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Question 15
4 pts
• If you purchased 40 shares of a Vanguard mutual fund at $105 a share two years
ago and the Vanguard mutual fund is currently at $200 a share. Please answer
the four questions below that relate to this investment scenario-
1. What was the total cost of purchasing the 40 shares two years ago?
2. What are the 40 shares of the Vanguard mutual fund currently at?
3. If you sold the 40 shares of the Vanguard mutual fund today - what would
be your profit or loss?
4. What would be your rate of return for selling the 40 shares today?

Answers

Answer 1

Answer:

1.  $4200

2. $8000

3. Profit $3800

4. 90.48% (2 d.p.)

Step-by-step explanation:

40 x 105 = 4200

40 x 200 = 8000

8000 - 4200 = 3800

Rate of Return = (Final Value - Initial Value) divided by Initial Value

(8000-4200) divided by 4200 = 19/21 or 0.9047619048

= 90.48%

Answer 2

Answer:

1. $4,200

2. $8,000

3. $3,800 profit

4. 90.48%

Step-by-step explanation:

QUESTION 1:

The cost of one share two years ago was $105. Since you bought 40 shares, you would have to multiply that price by 40:

[tex]$105*40=4,200[/tex]

That means the total cost of purchasing 40 shares two years ago was $4,200.

QUESTION 2:

One share currently costs $200. Just like with problem 1, since they're asking about all 40 shares, you need to multiply that price by 40.

[tex]200*40=8,000[/tex]

That means that 40 shares is currently valued at $8,000.

QUESTION 3:

Profit or loss is calculated by subtracting the final value by the initial value. In this case, subtracting the current price by the price you originally bought the shares for.

[tex]8,000-4,200=3,800[/tex]

Because it's a positive number, you know that you've made a profit of $3,800 off of 40 shares.

QUESTION 4:

Rate of return is calculated by dividing the profit (or loss) by the original cost:

[tex]3,800/4,200=0.9048[/tex]

Of course, since rate of return is expressed in a percentage, you would need to multiply 0.9048 by 100 and tack a percent sign onto the end, giving you 90.48%. (I rounded the number to the nearest hundredth.)


Related Questions

A number is squared, and then three is added to its square. The result is 228. What is the number?

Answers

Answer:

[(15)(15) + 3] = 225

Step-by-step explanation:

Lori creates the following design for a T-shirt.

Lori found the areas of Triangle 1 and Rectangle 1. Find the areas of the remaining figures.

The area of Rectangle 1 is 8.68 square inches.

The area of Triangle 1 is 6.48 square inches.

The area of Rectangle 2 is ... square inches.

The area of Triangle 2 is ... square inches.

The area of the whole figure is ... square inches.

Answers

The 3rd choice is the answer to this

PLEASE HELP ASAP!!! WILL GIVE BRALIEST!!

Answers

Answer:

Its d!

Step-by-step explanation:The answer is D:)

-8.46 greater or less than 5.31

Answers

Hello.

-8.46 is less than 5.31, because it is negative.

Answer:

-8.46 is less than 5.31

Step-by-step explanation:

-8.46 is a negative number, which is smaller than the positive number 5.31

Positive numbers are always greater than negative numbers.

20 points
The letters in the word "MISSISSIPPI are each written on an index card
and placed in a paper bag. What is the probability of choosing the letter
"S" from the bag? *
4/11
7111
4/7
06/11
Submit

Answers

Answer:

4/11

Step-by-step explanation:

The word "MISSISSIPPI" has 11 letters in it and has 4 "S". So, the probability of you picking a S out of a paper bag would be 4/11.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

A cruise ship travels 20 miles in 50 minutes. How far does the ship travel per minute?

Answers

Use this formula: Speed = Distance/Time

Given in the question:

Distance - 20 miles

Time - 50 minutes

Calculations

Speed = Distance/Time

Speed = 20/50

Speed = 0.4 miles/min

Therefore, the ship travels 0.4 miles per minute.

Hector’s car holds 12.6 gallons of gas. If it cost $3.25 per gallon, how much does it cost for him to his tank?

Answers

Answer:

$40.95

Step-by-step explanation:

Simply multiply 12.6 by 3.25.

Hope that helps!

