Amy invested in three companies: 1400 dollars for Apple, 1900 dollars for Google and 1700 dollars for Starbucks. Over the course of one year, she found that Apple went down 4 percent, Google went up 5 percent and Starbucks went up 3 percent. What is the average change in her portfolio?

Answers

Answer 1

Loss in apple [tex]=1400\times \dfrac{4}{100}= 56[/tex]

Present value = 1400 - 56 = $1344 .

Loss in google [tex]= 1900\times \dfrac{5}{100}=95[/tex]

Present value = 1900 + 95 = $1995 .

Loss in Starbucks [tex]=1700\times \dfrac{3}{100}=51[/tex]

Present value = 1700 + 51 = $1751 .

Total investment , T = 1400 + 1900 + 1700 = $5000 .

Gain , G = 56 + 95 + 51 = $202 .

% increase [tex]=\dfrac{202}{5000}\times 100 = 4.04 \%[/tex]

Hence , this is the required solution .


Related Questions

A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 3/5 of what remained. How many copies does the bookstore have left?

Answers

Answer: 8 copies

Step-by-step explanation:

1/3 of 60 is 20. 1/5 of 40 is 8. 8x3=24, 40-24=16

Answer is 16
1/3 or 60 is 20 so they sold 20 and had 40 left over 1/5 of 40 is 8 8*3= 24 40-24=16

Using the distance formula, find the distance between these two points. Round to the nearest tenth. (8,9) and (3,2)

Answers

Answer:

The answer is

8.6 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8,9) and (3,2)

The distance between them is

[tex]d = \sqrt{( {8 - 3})^{2} + ( {9 - 2})^{2} } \\ = \sqrt{ {5}^{2} + {7}^{2} } \\ = \sqrt{25 + 49} \\ = \sqrt{74} \: \: \: \: \: \: \: \: \: \: \\ = 8.60232...[/tex]

We have the final answer as

8.6 units to the nearest tenth

Hope this helps you

Can somebody help and crAck the code this is 100 points if you get it right your are gonna be the brainliest

Answers

Answer:

RECORD TIME

Step-by-step explanation:

RECORD TIME

Answer:

record time

Step-by-step explanation:

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Which of the following sets of numbers does square root of 49?

Answers

Answer:

7

Step-by-step explanation:

Natural numbers , Real numbers ,Whole numbers ,Integers , Rational numbers

sqrt(49) = 7

So this number is in the set of...

Natural numbersWhole numbersIntegersRational numbersReal numbers

The set of natural numbers is {1,2,3,...} and the set of whole numbers is {0,1,2,3,...}. Basically we just added in 0. Integers will be similar but we now have negative values too {..., -3, -2, -1, 0, 1, 2, 3, ...}

Rational numbers are anything of the form a/b with a,b being integers. In other words, if we can write the number as a fraction of two integers, then we have a rational number. In the case of 7, we have 7 = 7/1, so it is rational.

The set of real numbers includes every number type you have learned of so far (natural, whole, integer, etc). If you haven't learned about imaginary or complex numbers yet, then every number your teacher will go over is a real number.

What is the density of Iron Ore (Hematite)? Mass = 30g: Volume = 3.02
cubic cm. Round to TWO decimal places.

Answers

Answer:

9.93g/cb cm

Step-by-step explanation:

Density = mass/volume

= 30g/3.02cb cm

= 9.93g/cb cm

What is the value of the expression |5x+12| when x=5

Answers

Answer:

|5x+12| when x=5

I5*5=12I

I37I

37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

X=5

5x=(5×5)=25

25+12=37

Vishal was interested in the relationship between a person's age and their musical preferences. He called all
the numbers listed in his city's telephone directory, and whenever someone answered and agreed to be
surveyed, he asked them for their age and interviewed them about their musical preferences.
Once he was done, he analyzed his results and found that younger people prefer pop and hip-hop music
while older people prefer jazz and classical music.
What type of statistical study did Vishal use?
Choose 1 answer:
Sample study
Experiment
Observational study

Answers

Answer:

Sample study

Step-by-step explanation:

Sample study is a type of statistical study that is done by taking samples from respondents for any research purpose.

In this type of statistical study, a group of people are selected and asked some questions or data collected.

The type of statistical study that Vishal used was Sample Study because he collected data from a group of respondents to arrive at a hypothesis.

Vishal study of relationship between people's age & musical preferences is 'Observational Statistical Study'

Given : Vishal approached all people in city, enquired willing ones about age & musical preferences, & analysed conclusion thereafter.

Vishal used Observational Statistical Study, as :

Sample study denotes - component step of choosing few representatives ie sample units from all ie population units. It is a part of all statistical studies, & not a type of study in itself. Observational Study - involves studying the sample units in natural uncontrolled or un intervened setup , based on the variable/ traits or relationship study needed by nature of study. Experimental Study - involves studying & analysing variables traits or relationships, in manipulated, controlled or artificially treated experiment setup.

Vishal collects sample from his city & studies them as it is, without any artificial intervention. Hence this natural enquiry based study of age & musical preferences is Observational Study

To learn more, refer https://brainly.com/question/10025402?referrer=searchResults

Have some points, i have to put in a question anyway to be "Part of The Community"

Answers

Answer:

yay!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

:)

Step-by-step explanation:

thanks! have a nice day!

