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
attashe74 [19]
3 years ago
14

Luc Do purchased stocks for $6,000. He paid $4,000 in cash and borrowed $2,000 from the brokerage firm. He bought 100 shares at

$60.00 per share ($6,000 total). The loan has an annual interest rate of 8 percent. Six months later, Luc Do sold the stock for $65 per share. He paid a commission of $120 and repaid the loan. What was the net profit?
Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0

Answer:His net profit is $300

Step-by-step explanation:

Total amount borrowed is $2000. The loan has an annual interest rate of 8 percent. It was borrowed for only six months. This amount of interest paid will be determined using the simple interest formula,

I = PRT/100

Where

P = principal = $2000

R = rate = 8%

T = time = 6 months = 0.5 years

I = interest

I = (2000× 8 × 0.5)/100 = 80

The interest that will be paid for $2000 is $80

Total amount paid back is 2000 + 80 = $2080

He bought 100 shares at $60.00 per share and the total is $6,000

He sold the stock for $65 per share. This means that the total amount for which he sold the stock is 65×100 = $6500.

To determine his profit, we would subtract the total amount paid back due to the loan, the commission and his initial cash from the total amount recovered from selling his stock.

It becomes

6500 - ( 2080 + 120 + 4000)

= 6500 - 6200 = 300

His net profit is $300

You might be interested in
If f(x)=3x^2-5 and g(x)=-2x+5, then f(3)g(3)=
Vladimir [108]

Answer:

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

+

g

)

(

x

)

=

3

x

2

−

x

+

5

+

2

x

−

3

Add like terms:

(

f

+

g

)

(

x

)

=

3

x

2

+

(

−

x

+

2

x

)

+

(

5

−

3

)

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

+

g

)

(

x

)

=

3

x

2

−

x

+

5

+

2

x

−

3

Add like terms:

(

f

+

g

)

(

x

)

=

3

x

2

+

(

−

x

+

2

x

)

+

(

5

−

3

)

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Explanation:

(

f

+

g

)

(

x

)

=

f

(

x

)

+

g

(

x

)

:

(

f

+

g

)

(

x

)

=

3

x

2

−

x

+

5

+

2

x

−

3

Add like terms:

(

f

+

g

)

(

x

)

=

3

x

2

+

(

−

x

+

2

x

)

+

(

5

−

3

)

(

f

+

g

)

(

x

)

=

3

x

2

+

x

+

2

Step-by-step explanation:

5 0
3 years ago
The question is below thanks
Paha777 [63]

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

2rπ

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

\frac{angles}{360}=\frac{arc}{circumference}

Substitute in the given information and solve;

\frac{82}{360}=\frac{arc}{14pi}

arc = \frac{41}{180}*14pi

arc = \frac{287}{90}*pi

arc ~ 10.02

3 0
3 years ago
If the volume of the pyramid shown is , what is the area of its base?
svet-max [94.6K]

Answer:36 square inches

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1.
Yanka [14]

Answer:

6 units down

Step-by-step explanation:

Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.

If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0

Given that the parent function is an absolute value represented by:

y = |x|

Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down

7 0
3 years ago
Given the Arithmetic series A1+A2+A3+A4 7 + 11 + 15 + 19 + . . . + 91 What is the value of sum?
aivan3 [116]

Answer:

The value of the sum is 1078

Step-by-step explanation:

* Lets revise how to find the sum of the arithmetic series

- In the arithmetic series there is a constant difference between each

 two consecutive terms

- Ex:

# 4 , 9 , 14 , 19 , 24 , .......... (+ 5)

# 25 , 15 , 5 , -5 , -15 , .......... (-10)

- So if the first term is a and the constant difference between each two

  consecutive terms is d, then

  U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , ..........

- Then the nth term is Un = a + (n - 1)d

- The sum of n terms is Sn = n/2[a + L] , where L is the last term in

 the series

* Lets solve the problem

∵ The arithmetic series is 7 + 11 + 15 + 19 + ......................... + 91

∴ The first term (a) is 7

∴ The last term is (L) 91

- Lets find the constant difference

∵ 11 - 7 = 4 and 15 - 11 = 4

∴ The constant difference (d) is 4

- Lets find the sum of the series from 7 to 91

∵ Sn = n/2[a + L]

∵ a = 7 and L = 91

∴ Sn = n/2[7 + 91]

- We need to know how many terms in the series

∵ L is the last term and equals 91 lets find its position in the series

∵ Un = a + (n - 1)d

∵ a = 7 , d = 4 and Un = 91

∴ 91 = 7 + (n - 1)(4) ⇒ subtract 7 from both sides

∴ 84 = (n - 1)(4) ⇒ divide both sides by 4

∴ 21 = n - 1 ⇒ add 1 to both sides

∴ n = 22

∴ The number of the terms in the series is 22

- Lets find the sum of the 22 terms (S22)

∴ S22 = 22/2[7 + 91]

∴S22 = 11[98] = 1078

* The value of the sum is 1078

4 0
3 years ago
Other questions:
  • What is the perimeter of the triangle expressed as a polynomial?​
    9·2 answers
  • What is the sum or difference 2/3(7w+4) - 1/3(2w-1)
    8·1 answer
  • Determine whether the pair of equations represent parallel lines, perpendicular lines, or neither.
    7·1 answer
  • Gail practices swimming for 1» hours every day. How much time does she practice in a week? In 5 weeks? HELPP
    6·1 answer
  • A painting has an area of 108 square inches. The dimensions of the painting are 12 and x + 3. What is the perimeter of the paint
    12·2 answers
  • The figure is not drawn to scale.
    10·2 answers
  • Easy question, easy points
    13·1 answer
  • In the figure wx = wy. find a b c
    6·1 answer
  • Write the equation of the line that passes through the points (-2,9) and (2,6). Put your answer in fully simplified point-slope
    6·1 answer
  • MATH
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!