Please Help !!Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will last 10 years. The rules of the competition are simple. Each child can split up his or her $2000 into as many separate investments as they please. The children are encouraged to do their research on types of investments. The initial investments made may not be changed at any point during the 10 years; no money may be added and no money may be moved. Whichever child has made the most money after 10 years will be awarded an additional $10,000.

Answer:

[tex]Male = 80[/tex]%

[tex]Female = 20%[/tex]%

Step-by-step explanation:

Given

Annual Mean Salary = 1500

Annual Mean Salary (Male) = 1560

Annual Mean Salary (Female) = 1260

Required

Percentage of male and female employed

Represent male by m and female by 4

So, total employees = m + f

The mean of an observation is calculated as thus;

Mean = Summation of observation divided by number of  observations

For Male:

Annual Mean = Total Salary/Number of males

Recall that Annual Mean = 1560

Number of males = m;

The formula becomes

[tex]1560 = \frac{TotalSalary}{m}[/tex]

Multiply both sides by m

[tex]1560 * m = \frac{TotalSalary}{m} * m[/tex]

[tex]1560m = TotalSalary[/tex]

For Female:

Annual Mean = Total Salary/Number of females

Recall that Annual Mean = 1260

Number of females = f;

The formula becomes

[tex]1260 = \frac{TotalSalary}{f}[/tex]

Multiply both sides by f

[tex]1260 * f = \frac{TotalSalary}{f} * f[/tex]

[tex]1260f = TotalSalary[/tex]

Total Annual Salary = Annual Salary of Male + Annual Salary of Female

Total Annual Salary = 1560m + 1260f

The mean annual salary is calculated as thus;

Mean Annual Salary = Total Annual Salary/Total Employees

Recall that Total Employees = m + f and Mean Annual Salary = 1500

So, the formula becomes

[tex]1500 = \frac{1560m + 1260f}{m+f}[/tex]

Multiply both sides by m + f

[tex]1500(m+f) = \frac{1560m + 1260f}{m+f} * (m+f)[/tex]

[tex]1500(m+f) = 1560m + 1260f[/tex]

Open brackets

[tex]1500m+1500f- = 1560m + 1260f[/tex]

Collect like terms

[tex]1500f -1260f = 1560m - 1500m[/tex]

[tex]240f = 60m[/tex]

Divide through by 60

[tex]\frac{240f}{60} = \frac{60m}{60}[/tex]

[tex]4f = m[/tex]

Reorder

[tex]m = 4f[/tex]

At this point, the percentage male and female can be calculated;

Male = (Number of male/Total Employees) * 100%

[tex]Male = \frac{m}{m+f} * 100[/tex]%

Substitute 4f for m

[tex]Male = \frac{4f}{4f+f} * 100[/tex]%

[tex]Male = \frac{4f}{5f} * 100[/tex]%

[tex]Male = \frac{4}{5} * 100[/tex]%

[tex]Male = 0.8 * 100[/tex]%

[tex]Male = 80[/tex]%

If percentage of male = 80%

Percentage of Female = 100% - 80%

[tex]Female = 20%[/tex]%

Answer:

BRO THE IMAGE FORMED IS CONGRUENT

Step-by-step explanation:

Answer:

They are congruent

Step-by-step explanation:

Figure C will still stay the same shape and size because there was no dilation involved in the process. The image of Figure C will be in quadrant 1 and rotated 270° clockwise. Congruent means it is the same shape and size. So our answer is "They are congruent".

Answer:

The interest rate was 42.5%.

Step-by-step explanation:

Answer:

x=3,y=-1 or (3,-1) The answer is D

Step-by-step explanation:

Answer:

m = - 1/3

Thats the answer.

Step-by-step explanation:

Answer:

domain: possible x values

range: possible y values

Step-by-step explanation:

Your question is not well presented

Question:

What is the solution to the linear equation?

[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]

Answer:

[tex]x = \frac{-5}{3}[/tex]

Step-by-step explanation:

Given

[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]

Required

Simplify

[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]

Add [tex]\frac{1}{2}[/tex] to both sides

[tex]x - \frac{2}{3}x - \frac{1}{2} + \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}[/tex]

[tex]x - \frac{2}{3}x = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}[/tex]

Subtract [tex]\frac{5}{6}x[/tex] from both sides

[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{5}{6}x + \frac{1}{2} - \frac{5}{6}x[/tex]

[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2} + \frac{5}{6}x- \frac{5}{6}x[/tex]

[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2}[/tex]

Take LCMs

[tex]\frac{6x - 4x -5x}{6}= \frac{2+3}{6}[/tex]

[tex]\frac{-3x}{6}= \frac{5}{6}[/tex]

Multiply both sides by 6

[tex]6 * \frac{-3x}{6}= \frac{5}{6} * 6[/tex]

[tex]-3x= 5[/tex]

Divide both sides by -3

[tex]\frac{-3x}{-3}= \frac{5}{-3}[/tex]