7(-8)-2y=-52







help...

Answers

Answer:

y=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

7x - 2y = -52

7(-8) - 2y = -52

-56 - 2y = -52

-2y = 4

y = -2

Best of Luck!

Determine whether the following graph represents a function.

A.function
B. Not function

Answers

b i think...

lmk if it's wrong, if it is i'm sooooo sorry!!

:)

i need help please answer quickly this is due tomorrow

Answers

Step-by-step explanation:

elsian 69 pls help me with my latest question i will gove u anything u want pls its due today i am so stuck

Answer:  see below

Step-by-step explanation:

Graph the points and rotate the graph as follows:

90° = 1 turn left180° = 2 turns left (or right)270° = 3 turns left (or 1 right)

or use the following formulas:

90°:  (x, y) → (-y, x)180°: (x, y) → (-x, -y)270°: (x, y) → (y, -x)

1) 180°: (x, y) → (-x, -y)

       D: (1, 4) → (-1, -4)

       E: (7, 6) → (-7, -6)

       F: (8, 3) → (-8, -3)

       G: (2, 1) → (-2, -1)

2) 270°: (x, y) → (y, -x)

       L: (1, 6)  → (6, -1)

       M: (8, 7) → (7, -8)

       N: (5, 2) → (2, -5)

3)  90°: (x, y) → (-y, x)

       Q: (2, 6) → (-6, 2)

       R: (5, 7) → (-7, 5)

       S: (7, 3) → (-3, 7)

       T: (1, 1)  → (-1, 1)

4) 180°: (x, y) → (-x, -y)

       D: (3, 0) → (-3, 0)

       E: (6, 1) → (-6, -1)

       F: (7, -4) → (-7, 4)

       G: (1, -6) → (-1, 6)

     

Tracey paid $165 for an item that was originally priced at $450. What percent of the original price did Tracey pay? Round your percentage answer to two decimal places.

Answers

Answer:

36.67%

Step-by-step explanation:

To find the percent, divide 165 by 450 (part over whole) and multiply by 100

(165/450) x 100

= 36.67

So, Tracey paid 36.67% of the original price

The dot plot shows the number of touchdowns a football team scored in 10 games

Answers

Answer:

Step-by-step explanation:

5

-56.5 as a mixed number

Answers

Answer:

-56 1/2

Step-by-step explanation:

Answer:

-5.6

Step-by-step explanation:

Does someone have this kind of problem?

Answers

Answer:

Yes :<

Step-by-step explanation:

Hmm.. maybe f-1 (x) has a y-intercept of (0,-36).

Find the general solution of the homogeneous system below. Give your answer as a vector.
x1 + 2x2 - 3x3 = 0
4x1 + 7x2 - 9x3 = 0
-x1 - 3x2 + 6x3 = 0

Answers

Answer:

Step-by-step explanation:

Given the system of homogeneous equations

x1 + 2x2 - 3x3 = 0  ................. 1

4x1 + 7x2 - 9x3 = 0 ................... 2

-x1 - 3x2 + 6x3 = 0..................... 3

First we will reduce the equation to two equations and two unknowns;

add equation 1 and 3;

2x2-3x2 +(-3x3+6x3) = 0

-x2 + 3x3 = 0

x2 = 3x3 .......... 4

Multiply equation 3 by 4 and add to equation 2;

equation 3 * 4 will give;

-4x1 - 12x2 + 24x3 = 0..................... 5

add equation 5 to equation 2;

7x2-12x2-9x3+24x3 = 0

-5x2 - 15x3 = 0 .......... 6

5x2 = 15x3

x2 = 3x3

Let x2 = k

From equation 4;

k = 3x3

x3 = k/3

substitute x2 = k and x3 = k/3 into equation 1 to get x1 in terms of k

From 1, x1 + 2x2 - 3x3 = 0

x1+2k-3(k/3) = 0

x1 +2k-k = 0

x1 +k = 0

x1 = -k

Writing the answer in vector form will give (x1. x2. x3) = (-k, k, k/3)

k(-1, 1, 1/3)

Hence the answer to the system of equation in vector form is k(-1, 1, 1/3) where k is any constant.

Help me please I do not understand this question

Answers

Answer:

<KNM = 131

Step-by-step explanation:

<KNM + <MNJ= 180 so,

8x - 5 + 4x - 19 = 180-----> collect like terms----> 12x - 24 =180-----> add 24 on each side----> cancels out on the left-----> 12x = 204-----> divide by 12 on each side-----> x = 17------> plug in-----> < KNM = 8(17)-5 ---> <KNM = 131

Did this help?!?!?

make the numbers from 1 to 20 using the numbers 1 9 8 4​

Answers

Answer:

9-1+8+4

Step-by-step explanation:

9-1=8

use that 8 and add the other 8 to make 16

now add the 4. 16+4=20

Answer:

1, 4, 8, 9, 11, 14, 18, 19

What temperature is 24° warmer than-12 °C?

