply 45 by 4

45 x 4 = 180

there's your answer

Answer:

hiiiiii

Step-by-step explanation:

Answer:

Step-by-step explanation:

Loss is 20%

S.P=Rs60000

C.P=S.P*100/100-loss%

=60000*100/80=Rs75000

So he brought is at Rs75000

Now he wants 12% profit

So

S.P=(100+profit%)/100*C.P

=100+12/100*75000

=112/100*75000=Rs 84000

He will have to sell Rs14000 more to gain profit of 12%

Answer:

B

Step-by-step explanation:

I hope this helps! :) If you need an explanation, let me know. Other than that, have a lovely day!! <3

A(2;3) is ok on B and C

B(2 ; 6) is ok on B

C (8 ; 7) is ok on B as well

and

D (8 ; 3) is ok on B

=> B

Answer:

No

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

The concentration of pineapple when 2 gallons of pineapple juice are added to 6 gallons of the other juice is; 8.24

The function is a type of relation, or rule, that maps one input to a specific single output.

Given that the functions that model the concentration of apple juice in the drink after x gallons of the 20% drink are added to 2 gallons of pure juice.

f(x)=(2)(1.0)+x(0.2)²+x

If the concentration of apple when 2 gallons of apple juice are added to 6 gallons of the other juice;

f(6) = (2)(1.0)+ 6(0.2)²+ 6

f(6) = 2.0 + 6.24

f(6) = 8.24

Hence the concentration of pineapple when 2 gallons of pineapple juice are added to 6 gallons of the other juice is; 8.24

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I can't see it redo it so I can answer

Answer:

I believe the answer is B

The table which most likely relates the height h(t), in meters, over time, t, in seconds  is: Option D:

If the height function is function of time 't', and the object's height is measured from the ground level and object never goes inside ground, then that means height can never be negative. It will always assume non-negative values.

There are three equations of motion that can be used when motion of the object is under constant acceleration and on a straight path.

They are listed below as:

[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]

where the symbols have following meanings:

All the tables given except the last table have negative height values. That shows that if those negative valued tables are true, then the ball went inside ground.

Since no such event of ball going inside the ground is specified in the considered situation, thus, only the last table is valid here in terms of sign of height.

The last table is:

       t (in seconds)            h(t) (in meters)

       0                                180

       2                                160.4
       4                                101.6
       6                                3.6

Checking the truthfulness of the last table by using law of motion in straight path:

u = initial velocity of ball = 0

a = gravitational acceleration = -g ≈ -9.8 m/s sq.

Now, height of ball at time t = initial height of ball - distance it traveled from starting point in direction of reaching ground.

Thus, h(t) = 180 - |s| (assuming first value is true in the table)

where |s| = non-negative value of s

[tex]s= ut + (1/2)at^2\\s = 0t + (1/2)(-9.8)t^2\\\\|s| = 4.9t^2 \: \rm m/s^2[/tex]

Thus, h(t) = 180 - 5t² m/s sq.

[tex]h(2) = 180 - 4.9(2)^2 = 160.4\\h(4) = 180 - 4.9(4)^2 = 101.6\\h(6) = 180 - 4.9(6)^2 = 3.6\\[/tex]

Thus, the table which most likely relates the height h(t), in meters, over time, t, in seconds  is: Option D:

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