It will cost him 40.95 per tank

Use the parabola tool to graph the quadratic function f(x)=(x−4)(x+2).

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:

your m

Step-by-step explanation:

f'(x)=2x-2f'(x)=02x-2=0x=1f(1)=(1-4)(1+2)=(-3)(3)=-9vertex: (1,-9)

f(x)=0x=4 & x=-2(4,0) & (-2,0)

3) John has decided to invest his $20,000 in two saving accounts. He decides to invest some of it at 4.5% annual interest and the rest of it at 2.5% annual interest. After one year, his total interest from both accounts is $750. How much did he invest in each account?

Answers

The amount he invested in the account that yields 4.5% interest is $7,500.

The amount he invested in the account that yields 2.5% interest is $12,500.

What is the system of equations that represent the question?

a + b = $20,000 equation 1

0.045a + 0.025b = $750 equation 2

Where:

a = amount he invested in the account that yields 4.5% interest

b = amount he invested in the account that yields 2.5% interest

How much was invested in the account that yields 4.5% interest?

Multiply equation 1 by 0.025

0.025a + 0.025b = 500 equation 3

Subtract equation 3 from 2

250 = 0.02a

a = 12,500

How much was invested in the account that yields 4.5% interest?

Subtract 12,500 from 20,000

20,000 - 12,500 = $7,500

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


I need this fast pls

Answers

w ≥ 652.5

On 652.5, plot a closed point to the right.

Answer:

w ≥ 652.5- (B, the second choice)

Step-by-step explanation:

To graph, you would put a closed dot on 652.5

:) Hope this helped

Have a wonderful day

I know math isn't always easy, but you will get through this!

3. Find the least number should be subtracted 9240 to make perfect square.

Answers

24

Find the square root of 9240 = 9240 = 96.125... now, take the whole number in the square root of 9240 which is 96 and now square this number so, 96² = 9216. Take the 9216 and subtract it from 9240 which is 24.

q(a+1) - 2q(a) if q(x) = x²+3x+4​

Answers

[tex]q(x) = {x}^{2} + 3x + 4 [/tex]

_________________________________

Step(1)

To find q(a) we just need to put a instead of x in q(x) function.

Let's do it...

[tex]q(a) = {a}^{2} + 3a + 4 [/tex]

Multiply sides by -2 :

[tex] - 2q(a) = - 2( {a}^{2} + 3a + 4) [/tex]

[tex] - 2q(a) = - 2 {a}^{2} - 6a - 8 [/tex]

_________________________________

Step (2)

To find q(a+1) we just need to put a+1 instead of x in q(x) function.

Let's do it...

[tex]q(a + 1) = ({a + 1})^{2} + 3(a + 1) + 4 \\ [/tex]

[tex]q(a + 1) = {a}^{2} + 2a + 1 + 3a + 3 + 4 \\ [/tex]

[tex]q(a + 1) = {a}^{2} + 5a + 8 [/tex]

_________________________________

Step (3)

[tex]q(a + 1) - 2q(a) = [/tex]

[tex] {a}^{2} + 5a + 8 - 2 {a}^{2} - 6a - 8 = \\ [/tex]

[tex] - {a}^{2} - a = - a(a + 1)[/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

The expression for q(a+1) - 2q(a) is -a² - a

Given the expression q(x) = x²+3x+4​

First, we need to get the function q(a+1)

q(a+1) =  (a+1)²+3(a+1)+4​

Expand

q(a+1) = a² + 2a + 1 + 3a + 3 + 4

q(a+1) = a² + 5a + 8

For the function q(a)

q(a) = a²+3a+4​

2q(a) = 2(a²+3a+4​)

2q(a)= 2a² + 6a + 8

Taking the difference:

q(a+1) - 2q(a) = a² + 5a + 8 - ( 2a² + 6a + 8)

q(a+1) - 2q(a)  = a² + 5a + 8 -  2a² - 6a - 8

q(a+1) - 2q(a)  = -a² - a

Hence the expression for q(a+1) - 2q(a) is -a² - a

Learn more here: https://brainly.com/question/17581815

I WILL GIVE BRAINLIEST PLEASE HELP

This scatter plot shows hot drink sales and outside temperature above 0 °F. The equation represents the linear model for this data.

y=−12x+50

According to the model, how many hot drinks are sold when the temperature is 0 °F?