[tex]x = \frac{5}{-3}[/tex]

[tex]x = \frac{-5}{3}[/tex]

Answer:

x=-5

Step-by-step explanation:

Answer:

8

There are two real solutions

Step-by-step explanation:

We have the following quadratic equation

[tex]2x^2+4x+1=0[/tex]

a refers to the coefficient next to [tex]x^2[/tex]

b refers to the coefficient with [tex]x[/tex]

c refers to the number without x

This means that

[tex]a=2\\b=4\\c=1[/tex]

We now can plug these variables into the discriminant formula

[tex]b^2-4ac\\\\(4)^2-4(2)(1)\\\\16-8\\\\8[/tex]

As our answer is positive, we can determine that this quadratic equation has two real solutions.

Answer:

4) 8^14

7) h^7

10) 29^8 over 10^8

Step-by-step explanation:

If the numbers have the same base, just add their exponents together. So 10 plus 4 is 14.

Same thing for the second problem, since you have the same base, just add the exponents together. 6 plus 1 is 7

The bases are the same so just add the exponents, 7 plus one is 8.

(-2.9)^8

Convert it into a fraction: -(29/10)^8

Raise the fraction to the power (8) and the numerator and denominator to that power: 29^8/10^8

Hope this helps :)

8¹⁴

Step-by-step explanation:

4.) 8¹⁰×8⁴

=8 to the power (10+4)

=8¹⁴

7.) h⁶xh¹

=h to the power (6+1)

=h^7

10.) (-2.9)^1×(-2.9)^7

=(-2.9)^7+1

=(-2.9)^8

Answer:

it is C. An = 2(2)^n

Step-by-step explanation:

Answer:it is C. An = 2(2)^n

Step-by-step explanation:

Answer:

37.8

Step-by-step explanation:

The distance is the addition of all sides of the figure. Then, we need to find the length of the diagonal (d). To do that we have to make a right triangle with height (h) = 5 m. Given that the top length is 12 m and the bottom length is 15 m, the base (b) of the triangle is 15 - 12 = 3 m

Using Pythagorean theorem:

d² = h² + b²

d² = 5² + 3²

d = √34

d = 5.8 m

Therefore, the distance he will have walked is 5.8 + 12 + 15 + 5 = 37.8 meters

Answer:

y=4x-31

Step-by-step explanation:

Ignore the hint. Point slope form makes everything so much harder than it has to be.

Parallel lines always have the same slope, in this case 4.

So our equation is now: y = 4x + b

Let's solve for b by plugging in (5, -11), as it's the only point we know is on the parallel line.

-11 = 4(5) + b

-11-20 = b

b = -31

So plug in b: y = 4x - 31

--------------------

Also rate and tell me if I'm correct :)

Answer:

y = -4x + 15.

Step-by-step explanation:

To find the equation of a line perpendicular to y = -2 and passing through the point (4, -1), we can use the point-slope form of a linear equation.

The given line y = -2 has a constant slope of 0 since there is no variable term involving x. A line perpendicular to it will have an undefined slope.

Using the point-slope form, we have:

y - y₁ = m(x - x₁),

where (x₁, y₁) represents the coordinates of the given point (4, -1), and m represents the slope.

Since the slope is undefined, the equation becomes:

y - (-1) = undefined(x - 4).

Simplifying:

y + 1 = undefined(x - 4).

Now, we can write the equation in slope-intercept form by substituting the slope as -4 (the negative reciprocal of 0):

y + 1 = -4(x - 4).

Expanding the right side:

y + 1 = -4x + 16.

To isolate y, we can subtract 1 from both sides:

y = -4x + 16 - 1.

Combining the constants:

y = -4x + 15.

Therefore, the equation of the perpendicular line is:

y = -4x + 15.

Answer:

251.20 cm square

Step-by-step explanation:

As given in figure

height of cylinder = 2 cm

radius of cylinder = 8 cm

lateral surface area of cylinder is given by = [tex]\pi r l[/tex]

where r is the radius and l is the height

Therefore, lateral surface area of given cylinder

[tex]\pi r l = 3.14*8*2 = 50.24[/tex]

area of base is give by [tex]\pi r^2[/tex]

since there is only one base area of that base

= [tex]\pi r^2 = 3.14*8^2 = 3.14*64 = 200.96[/tex]

Thus,

Total surface area of open cylinder = 50.24 + 200.96 = 251.20 cm square

Answer:

There is no explanation so I guess 1 to 1?

Step-by-step explanation:

Answer:1. 8.6  2. 9.4 3.8.5

Step-by-step explanation:

Answer: The first puppy would weigh: 8.6 ounces

The second puppy would weigh: 9.4 ounces

The third puppy would weigh: 8.5 ounces

Step-by-step explanation: The puppies weights were 6.5, 7.3, and 6.4 respectively. The question says each puppy gained 2.1 ounces

So just add 2.1 to each of the puppies weights:

6.5+2.1=8.6

7.3+2.1=9.4

6.4+2.1+8.5

Hope this helps :)

Answer:

0?

