for the function f (x) = 4x^1/3, find f^-1 (x)

If you invest a 100% in stocks however, you stand to make an average of 9.2% but a chance of a worst return of -40.40%.

In the given statement is:

Your friend tells you he is going to start investing and would like to earn a 10% return. He says stocks make him nervous, so he will only be investing 10% in stocks and the remaining 90% will be invested in bonds.

Based on the graph given on bond and stock returns, the average return if one invested 100% in bonds or in stocks is 5.0% and 9.2% respectively.

What happens if you invest 100% in either stocks or bonds?

The graph shows that when you invest a 100% in bonds, the average return you stand to make it 5.0% while the worst return is -2.1%.

If you invest a 100% in stocks however, you stand to make an average of 9.2% but a chance of a worst return of -40.40%.

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Answer:4

Step-by-step explanation:

2 to the power of 3x-1 when x=1

Replace x with 1 for 3(1)-1=2

2 to the power of 2 is 2*2 which equals 4

Alternatively if the question means 2 to the power of 3x minus 1

Replace x with 1 for 3(1)=3

2 to the power of 3 is 2*2*2 which equals 8

8-1=7

In 15 years, the account will be worth $1896 if the 3.7% interest is compounded monthly on initial deposit of $1100.

It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Given Data

A =  [tex]P(1+\frac{r}{100} )^{t}[/tex]

P=$1100

r =3.7%

t = 15years

Substitute the values in formula, A = [tex]P(1+\frac{r}{100} )^{t}[/tex]

A= 1100(1+{3.7/100})¹⁵

A = 1100(1+0.037)¹⁵

A = 1100(1.037)¹⁵

A= 1100(1.724)

A= 1896.4

Round off to nearest cent - $1896

Hence, $1896 will the account be worth in 15 years

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The vertices of the given ellipse are (-9, 2) and (-1, 2). Therefore, option D is the correct answer.

We need to find the vertices of the given ellipse.

The major axis of the ellipse cuts the ellipse into two distinct points called the vertices of the ellipse. The line perpendicular to the major axis of the ellipse is the minor axis, and it cuts the ellipse at two distinct points called the covertices of the ellipse. The midpoint of the vertices of the ellipse, or the covertices of an ellipse is the centre of the ellipse. The endpoints of the major axis are the vertices, and the endpoints of the minor axis are the covertices.

Equation of the ellipse = x²/a² + y²/b² = 1

Vertices of Ellipse: (a, 0), (-a, 0)

As we know, the endpoints of the major axis are the vertices.

From the given figure we can see that axis of the ellipse passes through the points (-1, 2) and (-9, 2).

The vertices of the given ellipse are (-9, 2) and (-1, 2). Therefore, option D is the correct answer.

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The number in standard notation is 143,000.

The number in scientific notation is 4.39 x 10^-4

Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example:

• The number : 1 x 10² is equivalent to 100

• The number 5 x 10³ is equivalent to 500

When changing a number that is less than 1 to scientific notation, there would be a negative sign before the power.

0.000439 = 4.39 x 10^-4

In order to convert a number from scientific notation to standard notation, multiply the number by its power.

1.43 x 10^5

= 1.43 x 100,000 = 143,000

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Answer: 9 and -5

Step-by-step explanation:  2+7=9 and 2-7=-5

Answer:

b) 8 × 12 + 8 × 30

Step-by-step explanation:

Now we have to,

→ Find the equivalent expression.

The property we use,

→ Distributive property.

The expression is,

→ 8(12 + 30)

Let's simplify the expression,

→ 8(12 + 30)

→ 8(12) + 8(30)

→ (8 × 12) + (8 × 30)

→ 96 + 240

→ 336

Hence, the option (b) is correct.

Answer:

The new period is 23π

Answer:

2pi/3

Edge 2023

Answer: y=2x-14

Step-by-step explanation:

Solve for x

x/2+7 = y

x/2+7-7=y-7

x/2=y-7

2x/2=2(y-7)

x=2y-14

y=2x-14  ==> switch the x and y variables

Answer:
X-intercepts: -1 and 3

Y-intercepts: 3
Vertex: (1, 4)
Axis of Symmetry: y= -1x + 3x + 4 (I think this is right it might not be and im sorry if it isnt).

Step-by-step explanation: Hope this helps even a little bit <33

Answer:

Step-by-step explanation:

13-b

put ixes in equations and see which is correct that b is correct.

14- c

in this question put   known points in equations.

Answer: 87.5%

hope this helps! :)

Answer:

A

Step-by-step explanation: i just did the test

Answer:

Estimated answer = 3,000

Product/Answer = 3,648

Hope this helps :)

Explanation below.

