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Alexeev081 [22]
2 years ago
10

Help please! Will give brainliest!!

Mathematics
2 answers:
ASHA 777 [7]2 years ago
6 0

Refer to the attachment

MakcuM [25]2 years ago
4 0

Answer:

  • $714

Step-by-step explanation:

<u>Given:</u>

  • A = 9000
  • i = 8.2% or 0.082  
  • n = 9  
  • d = ?

<u>Use the given formula and find d:</u>

  • A=d(\frac{(1+0.082)^9-1)}{0.082})
  • 9000=d*12.6
  • d=9000/12.6
  • d=714
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the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t
777dan777 [17]

Answer:

  • ratio: 2/3
  • sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

  an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

  a2 = a1·r^(2-1) = a1·r

  a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

  a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

  r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

  a2 = 18 = a1·(2/3)

  a1 = (3/2)·18 = 27

__

The sum of the first 6 terms is ...

  Sn = a1·(r^n -1)/(r -1)

  S6 = 27·((2/3)^6 -1)/(2/3 -1)

  S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

<em>Check on the sum</em>

The first 6 terms are ...

  27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

8 0
3 years ago
Gabrielle is baking large batches of brownies and cookies to share with her friends and family. Among other ingredients, her bro
USPshnik [31]

The system of inequalities can model Gabrielle’s situation is;

x + 2y ≤ 20

x + 2y ≤ 203x + 2y ≤ 21

<h3>Inequality</h3>

It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.

By setting variables as follows;

  • batches of brownies = x
  • batches of cookies = y

Brownie:

Sugar = 1 cup

Eggs = 2

Cookie:

Sugar = 3 cups

Eggs = 2

x + 2y ≤ 20

x + 2y ≤ 203x + 2y ≤ 21

Learn more about inequality:

brainly.com/question/25275758

#SPJ1

5 0
2 years ago
SOMEONE PLEASE HELP ASAP!!!!!
Margaret [11]

Answer:

<em>x = 1</em>

<em>y = 1</em>

Step-by-step explanation:

<u>System of Equations</u>

We are given the system of equations:

2x + y = 3

x = 2y - 1

Substituting x in the first equation:

2(2y - 1) + y = 3

Operating:

4y - 2 + y = 3

5y = 3 + 2

y = 5/5 = 1

y = 1

Since:

x = 2y - 1

Then:

x = 2(1) - 1

x = 1

Solution:

x = 1

y = 1

7 0
3 years ago
Taylor wants to read 2 books. One book has 232 pages and the other has 184 pages. She needs to return the books to the library i
dalvyx [7]

i think you add 232 and 184 then divide by 13.

Hope this helps!


5 0
3 years ago
Consider the following.
zhuklara [117]

Answer:

The slope is -5/6

Step-by-step explanation:

To find the slope of a line given two points, we use the formula

m= (y2-y1)/(x2-x1)

  = (-1-4)/(4--2)

  =-5/(4+2)

  =-5/6

3 0
3 years ago
Read 2 more answers
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