Plss someone help!!!

We are given:

Money on the fifth day (a₅) = $80

Money on day 21 (a₂₁) = $160

To Find:

Money in the bank on the first day (a₁) = ?

Money being added to the account per day (d) = ?

Money in the bank on day 30 (a₃₀) = ?

__________________________________________________________

Finding the money on day one and the money added:

Solving for equations

Since we are adding a constant amount to our account every day, the amount of money in the bank can be represented by an AP

We know that the formula for the nth term of an AP is:

aₙ = a₁ + (n-1)d

So, we can write the amount of money on day 5 as:

a₅ = a₁ + (5-1)d

a₅ = a₁ + 4d

80 = a₁+  4d                        [We are given that a₅ = 80]

We are also given the amount of money on day 21:

a₂₁ = $160

Money on day 21 can be rewritten as:

a₂₁ = a₁ + (21-1)d

160 = a₁ + 20d                  [Since a₂₁ = 160]

Solving the equations:

Now we have 2 equations. We will now solve them to get the values of a₁ and d

160 = a₁ + 20d ----------------------(1)

80 = a₁ + 4d--------------------------(2)

From equation (2), we can say that:

a₁ = 80 - 4d              [subtracting 4d from both sides]

Now, we will use this value of a₁ in the equation (1):

160 = a₁ + 20d

160 = (80-4d) + 20d

160 = 80 + 16d

80 = 16d             [subtracting 80 from both sides]

d = 5                   [dividing both sides by 16]

Now that we know the value of d, we can use it in any of the 2 equations:

80 = a₁ + 4d

80 = a₁ + 4(5)              [since d=5]

80 = a₁ + 20

a₁ = 60                        [subtracting 20 from both sides]

Now, we know the values of the initial amount of money and the money added to the account everyday

Initial money in the bank = $60

Money added everyday = $5

__________________________________________________________

Money in day 30:

We will use the AP formula to find the value of money on day 30

a₃₀ = a₁ + (30-1)d

We know that a₁ = $60 , d = $5

a₃₀ = 60 + 29(5)

a₃₀ = 60 + 145

a₃₀ = $205

Money on day 30 = $205

Answer:

started with $55

adds $5 each day

$205 on the 30th day

Step-by-step explanation:

21-5 = 16

160-80 = 80

80 divided by 16 = 5

5 * 5 = 25

80 - 25 = 55

9 * 5 = 45

160 + 45 = 205

Answer:

b

Step-by-step explanation:

Answer:

The correct answer would be the second option y-2=1/3(x-3)

Answer:

Y

Step-by-step explanation:

Look at Y and look at the input and output it shows which one is it and how to find it you welcome :)

Answer:

If two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent.

In ASA, two angles and one common side is equal and in AAS one not common side and two angles are equal.

Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes is represented by the symbol and consists of three connected vertices.

The ASA congruence means, there will be two corresponding angles and one side between them will be equal, then the triangles are congruent.

The AAS congruence means, there will be two corresponding angles and one side excluded from them will be equal, then the triangles are congruent.

To know more about Triangles:

https://brainly.com/question/16886469

#SPJ2

Answer:

148 degrees

Step-by-step explanation:

a straight line is 180 degrees so subtract 180 - 32 = 148

Answer:

2

Step-by-step explanation:

Complete question :

An online clothing company sells custom sweatshirts. The company charges ​$4.99 for shipping plus ​$7.50 for each sweatshirt. Write a linear function rule that models the total cost y​ (in dollars) for any number of sweatshirts x.

Answer:

y = 7.50x + 4.99

Step-by-step explanation:

Given that :

Shipping fee = 4.99

Cost per shirt = 7.50

Writing the relation in the form of a linear equation :

General form of a linear function :

y = mx + c

Where m = slope ; c = intercept

The total cost of ordering x sweatshirts :

y = (cost per sweatshirt * number ordered) + shipping fee

y = 7.50x + 4.99

Answer:

the answer is $7.99

Step-by-step explanation:

Answer:

Its a 1 in 6 chance of rolling a 3

Step-by-step explanation:

Let me know how many color and i can tell you the probability if spinning blue, enjoy.

Answer:

621/9=69

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

69x 9= 621

Answer:

120 people are likely to order nachos.