Step-by-step explanation:

1. To estimate, firat round the two numbers, 608 and 6.

When rounding if the numbers are 1,2,3,4 round down and if the numbers are 5,6,7,8,9 round up. But in this case we are just estimating an answer so we can just round 6 to 5 and 608 to 600. However, if the directions say to round to a specific place value, then follow the directions.

608 rounded to 600

6 rounded to 5

2. Multiply.

600 × 5 = 3,000

3. Solve with exact given numbers.

608 × 6 = 3,648

Answer:

Ratio is a comparison between 2 numbers.

Hope this helps :)

The possible answers for the restaurants are Three 8-hour shifts; four 6-hour shifts; six 4-hour shifts.

2. The seconds that they will blink together again is 45 seconds.

Here we have to determine the factors of 24 for the shifts i.e.  1, 2, 3, 4, 6, 8, 12, 24 .

A 1-hour shift does not make much sense; most employers will also not use a 2-hour or 3-hour shift.

Restaurants typically do not use 12-hour shifts either, and employers do not use 24-hour shifts either.

Since both signs blink as they are turned on and one blinks every 9 seconds. The other sign blinks every 15 seconds. The least common multiple is 45.

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Using the least common factor, it is found that she tests the parts once every 3 minutes.

To find the time that passes between the events happening at the same time, we need to find the least common multiple of the periods.

For this problem, the periods are of 12 seconds and 45 seconds. The least common factor is found factoring both terms by prime factors, as follows:

12 - 45|2

6 - 45|2

3 - 45|3

1 - 15|3

1 - 5|5

1

Hence:

lcf(12, 45) = 2² x 3² x 5 = 180 seconds = 3 minutes.

She tests the parts once every 3 minutes.

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Answer:19

Step-by-step explanation:

The range of a data set in statistics is the difference between the largest and the smallest values.

86-67=19

Answer:

11 with a remainder of 26

Step-by-step explanation:

The range of possible sizes for side x is 2.3 < x < 8.7.

Herein we have a triangle, of which two of its sides are known and we can now the set of all possible values by using the law of the cosine:

x² = 3.2² + 5.5² - 2 · 3.2 · 5.5 · cos θ

x = √(40.49 - 35.2 · cos θ)

The cosine is bounded between - 1 and 1, then the possible sizes for the side x are:

2.3 < x < 8.7

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Answer:

c

Step-by-step explanation:

131-69= 62

Step-by-step explanation:

taken in April on these boats. Straight-line depreciation is also used for the two boats purchased in May. Make one

16.5 is 30% of 55

1650/55 = 30

Answer:

9.16 × 10-6

Step-by-step explanation:

Answer:

The slope is 1/2

(0,1)

I hope this helped you!

Answer:

-6

Step-by-step explanation:

y=6

-y=-6

Yes, Briggs will have enough to complete a job requiring 1900 bricks. Since he has 1910 bricks remaining and he needs only 1900 bricks to complete the work.

Given that On the basis of past experience, a contractor expects to find 4.5% Broken Brickson every truckload.

He orders 2000.

We need to see whether Briggs will have enough to complete a job requiring 1900 bricks.

Example:

- 20% of M

= 20/100 x M

= 1/5 x M

- 25% of M

= 25/100 x M

= 1/4 x M

Find 4.5% of 2000.

= 4.5% x 2000

= 4.5 / 100 x 2000

= 4.5 x 20

= 45 x 2

= 90

The remaining bricks are:

= 2000 - 90

=  1910

We see that Briggs will have enough to complete a job requiring 1900 bricks.

1910 > 1900.

Thus, Briggs will have enough to complete a job requiring 1900 bricks.

Since he has 1910 bricks remaining and he needs only 1900 bricks to complete the work.

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Answer:

7.25 feet/2 feet = 3.625 pieces so you can have 3 pieces of 2 feet each and 1 piece left over that is less than 2 feet.

Step (B) determining the shaded area for each line is not required when graphing this system of equations.

As it is given in the description itself, when solving this system of equations by graphing, it is not necessary to determine the shaded area for each line.

Therefore, step (B) determining the shaded area for each line is not necessary when solving this system of equations by graphing

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The correct question is given below:
Which step is not necessary when solving this system of equations by graphing?

3x-y-4

X+y=-4

O

Identify the point of intersection

(A) Choose a method to graph the equations.

(B) Determine the shaded area for each line.

(C) Write the solution as an ordered pair

The values of m and b are 6 and 2 respectively and the value of m + b is 8.

It is given that the equation y = mx + b   ....(1) for the line parallel to the graph of  y = 6x + -2    ...(2) means that slope of the equation y = mx + b which is parallel to the graph y = 6x + -2  is same i. e on comparing equation (1) and (2) , we get m = 6

On the other hand , the equation y = mx + b has the same y- intercept as the graph of y = 36x + 2   .....(3)

On  comparing equation (1) and (3) , we get b = 2

Therefore , m + b = 6 + 2

                             = 8

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