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marin [14]
3 years ago
8

Which formula can be used to find the ninth term of a geometric sequence where the first term is 8 and the common ratio is -3

Mathematics
1 answer:
telo118 [61]3 years ago
3 0
For a geometric sequence with a first term of "a" and a common ratio of "r", the n-th term is
.. an = a*r^(n-1)

For this problem, you have a = 8, r = -3, and n = 9. Filling these values into the formula gives
.. a9 = 8*(-3)^(9-1)
.. a9 = 8*(-3)^8

_____
a9 = 52,488
You might be interested in
The information given below was extracted from the accounting records of Sunray Traders, a partnership business with Sunny and R
Crank

The preparation of the Profit and Loss Appropriation Account for the year ended February 28, 2022, is as follows:

<h3>What is the Profit and Loss Appropriation Account?</h3>

A profit and loss appropriation account is a special account prepared for the distribution of the partnership's profit and loss for the period.

For Sunray Traders Partnership, the profit and loss appropriation account is detailed below.

<h3>Profit and Loss Appropriation Account</h3>

For the year ended February 28, 2022

                                        Sunny      Raymond       Total

Net Profit for the year                                         R900,000

Interest on capital       R84,000      R24,000    (R108,000)

Annual Salaries         R307,500    R246,000   (R553,500)

Share of profits         R119,250     R119,250  (R238,500)

<h3>Question Completion:</h3>

(c) The partners are entitled to the following monthly salaries from 01 March 2021 to 30 November 2021:

Sunny R25 000 Raymond R20 000

Note: The salaries of the partners were increased by 10% with effect from 01 December 2021.

d) The balance of the profit and loss must be shared equally between Sunny and Raymond.

Prepare the Profit and Loss Appropriation Account for the year ended February 28m 2022.

<h3>Data and Calculations:</h3>

                                              DEBIT        CREDIT

Capital: Sunny                                   R1 000 000

Capital: Raymond                                  600 000

Current a/c: Sunny (01 March 2021)       40 000

Current a/c: Raymond (01 March 2021) 60 000

Drawings: Sunny             R300 000

Drawings: Raymond         400 000

Net profit = R900 000

Sunny's Salaries = R307,500 (R25,000 x 9 + R25,000 x 1.1 x 3)

Raymond Salaries = R246,000 (R20,000 x 9 + R20,000 x 1.1 x 3)

<h3>Capital Accounts Balances:</h3>

                                        Sunny      Raymond       Total

Capital accounts      R1 000 000  R600 000   R1 600 000

Drawings accounts       300 000    400 000        700 000

Net Capital accounts R700 000  R200 000     R900 000

Interest on capital       R 84 000    R24 000       R108 000

Thus, the profit and loss of Sunray Traders Partnership are shared equally as agreed.

Learn more about partnership accounts at brainly.com/question/22693552

#SPJ1

3 0
1 year ago
Use the table to write a linear function that relates y to x .<br><br> y=
nadezda [96]

Answer:

y= -1/4x

Step-by-step explanation:

3 0
3 years ago
Part A- Create a fourth degree polynomial in standard form. How do you know it is in standard form?
Alexeev081 [22]

Answer:

(a)2x^4-9x^3+x^2+x-5

Step-by-step explanation:

(a)The degree of a polynomial is the highest power of the unknown variable in the polynomial.

A polynomial is said to be in standard form when it is arranged in descending order/powers of x.

An example of a fourth degree polynomial is: 2x^4-9x^3+x^2+x-5

We know the polynomial above is in standard form because it is arranged in such a way that the powers of x keeps decreasing.

(b)Polynomials are closed with respect to addition and subtraction. This is as a result of the fact that the powers do not change. Only the coefficients

change. This is illustrated by the two examples below:

(2x^5-3x^2+x)+(3x^5-5x^2)\\=2x^5-3x^2+x+3x^5-5x^2\\=5x^5-8x^2+x\\$Similarly\\(2x^5-3x^2+x)-(3x^5-5x^2)\\=2x^5-3x^2+x-3x^5+5x^2\\=-x^5+2x^2+x

The degrees do not change in the above operations. Only the number beside each variable changes. Therefore, the addition and subtraction of polynomials is closed.

7 0
3 years ago
7
Anton [14]

Answer:

000

Step-by-step explanation:

000

7 0
3 years ago
Pls really need help asapppp
Anit [1.1K]

Answer:

105 sq cm

Step-by-step explanation:

The bottom rectangle is 6 x 15 = 90 sq cm

The triangle at the top has a length of 15 - 9 = 6 cm and a height of 11 - 6 = 5 cm.

A triangle is 1/2bh so 1/2 x 6 x 5 = 15 sq cm

Add the areas together

8 0
3 years ago
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