Answers

Answer:

50

Step-by-step explanation:

A chef trimmed fat off a steak and was left with a steak a weighing 8.80 ounces. If the weight of the fat was equal to 12 percent of the original weight, what was
the original weight, in ounces, of the steak?

Answers

Answer:

10.00

Hope it helps!!!brainliest pls!!!

A loaf of bread costs Rs.0.79 today. If its price increases by 6% per year, how much will an equivalent loaf cost in 20 years?

Answers

Answer:

.79x(.06x20)=.948

round up to .95

Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. The price of the loaf of bread after 20 years will be 2.53.

What is compounding?

Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. And this continues for t period of time.

It is given by the formula,

A = P(1+r)ⁿ

where A is the value after n period of time, P is the initial amount, and,

r is the rate of increment or decrement.

Given that a loaf of bread costs Rs.0.79 today, and its price increases by 6% per year. Therefore, the price of bread will increase every year by 6% of the previous year's cost. Thus, it can be concluded that the price increases compounding.

Therefore, the equivalent loaf cost in 20 years will be,

Cost of the loaf after 20 years = 0.79(1+0.06)²⁰

                                                   = 0.79(3.2071)

                                                   = 2.53

Hence, the price of the loaf of bread after 20 years will be 2.53.

Learn more about Compounding here:

https://brainly.com/question/25857212

#SPJ2

Find the area of a square with side length of 3 inches.

Answers

Answer:

A = 9 sq inches

Step-by-step explanation:

Area of a square:

A = l × w OR s^2

A = 3 × 3 = 3^2

A = 9 sq inches

Help pleaseeeee.....!!!!!!!

Answers

Answer:

30-60-90shortest leg is always x ; longest leg is always x√3 ; hypotenuse is always 2xhypotenuse = 28 inches = 2x = 2(14)shortest leg = x = 14longest leg = x√3 = 14√3The exact length and width of the tv would be 14 inches and 14√3 inches.

Step-by-step explanation:

mark me brainliest!!

Answer: A

Step-by-step explanation:

Let the length side of the TV = a

The width of the TV = b

The diagonal of a TV = c

In a 30-60-90 right triangle,

We have cos(30°) = [tex]\frac{\sqrt{3}}{2}[/tex] and sin(30°) = [tex]\frac{1}{2}[/tex]

Given that c = 28 inches:

sin(30°) = [tex]\frac{b}{c}[/tex]

[tex]\frac{1}{2} = \frac{b}{c}[/tex]

[tex]b = \frac{1}{2} \times 28 = 14[/tex]

That is, the width of the TV = 14 inches

cos(30°) = [tex]\frac{a}{c}[/tex]

[tex]\frac{\sqrt{3}}{2} = \frac{a}{c}[/tex]

[tex]a = \frac{\sqrt{3}}{2} \times 28 = 14\sqrt{3}[/tex]

That is, the length of the TV = 14√3 inches

So the exact width and length of the TV are 14 inches and 14√3 inches.

Therefore, option A is the correct answer

Which set of angles are corresponding angles?
A) 1 and 5
B) 1 and 4
C) 2 and 4
D) 3 and 5

Answers

Answer:

Step-by-step explanation:

A) 1 and 5 are corresponding angles.

Answer:

Option A: 1 and 5

Step-by-step explanation:

The correct answer is 1 and 5, option A.

list two numbers that have the same value as 34 divided 3​

Answers

Answer:

89/8

99/9

Step-by-step explanation:

34/3 =11.33


PLEASE HELP ASAP!!!

Match the graph with the correct equation.

A. y+1= -1/4 (x+5)
B. y-1= -4 (x+5)
C. y-1= -1/4 (x+5
D.y-1= -1/4 (x-5)

Answers

Answer:

Step-by-step explanation:

If the m 4 = 12x - 10 and m5 is 10x + 10. Find the value of x.

