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

Answer the following questions using the table below.
-2
-1
0
-10
-8
-6
-4
1
Is this a linear function?
<
What is the slope?
h
What is the y-intercept?
What is the equation of the linear function?

Answers

Answer:

the - are the x or y

Step-by-step explanation:

Find the missing length, X.
Find the missing length

X= [ ] in

Answers

33 in corresponds with the 11 in side

33 in / 11 in = 3

The scale factor is 3

24 in / 3 = 8 in

x = 8 in

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides will be in same ratio.

[tex]\frac{33}{11}=\frac{24}{x}[/tex]

Cross multiply,

33*x = 24 * 11

[tex]x=\frac{24 *11}{33}\\\\x=\frac{24*1}{3}\\\\x = 8 in[/tex]

PLEASE HELP I SUCK AT MATH I APPRECIATE IT❤️❤️

Answers

Answer:

1 term 3x²

two term  x+8,  3x³ +5x²

3 term 2x²+x-3

Step-by-step explanation:

Write -0.35 as a mixed number in simplest form

Answers

Step-by-step explanation:

[tex] \huge - 0.35 = - \frac{35}{100} = - \frac{7}{20} [/tex]

distribute the money £423 in the ratio 1 : 2 : 3

Answers

Answer:

see below

Step-by-step explanation:

will make short and  simple

$423 in the ratio 1 : 2 : 3

420 / 6 = 70

1 * 70 = 70

2 * 70 = 140

3 * 70 = 210

Is x a natural number

Answers

Answer:

no because natural numbers are positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well. not variables

no x is not a natural number because it is 1

please help me fr tho

Answers

Answer: y=2x+1

Step-by-step explanation:

To solve for y, we want to use our algebraic properties to isolate y.

16x+9=9y-2x               [add both sides by 2x]

18x+9=9y                     [divide both sides by 9, divide to each term]

2x+1=y

Now, we know that y=2x+1.

Answer:

no thx and thx for the points

Step-by-step explanation:

You are holding a gift, that has a mass of 9.5 kg. Calculate the weight of the gift,

Answers

Answer:

93.1 N (Newtons)

Step-by-step explanation:

I know it is hard for you to understand this question, so ill make it as easy as possible.

There's a difference between mass and weight

Mass is the amount of matter while WEIGHT IS THE AMOUNT OF FORCE EARTH ATTRACTS AN OBJECT TO ITS CENTER. That means that we have to calculate the weight.

The formula for that is:

Force = Mass * gravitational constant

Here, the gravitational constant means the acceleration at which earth attracts an object to itself. The value of gravitational constant is normally taken as '9.8m/s²' if the value is not given. If it is then replace the given value and calculate the answer.

Ok so heres the equation:

F= 9.5 kg x 9.8 ms

F= 93.1 N

I know it took too long to explain, but it was needed because I could see that you were confused between mass and weight

+ if u think the anwer is good so plz mark it the branliest uwu

two angles of a triangle are 98 degrees and 50 degrees what is the third angle

Answers

Answer:

32 degrees.

Step-by-step explanation:

The three angles in a triangle always add up to 180 degrees.

To find the third angle, [tex]180-50-98=32[/tex].

Find a ratio that is equivalent to 9 to 15

Answers

81:225 would be another ratio that is equavalient.

The required equivalent ratio of the given ratio is 3/5.

Given that,
The ratio that is equivalent to 9 to 15 is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Mentioned ration,
= 9 / 15
Reducing the expression by eliminating the common factors
= 3 / 5

Thus, the required equivalent ratio of the given ratio is 3/5.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

Aref (x) = StartFraction 1 Over 8 EndFraction x cubed and g (x) = 2 x Superscript one-third inverses of each other? Check all that apply. The simplified expression for f(g(x)) is x. The simplified expression for f(g(x)) is One-fourth x. The simplified expression for g(f(x)) is 2x. The simplified expression for g(f(x)) is x. The functions are inverses of each other. The functions are not inverses of each other.

Answers

Answer:

The simplified expression for f(g(x)) is x. The simplified expression for g(f(x)) is x. The functions are inverses of each other.

Step-by-step explanation:

Given:

  [tex]f(x)=\dfrac{1}{8}x^3\\\\g(x)=2x^{\frac{1}{3}}[/tex]

We find that ...

  [tex]f(g(x))=\dfrac{1}{8}(2x^{\frac{1}{3}})^3=\dfrac{1}{8}(2^3)(x^{\frac{3}{3}})=\dfrac{8}{8}x\\\\\boxed{f(g(x))=x}\\\\g(f(x))=2\left(\dfrac{1}{8}x^3\right)^{\frac{1}{3}}=2\left(\dfrac{1}{8^{\frac{1}{3}}}\right)(x^{\frac{3}{3}})=\dfrac{2}{2}x\\\\\boxed{g(f(x))=x}[/tex]

__

So, the statements that apply are ...

