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ANEK [815]
2 years ago
10

Eagle-Eye is a financial house which has two branches; one in Accra and the other in Legos. The year 2021 was a boom financial y

ear for this young company of which the company made net positive return of $250 million. In comparative analysis to determine which of the two markets is more viable, it came out clearly that Accra market is $40 million more than twice the Legos market.
I) Formulate appropriate system of equations for the net financial return in the financial year in question.

II)Express the net return from the two markets as ratio of Accra Market to Legos market in the simplest form
Mathematics
1 answer:
34kurt2 years ago
6 0

The system of equations are:

a + l = 250 million equation 1.

a = 40 million + 2l equation 2

Where:

  • a = profit made in Accra
  • l = profit made in Lagos

The ratio of net return is 18 : 7

<h3>What is the profit made in the Lagos market?</h3>

Substitute for a in equation 1 using equation 2

40 + 2l + l = 250

40 + 3l = 250

3l = 250 - 40

3l = 210

l = 210 / 3

l = 70 million

<h3>What is the profit made in the Accra market?</h3>

Subtract 70 million from 250 million:  250 - 70 = $180 million

The ratio of returns : 180 million : 70 million

18 : 7

To learn more about simultaneous equations, please check: brainly.com/question/25875552

#SPJ1

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WILL GIVE 100 POINTS
padilas [110]

(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

(b) The 35th row has 120 seats

Step-by-step explanation:

The rule of the nth term of an arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a is the the first term
  • d is the common difference between each two consecutive terms

∵ There are 18 seats in the 1st row

∵ There are 21 seats in the 2nd row

∵ 21 - 18 = 3

∵ The number of seats is increased by 3 with each additional row

- The number of seats in each row represents an arithmetic

   sequence because there is a common difference between

   each two consecutive rows

∴ The number of seats in each row formed an arithmetic sequence

∵ The number of seats in the first row = 18 seats

∴ a = 18

∵ The number of seats in a row continues to increase by 3 with each

   additional row

∴ d = 3

- Substitute the values of a and d in the rule of nth term

∴ a_{n}=18+(n-1)3

- Simplify the right hand side

∴ a_{n}=18+3n-3

- Add like terms

∴ a_{n}=15+3n

(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

∵ There are 120 seat in a row

- Substitute a_{n} by 120 in the rule above

∴ 120 = 15 + 3n

- Subtract 15 from both sides

∴ 105 = 3n

- Divide both sides by 3

∴ n = 35

∴ The number of the row is 35

(b) The 35th row has 120 seats

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

6 0
3 years ago
Please help!!!!!!!!!!!
Effectus [21]
I feel like it's everything except for choices b and c. I hope this helps, but I would read them again.
4 0
3 years ago
Colleen recorded the type of trees in the woods near her house.She counted 20 trees and 50 maple trees.What is the experimental
natka813 [3]

Answer: The required probability is \dfrac{8}{125}

Step-by-step explanation:

Since we have given that

Number of spruce tree = 20

Number of maple tree = 50

Total trees = 70

We need to find the experimental probability that the next tree Colleen to get a spruce tree.

So, the probability would be :

(\dfrac{20}{50})^3=(\dfrac{2}{5})^3=\dfrac{8}{125}

Hence, the required probability is \dfrac{8}{125}

5 0
3 years ago
100 points
inna [77]

\huge{ \mathbf{  \underline{ Answer }\:  \:  ✓ }}

The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .

Given terms ( common for each cylinder ) :

  • height (h) = 4 ft
  • radius. (r) = 0.5 ft

\large \boxed{ \mathrm{volume =\pi {r}^{2}  h}}

  • 3.14 \times  \dfrac{1}{2}  \times   \dfrac{1}{2}  \times 4

  • \mathrm{3.14 \: ft {}^{3} }

Since volume of each cylinder is equal, so total volume of six cylindrical post :

  • 3.14 \times 6

  • { \mathrm{18.84 \: ft {}^{3} }}

_____________________________

\mathrm{ ☠ \: TeeNForeveR \:☠ }

3 0
3 years ago
Read 2 more answers
For the figure shown on the right, find the value of the variable and the measures of the angles. PLZ HELP
pychu [463]
P=69 degrees
Q=71 degrees
R=40 degrees

Explanation

All triangles equal up to 180 degrees.
First add all numbers without x.
Then add all xs.

5x+20=180
Subtract 20 from 180

5x=160
Divide 160 by 5

x=40

8 0
3 years ago
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