1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
umka21 [38]
3 years ago
14

Greg buys 60 garden plants at a cost price of $2.00 each to sell in his shop. He sells 25 of them at the profit of 75% and 18 of

them at the profit of 35%. He sells the rest of the plants for 4/5 of the cost price calculate the profit or loss he makes from selling 60 plants stating if it is a profit or loss
Mathematics
1 answer:
fomenos3 years ago
4 0

Answer:

  • $43.30 profit

Step-by-step explanation:

<u>Total cost of plant:</u>

  • 60*2 = 120

<u>Greg makes total of:</u>

  • 25*(2 + 0.75*2) + 18*(2 + 0.35*2) + (60 - 25 - 18)*2*4/5 = 163.3

<u>Since Greg mare than cost, he has a profit and the amount is:</u>

  • 163.3 - 120 = 43.3
You might be interested in
Find the vertex of this parabola. y=-2x+4x+12
katrin [286]

Answer:

(1,14)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Sandy baked 4 1/2 pounds of cookies. She divided the cookies equally among two friends and herself. How many cookies did each pe
suter [353]

Answer:

Each person would get 1 1/2 pounds worth of cookies

Step-by-step explanation:

4 1/2 pounds of cookies divided equally among 3 people

4 1/2 pounds divided by 3 people = 1 1/2 pounds of cookies

Each person gets 1 1/2 pounds of cookies

8 0
3 years ago
What is the correct justification for the indicated steps?
yanalaym [24]

The given proof of De Moivre's theorem is related to the operations of

complex numbers.

<h3>The Correct Responses;</h3>
  • Step A: Laws of indices
  • Step C: Expanding and collecting like terms
  • Step D: Trigonometric formula for the cosine and sine of the sum of two numbers

<h3>Reasons that make the above selection correct;</h3>

The given proof is presented as follows;

\mathbf{\left[cos(\theta) + i \cdot sin(\theta) \right]^{k + 1}}

  • Step A: By laws of indices, we have;

\left[cos(\theta) + i \cdot sin(\theta) \right]^{k + 1} = \mathbf{\left[cos(\theta) + i \cdot sin(\theta) \right]^{k} \cdot \left[cos(\theta) + i \cdot sin(\theta) \right]}

\left[cos(\theta) + i \cdot sin(\theta) \right]^{k} \cdot \left[cos(\theta) + i \cdot sin(\theta) \right] =  \mathbf{\left[cos(k \cdot \theta) + i \cdot sin(k \cdot \theta) \right] \cdot \left[cos(\theta) + i \cdot sin(\theta) \right]}

  • Step B: By expanding, we have;

\left[cos(k \cdot \theta) + i \cdot sin(k \cdot \theta) \right] \cdot \left[cos(\theta) + i \cdot sin(\theta) \right] = cos(k \cdot \theta) \cdot cos(\theta) - sin(k \cdot \theta) \cdot sin(\theta) + i  \cdot \left [sin(k \cdot \theta) \cdot cos(\theta) + cos(k \cdot \theta) \cdot sin(\theta) \right]

  • Step D: From trigonometric addition formula, we have;

cos(A + B) = cos(A)·cos(B) - sin(A)·sin(B)

sin(A + B) = sin(A)·cos(B) + sin(B)·cos(A)

Therefore;

cos(k \cdot \theta) \cdot cos(\theta) - sin(k \cdot \theta) \cdot sin(\theta) + i  \cdot \left [sin(k \cdot \theta) \cdot cos(\theta) + cos(k \cdot \theta) \cdot sin(\theta) \right] = \mathbf{ cos(k \cdot \theta + \theta) + i \cdot sin(k \cdot \theta  + \theta)}

Learn more about  complex numbers here:

brainly.com/question/11000934

4 0
2 years ago
Read 2 more answers
The triangular pyramid has identical equilateral triangles as its faces. Find the surface area of the pyramid. ​
xeze [42]

Answer: B: 140.4

Step-by-step explanation:

8 0
3 years ago
What is 2 - 8x + x - 5
LuckyWell [14K]
-7x-3 is 2 - 8x + x - 5
6 0
3 years ago
Other questions:
  • what is the equation in point-slope form of the line that passes through the point ( -1,,-4) has a slop of a -3​
    7·1 answer
  • What is f(4y)?? with f(x)=-2x-3
    8·1 answer
  • Please answer this correctly
    9·2 answers
  • Polynomial and rational functions can be used to model a wide variety of phenomena of science, technology, and everyday life. Ch
    11·1 answer
  • Bad Bunny o Darell?? <br><br>Freę points​
    10·2 answers
  • Find the area of the kite. please help thank you
    10·1 answer
  • 3(x + 10) + 6 = 3(x + 12)
    5·2 answers
  • write a multiplication equation and a division equation that represents the question how many 3/8 are in 5/4​
    5·1 answer
  • La integral indefinida de la función h(x)=2x+5x4
    12·1 answer
  • Help Me with this ASAp
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!