The simplified expression for f(g(x)) is x. The simplified expression for g(f(x)) is x. The functions are inverses of each other.

Answer:

A, D, E

   The simplified expression for f(g(x)) is x.

   The simplified expression for g(f(x)) is x.

   The functions are inverses of each other.

Step-by-step explanation:

Got it right on edg :)

(5.1 x 103) • (3.2 x 103)

Answers

Answer:

11480.22

Step-by-step explanation:

5.1x3.2 + 5.1x103 + 103x3.2 + 103x103

16.32 + 525.3 + 329.6 + 10609

11480.22

What is the equation of the line that has a slope of -2 and passes through the point (-1, 2)?
y = -2x − 4
y = -2x
y = -2x + 4
None of these choices are correct.

Answers

Answer:

The answer is

[tex]y = 2x[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-1 , 2) and the slope is - 2

The equation of the line is

[tex]y - 2 = - 2(x + 1) \\ y - 2 = - 2x - 2 \\ y = - 2x - 2 + 2[/tex]

We have the final answer as

[tex]y = 2x[/tex]

Hope this helps you

The length of the line?

Answers

Answer:c

Step-by-step explanation:

Answer:

[tex]\sqrt{136}[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem!

7. The steps below show Cam's work in solving an equation. Circle the line where he makes a mistake. Then, find the correct solution to the equation.​

Answers

Answer:

Error was at the fourth line: 12 = 16x

Correct solution: x = ½

Step-by-step explanation:

Let's solve the equation step by step to find the correct solution, and also, to find out at which line Cam made a mistake.

10 - 2x = 19x + 2 - 5x (given)

10 - 2x = 19x - 5x + 2

10 - 2x = 14x + 2

Add 2x to both sides

10 - 2x + 2x = 14x + 2 + 2x

10 = 14x + 2x + 2

10 = 16x + 2

Subtract 2 from both sides

10 - 2 = 16x + 2 - 2

8 = 16x (this is where Cam made an error, at the fourth line. He wrote: 12 = 16x. It seems Can only subtracted 2 from the right, then added 2 to the left. Subtraction property of equality was not properly done.)

Proceeding further with our calculation, we would divide both sides by 16

8/16 = 16x/16

½ = x

x = ½.

What is (-7) x (-3) in multiplying integers

Answers

Answer:

21

Step-by-step explanation:

negative x negative = positive the negatives cancel out each other

ASAP! I need some help with these 5 statistics questions please! (I will post them all separately).

Question 1: The mean time taken by all participants to run a road race was found to be 145 minutes with a standard deviation of 15 minutes. Using Chebyshev's theorem, find the percentage of runners who ran this road race in 100 to 190 minutes.

Round your answer to the nearest integer.

Answers

Man I wish I new....

which decimal is less than 0.8 and greater than 0.02

Answers

Answer:

0.02<x<0.80

0.4

Step-by-step explanation:

0.02 is equal to 2/100 and 0.8 is equal to 80/100

so you could really choose any number between 0.03 and 0.79

Answer:

Less than 0.8 and greater than 0.02

0.8 > a > 0,02

There are many decimals:

0.7

0.67

0.6

0.5

0.4

0.3

0.2

0.1

0.023

0.021

and many others

The brain volumes ​(cm3​) of 20 brains have a mean of 1162.5 cm3 and a standard deviation of 126.7 cm3. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such​ data, would a brain volume of 1405.9 cm3 be significantly​ high?

Answers

Answer:

No, the brain volume of 1405.9cm³ would not be significantly high.

Step-by-step explanation:

We would use the Empirical rule to determine the answer for this question.

The empirical rule - formula states that:

a) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ

b) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ

The question asks us to use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high.

The range rule of thumb tells us that the range is four times the standard deviation. So we say that the usual values will be 2 standard deviations away from the mean of the data distribution.that the values are usually within 2 standard deviations from the mean.

Hence, μ = mean =1162.5 cm³

σ = Standard deviation = 126.7 cm³

μ – 2σ

1162.5 cm³ - 2(126.7 cm³)

= 1162.5 cm³ - 253.4 cm³

= 909.1cm³

μ + 2σ

1162.5 cm³ + 2(126.7 cm³)

= 1162.5 cm³ + 253.4 cm³

= 1415.9cm³

From the calculation above, we can see that for such​ data, 1405.9 cm³ is within the lower limits of 909.1 cm³ and the higher limits of 1415.9 cm³. Therefore the brain volume of 1405.9 cm³ would not be significantly high.

1 added by 1 is

A. 2
B. 3
C. 5
D. 11
Explain your answer





Answers

Answer:

A. 2

Step-by-step explanation:

When adding two numbers, you are combining their values.

