15. The cost of beverages in a vending machine is shown.
Beverages
Cost
1
2
$1.25
$2.50
$3.75
3

Answer:

[tex]a_1=\frac{39}{8}; \ d=-\frac{1}{4}.[/tex]

Step-by-step explanation:

1) if the first term is 'a₁', the difference of the sequence is 'd', then it is possible to write two equations for the sum of the first 20 terms and the next 20 terms;

2) for the first 20 terms: (a₁+a₂₀)*20/2=50;⇔ (a₁+a₁+19d)*10=50; ⇔2a₁+19d=5;

for the next 20 terms: (a₂₁+a₄₀)*20/2= -50;⇔ (a₁+20d+a₁+39d)*10=-50;⇔ 2a₁+59d= -5.

3) if to solve the system of two equations, then:

[tex]\left \{ {{2a_1+19d=5} \atop {2a_1+59d=-5}} \right. \ => \ \left \{ {{a_1=\frac{39}{8} } \atop {d=-\frac{1}{4} }} \right.[/tex]

4) finally: the first term is '39/8', the difference is '-1/4'.

Answer:

Angle e = 35 degrees

Angle f = 180-35-109 = 36 degrees

Angle d = 109 degrees

Step-by-step explanation:

The equation of the graph after translation is y'' = √ ( x + 3 ) - 4

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

Given data ,

Let the equation of graph be represented as y

Now , the value of y is

y = √x

And , after a translation of graph by 3 units to the left , we get

y' = √ ( x + 3 )

Now , the translation of 4 units down is given by

y'' = y' - 4

y'' = √ ( x + 3 ) - 4

Hence , the translated equation is y'' = √ ( x + 3 ) - 4

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Answer:

If the diagram is 8 ovals with 4 squares each, and we know that this is a division,

then we have that an unknown number X is such that:

X/4 = 8 this is because we know that the division is by 4 (the number of squares in each oval) and the solution of the division is the number of ovals.

Then we can solve the equation for X. X/4 = 8

We multiply each side of the equality by 4 X= 4*8 = 32

then the diagram represents the division: 32/4 = 8 or " 32 divided by 4 = 8"

Step-by-step explanation:

Hi there!

Given;

The equation of straight line is 2y-3x+6 = 0.

a. Express in the form of y = mx + c.

2y-3x+6 = 0

2y = 3x-6

y = (3x-6)/2

y = (3/2)X - 3

Therefore, the required equation is : y = (3/2)x-3.

b.

The y-intercept of the equation is -3.

Hope it helps!

(0,2) is your answer

Explanation

Answer:

B. The way in which numbers are grouped to be added does not change the sum.

Answer:

6 is the answer.

Answer:

1/12

Step-by-step explanation:

multiply by three so 4x3 is 12 and that's 3 equal parts

Answer:

(3, 5)

Step-by-step explanation:

The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.

Answer:

4 hours

Step-by-step explanation:

After 4 hours, the north-bound truck will have traveled 232 miles and the south-bound truck will have traveled 256 miles.  232 + 256 = 488 miles.

Answer:

89,892

Step-by-step explanation:

[tex]x+y[/tex]

[tex](38,221)+(51,671)[/tex]

[tex]89,892[/tex]

a) The monthly payment for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be $118.80.

b) The total number of monthly payments that Sofia would make for the 5-year loan of $6,000 at an interest rate of 7% is 60.

c) The total finance charge for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be approximately $1,128.00.​

The monthly payment to pay off a mortgage can be calculated using an online finance calculator as below.

Loan amount = $6,000

Maturity period = 5 years

Interest rate = 7%

N (# of periods) = 60 months (5 years x 12)

Results:  

Monthly Payment = $118.81 ($34.02 + $84.79)

Mortgage Payment = $7,128.60 ($118.81 x 60)

Total of 60 Mortgage Payments $7,128.60

Total Interest = $1,128.60 ($7,128.60 - $6,000)

 Date Beginning Balance   Interest    Principal        Ending

                                                         Repayment    Balance

1 3/2022       $6,000.00             $35.00     $83.81       $5,916.19

2 4/2022         $5,916.19               $34.51     $84.30      $5,831.90

3 5/2022        $5,831.90              $34.02     $84.79      $5,747.11

Learn more about calculating monthly payments at https://brainly.com/question/24576997

Answer:

The table shows monthly payments for every $1,000 of principal borrowed. For a 5-year loan at 7%, the payment on a $1,000 loan would be $19.80.

So, for a loan of $6,000, the payment would be $19.80 × 6 = $118.80.

A 5-year loan will have 60 monthly payments since 5 × 12 = 60.

Multiply the monthly payment by 60 months to get the total amount paid on the loan:

$118.80 × 60 = $7,128.

To calculate the total finance charge, subtract the principal amount from the total amount paid on the loan:

$7,128 − $6,000 = $1,128.