Answers

Answer:

12 °C

Step-by-step explanation:

x = -12 + 24x = 12 °C

12 °C is 24°C warmer than -12°C

Please help quick !!!!!! Simplify 6(x + 4).

Answers

Answer:

6(x + 4)

opening brackets

=6x+24 is the answer

Step-by-step explanation:

round 6893.209 to the nearest whole number

Answers

Answer:

6893

Step-by-step explanation:

Answer:

6893 is the nearest whole number

Which choice correctly expresses the number below in the scientific notation?

Answers

i’m pretty sure the answer is D
A) 9.98 x 10^-8 is the answer

5
Quita bought a jacket priced at $88. The sales tax rate on the jacket was 7.5%.
How much was the sales tax in dollars and cents on this jacket?

Answers

I’m honestly not sure but it could be right
The answer I got is &6.60

For what value of the variable will the expression 2b−3 be equal to the following: −11

Answers

To find the value b that makes the expression equal to -11, set up an equation: 2b – 3 = -11. Add 3 to both sides:
2b -3 +3 = -11 +3. Now you’re left with 2b = -8 .
Now divide 2 to both sides: 2/2 b = -8 / 2.
b = -4. Hope that helps

Solve 5x - 4< 2x + 5. Enter your answer as an inequality.

Answers

Answer:

x < 3

Step-by-step explanation:

5x - 4 < 2x + 5

Subtract 2x from both sides

5x - 4 - 2x < 2x + 5 - 2x

5x - 2x - 4 < 2x - 2x + 5

3x - 4 < 0 + 5

3x - 4 < 5

Add 4 to both sides

3x - 4 + 4 < 5 + 4

3x < 9

Divide both sides by 3

3x/3 < 9/3

x < 3

Does anyone know how to figure this out? can you please explain it to me?

Answers

Answer:

x=108'

y=25'

Step-by-step explanation:

180 = 72+x

so,

x = 180-72

  = 108'

x = 5y-17 ( but we know x is 108')

so 108 = 5y -17

108+17 = 5y

5y = 125

y = 25

Answer:

x = 108 degree

y = 25 degree

Step-by-step explanation:

You can use law of transversal to get these

Cameron bought a used car for $4,500. He made a down payment of $1,200 and agreed to pay the remaining balance in monthly payments of $300 each.


Which equation can be used to find m, the number of months it will take Cameron to pay off his car? (7.10A)


F 4,500 = 1,200 + 300m
F 4,500 = 1,200 + 300m

G 4,500 = –300 + 1,200m
G 4,500 = –300 + 1,200m

H 4,500 = 300 + 1,200m
H 4,500 = 300 + 1,200m

J 4,500 = 1,200 – 300m
J 4,500 = 1,200 – 300m

Answers

Answer:

[tex]4500 = 1200 + 300m[/tex]

Step-by-step explanation:

Given

[tex]Total = 4500[/tex]

[tex]Base\ Amount = 1200[/tex]

[tex]Payment = 300[/tex] monthly

Required

Write an expression to determine the number of months

The total can be expressed using:

[tex]Total = Base\ Amount +Payment * Number\ of\ months[/tex]

Substitute value for each term

[tex]4500 = 1200 + 300 * m[/tex]

[tex]4500 = 1200 + 300m[/tex]

Hence:

Option F answers the question

Which one of these is ordered from greatest to least?


A: -6.5, -4/5, 1/2, 4.25

B: -6.5, 4.25, -4/5, 1/2

C: 4.25, 1/2, -4/5, -6.5

D: 4.25, -4/5, 1/2, -6.5

HELLPPP! ASAPP

Answers

Answer:

the answer would be C :)

Suppose LCM(a,b) = 20160, a=60. Find the smallest possible value of b.

Answers

Answer:

see below

Step-by-step explanation:

given:

LCM(a,b) = 20160, a=60

find:

smallest possible value of b

solution;

60, b = 20,160

b = 20,160 / 60

b = 336

60 x 336 = 20,160

= 2⁶ x 3² x 5 x 7

= (2² x 3 x 5) x (2⁴ x 3 x 7)

= (60) x (336)

LCM(60,336) = 1680

consider the 2² x 3 to get the prime number:

= 336 x 12

= 4032

therefore,

LCM(60,4032) = 20160

The smallest possible value of b is 336.

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We have been given that

LCM(a,b) = 20160 and  a = 60

We have to determine the smallest possible value of b

Since the product of two numbers equals the product of their HCF and LCM.

⇒ 60 × b = 20,160

⇒ b = 20,160 / 60

⇒ b = 336

⇒ 60 × 336 = 20,160

We need to write 20160 as the product of its prime factors, which is 20160.

⇒ 2⁶ × 3² × 5 × 7

⇒ (2² × 3 × 5) x (2⁴ × 3 × 7)

⇒ (60) × (336)

⇒ LCM(60,336) = 1680

Therefore, the smallest possible value of b is 336.

Learn more about the Prime Factorization here:

brainly.com/question/4184435

#SPJ2

simplify 5-(-1) Quickly answer pls

Answers

Answer:

5-(-1)

5+1

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

5-(-1)

5+1

= 6

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