In this problem, you are combining the value of 1 with the value of 1. When you combine them, you are saying that you have two 1's. So in this problem, you combine both ones and get a final answer of 2.

please need help on this one I'll give you 5 stars and a heart or maybe a brainliest​

Answers

Answer:

13

Step-by-step explanation:

14x-1=x+12

13x=13

x=1

x=12

1=12

=13

Answer:

13

Step-by-step explanation:

use a ruler on this one. its super easy.

not saying to do it all the time, but for this one it is ok

Dale made a model of a lighthouse using a 4 inches=50 feet if the lighthouse is 120 feet tall, how tall is his model

Answers

Answer:

8 2/5 inches!

Step-by-step explanation:

The lighthouse is 120 feet, and 4 inches of height on the model equals 50 feet of height on the lighthouse. 100 divided by 50 = 2, and 4 multiplied by 2 is 8. 20 divided by 50 = 2/5, so the answer is 8 2/5 inches. :)

What are the two solutions of 2x2 = –x2 – 5x – 1?

Answers

Answer:

x=1+√334, x=1−√334

Step-by-step explanation:

ANSWER is C on edge for those of you looking

Step-by-step explanation:

find the indicated unknown angle measure.​

Answers

Answer:

138 degrees

Step-by-step explanation:

Angle b and the 42 degree angle right next to it are supplementary angles. That means that 42+b=180

b=138

A 3-mi cab ride cost $7.90. A 9-mi cab ride cost $18.70

Answers

Answer:

The 3 mile cab ride includes a basic charge as well as the cost for the distance covered. For a 6 mile trip, the cost ...

Un comerciante compró 6 camionetas por $2310000. si quiere obtener una ganancia total de $577500 ¿en cuanto debe vender cada camión?

Answers

1.5 es la respuesta!!!!!!!!!

A square window has an area of 1,232 in2. (a) What is the length of 1 side of the window? Round your answer to the nearest tenth. Show all of your work. (1 point for the correct answer and 1 point for showing how you got your answer)

Answers

x = length of one side.

1,232in^2 = x^2

Take the sqrt of both sides.

35.1 in = x

The length of one side = 35.1 in

Step-by-step explanation:

We know that,

area of square = a²

→ 1,232 = a²

→ a = √1232

→ a = 35.0 in

Nearest 10th = 35.1 in

Consider the universal set U and the sets X, Y, Z. U={1,2,3,4,5,6} X={1,4,5} Y={1,2} Z={2,3,5} What is (Z⋃X′)⋂Y?

Answers

X' = U - X

= {1,2,3,4,5,6} - {1,4,5}

= {2,3,6}

(ZUX') = {2,3,5} U {2,3,6}

= {2,3,5,6}

(Z⋃X′)⋂Y = {2,3,5,6} ⋂ {1,2}

= {2}

Drag the tiles to the correct boxes to complete the pairs. Match the angle measurements in radians with equivalent measurements less than or equal to 360°.

Answers

Answer:

60° =19π/3

288°=22π/9

315°=23π/4

80°=18π/5

Step-by-step explanation:

The question is incomplete. Find the completed question in the attachment.

We are to convert the radian values to the corresponding degrees that are less than 360°

Since π rad = 180°

For 23π/4:

If π rad = 180°

23π/4 = x

Cross multiply:

πx = 23π/4 × 180

x = 23π/4π × 180

x = (23×180)/4

x = 1035°

Next is to scale down 1035° to a degree less than 360 and to do this we will be subtracting multiples of 360° from the value gotten.

x = 1035 - (360×2)

x = 1035 - 720

x = 315°

Hence 23π/4 = 315°

For 18π/5:

If π rad = 180°

18π/5 = y

Cross multiply:

πy = 18π/5 × 180

y = 18π/5π × 180

y = (18×180)/5

y = 648°

In scaling down:

y = 648°-360°

y = 288°

Hence 18π/5 = 288°

For 22π/9:

If π rad = 180°

22π/9 = t

Cross multiply:

πt = 22π/9 × 180

t = 22π/9π × 180

t = (22×180)/9

t = 440°

In scaling down:

t = 440-360°

t = 80°

Hence 22π/9 = 80°

For 19π/3:

If π rad = 180°

19π/3 = y

Cross multiply:

πy = 19π/3 × 180

y = 19π/3π × 180

y = (19×180)/3

y = 3420/3

y = 1140°

In scaling down:

y = 1140°-(3×360)°

y = 1140-1080

y = 60°

Hence 19π/3 = 60°

Answer:

the other person was almost right except they mixed up 2 of them. this is the right answer, i hope this helps :)

60° =19π/3

288°=18π/5

315°=23π/4

80°=22π/9

have a great day :))

30 points and possible brainliest
I need help I selected one but I don't know what the other one is.​

Answers

Answer:

the answer is D and a

Step-by-step explanation:

please mark me as a brainlist...

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