Step-by-step explanation:

Answer:

1. the smiley face, the top right corner.

2. top left corner again

3. rotation i think...

4.  e looks like the answer not sure.

Step-by-step explanation:

ez... maybe

Answer:

1st page-1

2nd page-b on the second line

3rd-b

4th-a

5th-c

Step-by-step explanation:

Answer:

answer is xy

Step-by-step explanation:

✓x-y=xy

y x=xy

Answer:

x=140⁰

Step-by-step explanation:

80+50=130

180-130=50

50+30=80

360-80=

280/2

=140

Answer is the third graph it was just an error..

What is 888 x - 666? = -591408

[tex]Hello[/tex] [tex]There![/tex]

Ummmmm... I could be wrong?

I think it is...

-591408

Hopefully, this helps you!!

[tex]AnimeVines[/tex]

Answer:

5/6

Step-by-step explanation:

(6-1)/(2- -4) --> 5/6

Answer: Slope = 5/6

Concept:

Here, we need to know the idea of a slope.

A slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope = (y₂ - y₁) / (x₂ - x₁)

Solve:

Given information

(x₁, y₁) = (-4, 1)

(x₂, y₂) = (2, 6)

Given equation

Slope = (y₂ - y₁) / (x₂ - x₁)

Substitute values into the equation

Slope = (6 - 1) / (2 - (-4))

Simplify values in parentheses

REMEMBER to change signs whenever a [+, -] meets [-] sign

Slope = 5 / (2 + 4)

Slope = 5/6

Hope this helps!! :)

Please let me know if you have any questions

Answer:

if m is the midpoint of AB

then,AM will be equal to MB

Therefore,

[tex]3x + 3 + 3x + 3 = 82 \\ 6x + 6 = 82 \\ 6x = 82 - 6 \\ 6x = 76 \\ x = \frac{76}{6} = \frac{38}{3} \\ \\ |am| = 3x + 3 \\ \: \: \: = 3( \frac{38}{3} ) + 3 \\ = 38 + 3 \\ = 41[/tex]

Answer:

1/3÷5

=1/3×1/5

=1/15

each child receive 1/15 of cake

Answer:

6

Step-by-step explanation:

The Volume is 4×6×9, which is 216

∛216

The cube root is 6.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

Angle 1 is 129

Step-by-step explanation:

You do not need to solve the (3x+3) because you can see that these lines are parallel, so you can simply do 180-51 to get angle 1.

The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000

Using this formula

2021 preferred shareholders(per year)=Per dividend * Dividend rate

Let plug in the formula

2021 preferred shareholders(per year)=[(7,000*$100)*6%]

2021 preferred shareholders(per year)=($700,000*6%)*2

2021 preferred shareholders(per year)=42,000*2

2021 preferred shareholders(per year)=84,000

Inconclusion The amount will Arundel need to pay preferred shareholders in 2021 if they wish to pay a dividend to common shareholders is 84,000

Learn more about preferred shareholders here:

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Answer:

Just 2 hours

Step-by-step explanation:

Since it takes 1 hour for 19, 19+19 is 38, so it takes 2 hours

Answer:

x=5

JK = 40 units

Step-by-step explanation:

JM=MK since the have the little red line which shows they are equal

7x+5 = 8x

Subtract 7x from each side

7x+5 -7x= 8x-7x

5 = x

JK = 7x+5 = 7(5)+5 = 35+5 = 40

Answer: x = 4

Step-by-step explanation:

Given equation

7x + 14/3 - 17 - 3x = 6x - 4x + 2/3 - 5

Combine like terms on both sides

(7x - 3x) + 14/3 - 17 = (6x - 4x) + 2/3 - 5

4x + 14/3 - 17 = 2x + 2/3 - 5

Subtract 2/3 on both sides

4x + 14/3 - 17 - 2/3= 2x + 2/3 - 5 - 2/3

4x + 12/3 - 17 = 2x - 5

4x + 4 - 17 = 2x - 5

4x - 13 = 2x - 5

Add 13 on both sides

4x - 13 + 13 = 2x - 5 + 13

4x = 2x + 8

Subtract 2x on both sides

4x - 2x = 2x + 8 - 2x

2x = 8

Divide 2 on both sides

2x / 2 = 8 / 2

[tex]\boxed{x=4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x=5/2 or 2.5

Step-by-step explanation:

See the image for solution

Hope it helps

Have a great day

Answer:

2.5 or 5/2

Step-by-step explanation:

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other - in other words, separated by the crossing point of the two lines, and not by the lines themselves.

that also means that they are equal.

and so,

8x + 15 = 4x + 25

4x = 10

x = 10/4 = 5/2 = 2.5

Answer:

y = c1 e^-x + c2 e^(3x)

Step-by-step explanation:

Review linear DE's

(D-3)(D+1)y = 0

Answer:

11 degrees

Step-by-step explanation:

13-2=11.