mr. tyler has a total of $5,000 in savings account and in a mutual fund. If he has x dollars in the savings account, how much dollars does he have in the mutusl fund?

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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We are evaluating a project that costs $786,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 65,000 units per year. Price per unit is $48, variable cost per unit is $25, and fixed costs are $725,000 per year. The tax rate is 22 percent, and we require a return of 10 percent on this project

The tax rate for 10% is IRR = 78%.

The Initial evaluating cost is $786000 and the

Depreciation expense per year will be  = $786,000 / 8 = $98,250.

and the contribution margin per unit = $48 - $25 = $23

total units sold  Projected per year = 65,000

fixed costs  will be per year = $725,000

At Present the tax rate = 22%

Net cost fixed per year  = -$786,000

Net Cost Fixed year 1-8 = {[($23 x 65,000) - $98,250 - $725,000] x 0.78} + $98,250 = $622,215

Net Per Variable  = $2,533,471.10

Hence the answer is, The tax rate for 10% is IRR = 78%.

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Answer:

43°

Step-by-step explanation:

the blue angle is congruent with the 80° because they are vertical angles

the red angle is 57° because 123° and 57° angles are supplementary angles

the green angle is 43° because the sum or angles in a triangle is 180°

Answer:

Slope = -8/3

Step-by-step explanation:

Since the line is going down, it is going to be a negative slope.

Slope = y/x

Slope = -8/3

Answer:

slope ( m ) = -8/3

Step-by-step explanation:

The two points are ( 1 , 4 ) and ( 4 , -4 ) that are most important. from these two points, it goes down by 8 and runs for 3.

Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

Answer: f(x)=-.5x-1

Step-by-step explanation:

I believe this is the answer you are looking for. Because if you plug in -10 for x and it gives you 4. Do the same with 8 and you get -5

Hope this helps :)

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A is the variable.

Answer:

40m

Step-by-step explanation:

I do know that it says that the picture says that it is 20m and there are two lines.so times it by two and you get 40

Answer: 40 m is correct

Step-by-step explanation:

Answer:

Expression: 9 + x/7=11

x=14

Step-by-step explanation:

The expression would 9 + x/7=11 because it says the sum of 9 and the quotient of x and 7. Quotient means the answer to a division problem, and sum means the answer to an addition problem.

x=14 because when you subtract 9 from both sides of the equation, you will get x/7=2

Then, 7*2=14, so that is why x=14

Hope this helps!

Answer: 100%

Step-by-step explanation:

The way she can use the number line to model the division is; Maria should start at 0 and then make “bounces” of 4 to the right until landing at 12. She will make 3 bounces of 4 because 12 divided by 4 is 3.

She is using a number line to model division, 12 ÷ 4  =  3

To carry out a division operation using a number line, follow the steps below:

For the division operation 12 ÷ 4, Maria should:

Therefore, the points on the number line will be 0, 4, 8, and 12

Count the number of gaps between these points

That is, 0 to 4, 4 to 8, and 8 to 12.

Since there are three gaps between 0 and 12 on the number line, using a gap difference of 4, then 12 ÷ 4  =  3

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Answer: 9 May

Step-by-step explanation: 3291684271 Fanelli Furs

594683219 Brooklyn Pets

7677095385 Maple Garage

8765713281 PAYMENT

321447162 Caruso's Restaurant

Previous

Balance

$420.50

4-10700000

Also this doesn't make a lot of sense.

Answer:

Uncle is 34. Nephew is 10.

Step-by-step explanation:

Let u equal the age of the uncle, and n equal the age of the nephew.

First, two years ago, the sum of their ages was 40. We can represent this by subtracting 2 from each variable. Thus:

\((u-2)+(n-2)=40\)

\(u+n-4=40\)

\(u+n=44\)

Next, in two years time, the uncle will be three times as old as his nephew. We can represent this by adding 2. Thus:

\(u+2=3(n+2)\)

We now have a system of equations and can solve accordingly.

First, from the first equation, we can determine that:

\(u=44-n\)

We can substitute this into the second equation.

\((44-n)+2=3(n+2)\)

\(46-n=3n+6\)

\(40=4n\)

\(n=10\)

Thus, the nephew's age is 10.

And the uncle's age is 44-10 or 34.