Step-by-step explanation:

Answer: 2/3

Solve: 9 goes into 180 20 times. 9x20=   180

                                                         6x20=120

Denominator is 180, Numerator is 120.

120/180 simplified is 2/3.

Answer:  330 degrees

Step-by-step explanation:

Answer:

28−7x

i think :]

Answer:

f(5)=3(5)+2 = 17

Step-by-step explanation:

Answer:

(–1.4, 1.5)

Step-by-step explanation:

Answer:

its b.

Step-by-step explanation:

also youre gonna get banned lol

Answer:a

Step-by-step explanation:weed

Answer:2 2/3

Step-by-step explanation:

Answer:

line PQ is congruent to like SR. reason: given

angle PQR is congruent to angle SRQ. reason: given

Line QR is congruent to line QR. reason: reflexive property of equality.

Triangles PQR and SQR are congruent by the SAS postulate

Step-by-step explanation:

Answer:

The slope is -2.

Step-by-step explanation:

m=y2-y1/x2-x1            (also, y1-y2/x1-x2 is also true.)

=23-15/6-10                  m=15-23/10-6

= 8/-4                            =-8/4

=4/-2                             =-4/2

= 2/-1                             =-2/1

m=-2                             m=-2

Answer:

x = 27

STEP BY STEP:

3 = x/9

3 = x/3 x 2

9 x 3 = x

27 = x

x = 27

Hope this helped! Have a good day!

Answer:

-8/3

Step-by-step explanation:

8x + 3y = - 9

Let's make y the subject of the formula.

y = - 9/3 - 8x/3

Rearrange

y = - 8x/3 - 3

The slope is the coefficient of x which is - 8/3

If you don't understand, please leave a comment

Please gimme brainliest

Answer:

I think its measure of variation

Step-by-step explanation:

Answer:

Yall i got banned so this is my second account

Step-by-step explanation:

Answer: they would have to win 22/40 games

Step-by-step explanation:

22 divided by 40 is 0.55 or 55%

Answer:

x = 12 (I took the FLVS assignment for 04.04, and I'll show you guys how to do this!)

Step-by-step explanation:

The team has completed 28 matches so far and has won 10 of them.

The current success rate is:

[tex]r=\frac{10}{28} *1.00=.35714[/tex]

(1.00 = 100% and .35714 = 35.714%)

We need the success rate to be 55%

Then the team must win a number of "x" matches, so:

[tex]r=\frac{10+x}{28+x} =0.55[/tex]

Now we solve the equation for x:

[tex]\frac{10+x}{28+x} =0.55[/tex]

[tex]10+x=0.55(28+x)[/tex](distributive property here!)

[tex]10+x=15.4+0.55x[/tex]

Now, move the 0.55x to the other side by subtracting it from both sides:

[tex]10+x-0.55x=15.4[/tex]

And move the 10 by doing the same thing (subtracting from both sides):

[tex]x-0.55x=15.4-10[/tex]

[tex]0.45x=5.4[/tex]

(You might ask: 15.4 - 10 = 5.4, but how do you get 0.45x out of x - 0.55x? Use Quick Math, and you should get the answer!)

[tex]x=\frac{5.4}{0.45}[/tex]

[tex]x = 12[/tex]

So, by following these steps, x = 12 is your answer!

The team must win 12 matches to have a success rate of 55%.

Hope this helps! Have a wonderful day!

Answer:

6

Step-by-step explanation:

3!= 3(2)*1 = 6

Step-by-step explanation:

7g+4p-3g-9p

7g-3g+4p-9p

g(7-3)+p(4-9)

Answer:

B .  She is incorrect because when substituting 2 for m the result was a false statement.

Step-by-step explanation:

Edge. 2020

Answer:

B

Step-by-step explanation:

Answer:

The slope of the given line is -4

Step-by-step explanation:

The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

In the given figure

∵ The line passes through the points (-6, 5) and (-4, -3)

∴ x1 = -6 and y1 = 5

∴ x2 = -4 and y2 = -3

→ Substitute them in the formula of the slope above

∵ m = [tex]\frac{-3-5}{-4--6}[/tex]

∴ m = [tex]\frac{-8}{-4+6}[/tex]

∴ m = [tex]\frac{-8}{2}[/tex]

∴ m = -4

∴ The slope of the given line is -4