Answers

The value of x = 10

12x - 10 = 10x + 10
2x = 20
x = 10

Which equation is equivalent to the given equation?
HELP

Answers

C.(x-3)^2=17

STEP-BY-STEP-EXPLANATION
X^2-6x=8
X^2-6x+9-9=8
X^2-6x+9=17
(X-3)^2=17

HELP PLEASE I will give brainliest

Answers

Answer:

1 and 4/15

Step-by-step explanation:

Answer:

1 4/15

Step-by-step explanation:

simple subtracting

How is the product of 4 and 2 shown using integer tiles?
+
+
+
+
+
+
+
+
+
+
+
+
+
-
JE

Answers

+ + + + + +
4 is positive or + and so is 2
hope it helps

PLEASE HELP!!!! I will mark braineist
the following sentence. states, Americans looking for more land and resources left their homes. Which sentence is edited correctly?

The text states, “Americans, looking for more land and resources, left their homes."

The Text states Americans looking for more land and resources left their homes.

The text states “Americans, looking for more land, and resources left their homes."

The text states, "Americans look for more land and resources left their homes".​

Answers

Step-by-step explanation:

The first sentence makes the most sense since they used quotations to state what was mentioned in the text, and the punctuations/commas/point are placed correctly.

50 points find x
Please help

Answers

Answer:

x = 17

Step-by-step explanation:

The dash on each side means that all side lengths are equal in length.

Therefore, the shape shown is a regular polygon (hexagon).

Exterior angle of a regular polygon = 360 ÷ number of sides

⇒ Exterior angle of a regular hexagon = 360 ÷ 60 = 60°

Therefore,

4x - 8 = 60

Add 8 to both sides:

⇒ 4x = 68

Divide both sides by 4:

⇒ x = 17

A rental car company charges $40 per day to rent a car and $0.06 for every mile driven. Aaden wants to rent a car, knowing that:
He plans to drive 100 miles.
He has at most $130 to spend.

Write and solve an inequality which can be used to determine xx, the number of days Aaden can afford to rent while staying within his budget.

Answers

We know that it costs $0.06 for every mile driven and we plan to drive 100 miles, that means we can set the inequality as:


40x + 0.06(100) ≤ 130


40x + 6 ≤ 130


Rearranging the inequality so we have the variable alone on one side, we get:


40x ≤ 124


Divide both sides by 40 to get x alone.


x ≤ 3.1


Solution: Aaden can afford to drive the car for 3 days and stay under his budget.

Calculate the Social Security and Medicare tax that would be applied to an annual salary of $35,400,
a. Social Security tax: $2,194.80, Medicare tax: $513.30
b. Social Security tax: $21,948.00, Medicare tax: $5,133.00
C Social Security tax: $6,621.60, Medicare tax: $513.30
d. Social Security tax: $66,216.00, Medicare tax: $5,133.00

Answers

Answer:

the answer is A)Social Security tax: $2,194.80, Medicare tax: $513.30

Step-by-step explanation:

The Social Security and Medicare tax that would be applied to an annual salary of $35,400 is: a. Social Security tax: $2,194.80, Medicare tax: $513.30.

Social Security tax and Medicare tax:

Social security tax rate is 6.2% of the annual salary while Medicare tax rate is 1.45% of the annual salary.

Hence:

Social security tax=6.2%×$35,400

Social security tax=$2,194.80

Medicare tax=1.45%×$35,400

Medicare tax=$513.30

Inconclusion the Social Security and Medicare tax that would be applied to an annual salary of $35,400 is: a. Social Security tax: $2,194.80, Medicare tax: $513.30.

Learn more about Social security and Medicare tax here:https://brainly.com/question/1899088

There are (bananas, pears, and peaches in a bag. One eighth of the fruits are pears. One half are bananas. Are there more pears or bananas? ​

Answers

Answer:

The answer would be that there are more bananas than pears

Step-by-step explanation:

Well, if we were to put the fractions into decimal form 1/8 would be .125 and if we put 1/2 into decimal it would be 0.5 or in this case .500

And since .500>.125 that shows that there are more bananas than pears in the bag, and the other 3/8 are peaches.

Johnny Drive 150 miles in 3 hours. What is the unit rate​

Answers

Answer:

50 mph

Step-by-step explanation:

r = d/t

r = 150/3 = 50

Answer:

1 hour = 50 Miles therefore 3 hours × 50 miles = 150 miles×per hour.

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