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2 years ago

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Find the number of terms, n, in the arithmetic series whose first term is 15, the common difference is 4, and the sum is 3219. P

ls I need help ASAP I will give top answer.
A. 33
B. 35
C. 37
D. 36

1 answer:

klio [65]2 years ago

6 0

Answer: 37

Step-by-step explanation:

I guessed on the quiz and got it right

You might be interested in

1.Solve the equation. Check for extraneous solutions.

elena55 [62]

Okay so I did the math.

1. Two solutions were found :<span><span>
z=-1
</span><span>z=2/3
</span></span><span>Step 1 :</span>Rearrange this Absolute Value Equation

Absolute value equalitiy entered
|2z-3| = 4z-1

<span>Step 2 :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |2z-3|

</span>For the Negative case we'll use -(2z-3)

For the Positive case we'll use (2z-3)

<span>Step 3 :</span>Solve the Negative Case

      -(2z-3) = 4z-1

     Multiply
      -2z+3 = 4z-1

     Rearrange and Add up
      -6z = -4

     Divide both sides by 6
      -z = -(2/3)

     Multiply both sides by (-1)
      z = (2/3)
     Which is the solution for the Negative Case

<span>Step 4 :</span>Solve the Positive Case

      (2z-3) = 4z-1

     Rearrange and Add up
      -2z = 2

     Divide both sides by 2
      -z = 1

     Multiply both sides by (-1)
      z = -1
     Which is the solution for the Positive Case
Step  5  :Wrap up the solution

<span> z=2/3
</span><span> z=-1

2. </span>-6 < x < 26/3

<span>Step 1 :</span>Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
|3x-4|+5 < 27

Another term is moved / added to the right hand side.

|3x-4| < 22

<span>Step 2 :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |3x-4|

</span>For the Negative case we'll use -(3x-4)

For the Positive case we'll use (3x-4)

<span>Step 3 :</span>Solve the Negative Case

      -(3x-4) < 22

     Multiply
      -3x+4 < 22

     Rearrange and Add up
      -3x < 18

     Divide both sides by 3
      -x < 6

     Multiply both sides by (-1)
     Remember to flip the inequality sign
      x > -6
     Which is the solution for the Negative Case

<span>Step 4 :</span>Solve the Positive Case

      (3x-4) < 22

     Rearrange and Add up
      3x < 26

     Divide both sides by 3
      x < (26/3)

     Which is the solution for the Positive Case

<span>Step 5 :</span>Wrap up the solution

-6 < x < 26/3

Solution in Interval Notation

(-6,26/3)

HOPE THIS HELPS :D

7 0

2 years ago

Mi padre compró un radio por cierta suma de dinero, un televisor que costó 10 veces más que el radio y un reproductor cuyo preci

Maru [420]

Answer:

For radio = $40.43

Television = $444.73

Player = $364.73

Step-by-step explanation:

The computation of the each device cost is shown below:

let us assume the following things

radio be x

television x + 10x

player x + 10x - $80

Now the equation is

x + x + 10x + x + 10x - $80 = $850

3x + 20x - $80 = $850

23x = $930

x = $40.43

For radio = $40.43

Television = $40.43 + 10(40.43)

= $40.43 + $404.3

= $444.73

and, the player would be

= $444.73 - $80

= $364.73

7 0

2 years ago

What is the center and radius of the circle with equation (x - 2)^2 + (y - 5)^2 = 100?

ololo11 [35]

Answer:
Center = (2,5)
Radius = 10
Choice A

To find this answer, first write the equation
(x-2)^2 + (y-5)^2 = 100
into
(x-2)^2 + (y-5)^2 = 10^2

Note how the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2

We see that (h,k) = (2,5) is the center
and r = 10 is the radius

5 0

2 years ago

Read 2 more answers

What is y= |x + 5| -4

krek1111 [17]

Answer: n = -9 x2 = -1

Step-by-step explanation:

i might be wrong idk that what i got for my answer

7 0

2 years ago

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $30 p

Mkey [24]

First, you need to write to expressions to model each situation:

Plan A: 10+0.15x

Plan B: 30+0.1x

Next, set the expressions equal to each other and solve for x:

10+0.15x=30+0.1x

<em>*Subtract 0.1x from both sides to isolate the variable*</em>

10+0.05x=30

<em>*Subtract 10 from both sides*</em>

0.05x=20

<em>*Divide both sides by 0.05*</em>

x=400

The plans would have the same cost after 400 minutes of calls.

To find how much money the plans cost at 400 minutes, plug 400 into either expression. We'll use Plan A:

10+0.15(400)

10+60

70

The plans will cost $70.

Hope this helps!

3 0

3 years ago