To find the slope of the secant line through (1,5) and (b, F(b)), we need to calculate the difference quotient:

slope_secant = (F(b) - 5) / (b - 1)

To find the slope of the tangent line at x=1, we can calculate the derivative of f(x) and evaluate it at x=1:

f'(x) = 2x - 2

slope_tangent = f'(1) = 2(1) - 2 = 0

To ensure that the slope of the secant line becomes within 0.001 of the slope of the tangent line when b gets close enough to 1, we set up an inequality:

|slope_secant - slope_tangent| < 0.001

|((F(b) - 5) / (b - 1)) - 0| < 0.001

Simplifying the inequality, we have:

|(F(b) - 5) / (b - 1)| < 0.001

As b approaches 1, F(b) approaches f(1) = 5. Therefore, we can rewrite the inequality as:

5 - 5| / |b - 1| < 0.001

0/|b - 1| < 0.001

Since the left side of the inequality is always 0, the inequality is always satisfied. Hence, as b gets close enough to 1, the slope of the secant line will eventually become within 0.001 of the slope of the tangent line at x=1.

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3 + 6x = 2x + 27

Move the 2x on the left side with changed sign and the 3 on the right side with changed sign aswell.

6x - 2x = 27 - 3

4x = 24

Now devide 24 by 4.

x = 24 : 6 = 4

Answer:

Step-by-step explanation:

\(\bf 3 + 6x = 2x + 27\)

Subtract 3 from both sides:-

\(\bf 3+6x-3=2x+27-3\)

Simplify:-

\(\bf 6x=2x+24\)

Subtract 2x from both sides:-

\(\bf 6x-2x=2x+24-2x\)

Simplify:-

\(\bf 4x=24\)

Divide both sides by 4:-

\(\bf \cfrac{4x}{4}=\cfrac{24}{4}\)

Simplify:-

\(\bf x=6\)

_____________________

Solution:

Multiply either numerator or denominator such that one of the terms is 30.

And:

Hoped this helped!

The area of the shaded region in this problem is given as follows:

995.44 cm².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:

r = 21 cm.

Then the area of the entire circle is given as follows:

A = π x 21²

A = 1385.44 cm².

The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:

A = 0.5 x 39 x 10

A = 390 cm².

Then the area of the shaded region is given as follows:

1385.44 - 390 = 995.44 cm².

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The gross wages of Xavier Brown when worked 43.5 hours in the week will be Gross pay=$730.625

The total amount earned by any worker with his basic pay like incentives allowances etc.

It is given that Xavier Brown works on a 40-hour week basis and-a-half paid for overtime work.

Last week she worked 43.5

The distribution of the work is given as:-

Monday      Tuesday        Wed      Thursday       Friday    Total

9 Hours     9 Hours          8.5         8.5                   8.5      43.5

So we have the total working hours = 43.5 hours

Weekly working hours are =40 hours

So for 40 hours she will be paid:-

Pay =40x17.50

Now extra hours or overtime is =43.5-40=3.5 hours

So the extra income will be half of the regular:-

Pay=3.5x({1}÷{2}) x17.5=$30.625

So total gross pay will be = $700+$30.625=$730.625

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Answer:

By looking at the scatter plot we can predict that the answer will be higher than previous answers since there is a positive relationship between x and y. With this idea, we can determine that a. is not the answer. Since it is too small of a y value. It also can't be b or c since these values are also small. Therefore the answer is d, for an x value of 200 the y value should be 555.5 from the choices given.

Step-by-step explanation:

hope its helps:) brainliest plz ty

The quadratic model is y = 0.002x² + 0.13x + 91.3 for the given data.

The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.

To make a scatter plot of the data, you will need to plot the x values on the horizontal axis and the y values on the vertical axis. You can then use a graphing calculator with a quadratic regression feature to find a quadratic model for the data.

Here is an example of how you might create the scatter plot and find the quadratic model using a graphing calculator:

Enter the x and y values into the calculator as separate lists. For example, you might enter the x values as {25, 50, 75, 100, 125, 150, 175} and the y values as {150, 178, 216, 265, 323, 392, 470}.

Select the "scatter plot" option on the calculator and plot the x and y values.

Select the "quadratic regression" option on the calculator. The calculator should then display the quadratic model in the form "y = ax^2 + bx + c," where a, b, and c are constants.

For the given data, the quadratic model may be something like "y = 0.002x² + 0.13x + 91.3." You can round the constants a, b, and c to the nearest thousandth place if desired.