Step-by-step explanation:

Answer:

x is equal to 16 degrees

Angle measures 62 degrees

Step-by-step explanation:

From Law of Sines:

XW/sin(∠Y) = WY/sin(∠X)

From the picture

XW = 8

WY = 8

∠X = 62°

Replacing into the equation:

8/sin(∠Y) = 8/sin(62°)

∠Y = 62°

Angle Y is also equal to:

∠Y = 4x - 2

62 = 4x - 2

62 + 2 = 4x

64/4 = x

16° = x

Answer:

m= 20 because the rate of change is -3.

Answer:

The answer is D

a= 20 because the rate of change is -3

Step-by-step explanation:

edg 2022

Answer:

B

Step-by-step explanation:

34 + 36pi = 147

Answer:

b

Step-by-step explanation:

_________________________________

Hey!!

Solution,

5(6x+9)+2x+8

= 30x+45+2x+8

= 30x+2x+45+8

=32x+53

Hope it helps

Good luck on your assignment

______________________________

Answer:

32x + 53

Step-by-step explanation:

To simplify this expression, perform the indicated multipliplication, using the Distributive Property, and then combine like terms:

30x + 45 + 2x + 8

becomes:

32x + 53

Answer

2.25cm^2

Step-by-step explanation:

Solution,

Perimeter of square(P)=6 cm

Length(l)=?

Now,

Perimeter of square=4l

or,6=4l

or, l=6/4

length= 3/2 cm

Again,

Area of square=l^2

=(3/2)^2

=9/4

=2.25 cm^2

Hope it will

Good luck on your assignment

Answer:

u=x+1

u2-4u+2=0

-2u+2=0

u=1=x+1

x=0

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a circle = π r^2

Reamed hole area = π 0.278^2= 0.242794846

Pin Area: π ([9/32]/2)^2= 0.062126221

Diameter = 2 radius  

Radius = diameter/2

Since

Hole Area > pin area

The pin will  fit into the reamed hole.

Feel free to ask for more if needed or if you did not understand something.

Answer:

x = 10

Step-by-step explanation:

Data

Given that A, B, and C are collinear points and B is between A and C, then the addition of the measure of segments AB and BC must be equal to the measure of segment AC, that is:

AB + BC = AC

Replacing with data:

2x + (x - 2) = 28

3x - 2 = 28

3x = 28 + 2

x = 30/3

x = 10

Answer:

-10 or 10

Step-by-step explanation: I think its 10 but if its not it will probally be -10 i'm sorry if both of these are wrong. take care :) .

Answer:

-10 or 10

Step-by-step explanation:

-17

-07

-10

Answer:

A

Step-by-step explanation:

cause it only has 3 in l side

The probability of a 3 showing on the dice would be equal to 1/6. the correct option is A.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that A fair,six sided dice is thrown once.

There are 6 possibilities and 3 is one of them so, probability of 3 is 1 out of 6,

The probability of a 3 showing on a six-sided dice is;

P(E)  = 1/6

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

Answer:

The graph that corresponds to the function is B.

Step-by-step explanation:

We want to see which one of the given graphs represents the function f(x) = 4*|x|

The correct option is the second graph.

Here we want to find the graph of the absolute value function:

f(x) = 4*|x|

To get it, we can evaluate the function in some values of x and then see which graph contains these points.

for example for x = 1 and x = -1 we have:

f(1) = 4*|1| = 4

f(-1) = 4*|-1| = 4

Then we need to see which graph contains the points (1, 4) and (-1, 4)

We can see that the only graph that contains these points is the second one, so the correct option is the second graph.

If you want to learn more about absolute value functions, you can read:

https://brainly.com/question/1782403

Answer:

[tex]x=900[/tex]

Step-by-step explanation:

Read the problem carefully and figure out where it says plus and where it says per. Per implies multiplication. Plus is addition.

220+0.15x

To solve, plug in 355 for the answer and back solve for x.

[tex]355=220+0.15x\\\mathrm{Switch\:sides}\\220+0.15x=355\\\mathrm{Multiply\:both\:sides\:by\:}100\\220\cdot \:100+0.15x\cdot \:100=355\cdot \:100\\22000+15x=35500\\\mathrm{Subtract\:}22000\mathrm{\:from\:both\:sides}\\22000+15x-22000=35500-22000\\15x=13500\\\mathrm{Divide\:both\:sides\:by\:}15\\\frac{15x}{15}=\frac{13500}{15}\\x=900\\[/tex]

Answer:

900

Step-by-step explanation:

math

Answer:

a) 2/5 x 900 = 360 hectares

b) 3/5th

c) 3/5 x 900 = 540

540 - 360 = 180

Farmer Richards needs to bring another 180 hectares under cultivation.