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Answer:

c ) 2480 cm²

Step-by-step explanation:

Surface Area of a Triangular prism =

S = bh + lb + 2ls

b = 30cm

h = 8cm

s = 17 cm

l = 35cm

The surface area = 30cm × 8 cm + 35 × 30 cm + 2(35 × 17)

= 240 cm² + 1050 cm² + 1190 cm²

= 2480 cm²

Option c is the correct option

Answer:

Step-by-step explanation:

2 squares ( ONLP && PLKH )
2 triangles ( NML && HKJ )

1 semi-circle ( PH )

Part 1:

1. What are some danger of positioning a ladder against a wall?

a. ground needs to be level with the wall

a ladder needs to be in good shape

a. most dangers are just in case the ladder falls or you fall

a Gravity is not your friend

a. Oh! Also, if the ladder isnt steady, Once you reach the top, if you get off, It could fall leaving you stranded.

The steepest ladder I personally would climb: TWO STORIES

The shallowest ladder I personally would climb: UP TO THE ATTIC

Part 2:

1. OSHA is an agency responsible for workplace safety, read its rule and sketch a diagram that shows the proper relationship between the ladder, wall and

2. Calculate the angle that the ladder makes with the ground using a trigonometric ratio.

a. How tall is the wall? how long is the ladder? What is the measurement of the space between the foot of the ladder and teh wall? I dont know where to find these measurements but as long as you know SIN, ICOS, and TAN, You should be alright as long as you have the measurements

Sine= opposite/ hypotenuse

Cosine= adjacent/ hypotenuse

Tangent= opposite/adjacent

Part 3.

1. Watch the video below about Pierce fire trucks. Assuming a ladder truck must follow the OSHA recommendation, what's the highest floor it can safely reach? Sketch a graph and use trigonometric ratios to explain.

a. Where's the video?

2. What might be a problem with a truck having to park 25 feet away from the base of the building?

a. It will take a little bit of walking to get to the building but unless it is a firetruck or an ambulance needed to be that close to a builing, I dont think there is an issue. If there is a firetruck with a ladder and it is 25ft away from the base of the building it will be REALLY difficult to get to the building from the ladder.

3. Imagine the fire department had to evacuate the 25th floor of an office building. For firefighters to safely reach people at this height how long would the ladder have to be and how much would it weigh? Based on this, do you think Pierce should manufacture this apparatus? Explain.

a. Sorry my guy, I don’t know this at all. The ladder would have to be longer than the 25th floor, that is for sure, I just don’t know how much longer.

4. If Pierce wanted to manufacture this ladder, what might they do to make it feasible to put on a truck?

a. Well they would make it so that it can fold up to the length of where-ever the ladder is held on the fire truck. Like they would any other firetruck ladder.

Part 4.

1. What are some advantages and disadvantages of having a ladder at a very shallow angle?

advantages:

•you can get to lower places.

•probably more stable

very shallow disadvantages

•can’t get to high places

•might have to crawl on top of the ladder (I mean if it is mostly horizontal then yea)

2. what are some Advantages and disadvantages of having a ladder at a very shallow angle?

Advantages:

•you can get to high places

Disadvantages:

•Way less stable

•gravity is prone to pull you down.

•You can’t get to lower places

4. What do you think this means for the angle of the ladder they’re willing or able to climb?

a. I don’t know what to think about. Why are these questions so vague? Maybe the ladder needs to be super sturdy but that is a given when you are saving lives.

5. In 2017, 71 people died when their London apartment building caught fire: the exterior of the 24-story building was lined with flammable panels, and residents weren’t sure whter to leave their apartments or wait for help. There are many things that cities do to try and keep their citizens safe. Which of the following do you think would be the most effective in preventing tragedies like the one in London? Explain your reasoning by showing the pros and cons of each one.

I think (b) is the answer

(a). buying trucks with ladders longer that 100 feet

Pros: in theory this works because the firefighters would be able to reach high up places, like apartment building windows

Cons: The issue in the London case had nothing to do with windows and everything to do the walls and the people not knowing what to do so it isnt this answer.

(b). require tall buildings to be made of concrete

Pros: The walls aren’t flammable

Cons: I am not sure honestly

(c). training people on fire safety procedures?

Pros: people would know what to do in the London case scenario

Cons: How are you going to teach the whole city?

6. If ladders are difficult for high floors, what are some other options? What is the level of safety of each of your options? Explain using mathematical facts.

Stairs, escalators, elevators, ramps, slides, maybe even a trampoline...

If ladders are difficult to use for high floors another very common options are stairs. you see them pretty much everywhere. Escalators and elevators are also used, elevators more often that escalators.

I don't know how to make

Answer: 9

Step-by-step explanation: To find the mode, you order the numbers from lowest to highest and see which number appears the most often.

Let's assign variables to the unknowns to help solve the problem. Let's denote:

Paul's earnings for painting rooms as P

Paul's earnings for cutting grass as G

Megan's earnings for babysitting as M

Given information:

1. Paul earns twice as much each week painting rooms than cutting grass:

  P = 2G

2. Paul's total weekly wages are $150 more than Megan's earnings:

  P + G = M + $150

3. Megan earns one quarter as much as Paul does painting rooms:

  M = (1/4)P

Now we can solve the system of equations to find the value of P (Paul's earnings for painting rooms).

Substituting equation 2 and equation 3 into equation 1:

2G + G = (1/4)P + $150

3G = (1/4)P + $150

Substituting equation 2 into equation 3:

M = (1/4)(2G)

M = (1/2)G

Substituting the value of M in terms of G into equation 1:

3G = 4M + $150

Substituting the value of M in terms of G into equation 3:

(1/2)G = (1/4)P

Simplifying the equations:

3G = 4M + $150   (Equation A)

(1/2)G = (1/4)P   (Equation B)

Now, we can substitute the value of M in terms of G into equation A:

3G = 4[(1/2)G] + $150

3G = 2G + $150

Simplifying equation A:

G = $150

Substituting the value of G back into equation B:

(1/2)($150) = (1/4)P

$75 = (1/4)P

Multiplying both sides of the equation by 4 to solve for P:

4($75) = P

$300 = P

Therefore, Paul earns $300 for painting rooms.

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Answer:

true

Step-by-step explanation:

After the depression in the principality of Lucastan, the number of unemployed workers who gave up searching completely (3 million) is greater than the number of unemployed workers (8 million).

During the depression, a total of 8 million workers in Lucastan lost their jobs. However, out of these 8 million, only 3 million workers completely gave up searching for employment. This means that there are 3 million workers who are not actively seeking employment anymore.

While both numbers are significant, the 3 million workers who gave up searching completely is greater than the 8 million unemployed workers. This highlights the discouragement and lack of job prospects that led these workers to withdraw from the labor force entirely.

The 3 million workers who have given up searching completely may face challenges in re-entering the workforce, as they may have become discouraged or may have taken on other responsibilities during their period of unemployment. This can have long-term implications for the labor market and the economy of Lucastan.

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The sinusiodal function created from 2 given points is y = 3 sin (πx + 90) + 3

From the case, we have:

Minimum point = (-3,0)

Maximum point = (-9,6)

The sinusoidal fuction would be in the form of:

y = A sin (Bx - C) + D

where:

A = amplitudo

B = 2π / Period

C = Phase shift

D = Midline

First, we need to find the amplitudo:

A = (Y max - Y min) / 2

A = (6 - 0) / 2

A = 3

Periode = (X max - X min) x 2

Periode = (-9 - (-3) x 2

Periode = -6

B = 2π / Periode

B = 2π / 6

B = 1/3 π

D = (Y max + Y min) / 2

D = (6 + 0) / 2

D = 3

We can use one point to find the value of C:

0 = 3 sin (π/3 (-3) - C) + 3

0 = 3 sin (π - C) + 3

-3 = 3 sin (π - C)

sin (π - C) = -1

(π - C) = 270

C = -1/2 π

C = - 90

Then the sinusiodal function would be:

y = 3 sin (πx + 90) + 3

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A derivative of a function shows the rate of change of the function at any point on the function. the original function f(x) is:\($$f(x) = \frac{c_1}{4}x^4 + \frac{c_2}{3}x^3 + \frac{c_3}{2}x^2 + c_4x + c_5$$$$f(x) = \frac{1}{4}x^4 - \frac{5}{3}x^3 - x + 1$$\)

To find the equation of the original function f(x), we need to integrate the derivative function f′(x). Let's integrate the given derivative function f′(x) in order to get the original function f(x).

\($$\int f'(x) dx = \int (c_1x^3 + c_2x^2 + c_3x + c_4) dx$$$$ f(x) = \frac{c_1}{4}x^4 + \frac{c_2}{3}x^3 + \frac{c_3}{2}x^2 + c_4x + c_5$$\)

Now, we need to find the values of constants c1, c2, c3, c4 and c5 by using the given conditions:

f′(−2)=−1\($$f(-2) = \int f'(-2) dx = \int (-1) dx = -x + c_5$$\)

Put x = -2 in f(x) and f′(−2)=−1,\($$-1 = f'(-2) = \frac{d}{dx} (-2 + c_5) = 0$$\)

Hence, c5 = -1f′(−1)=1\($$f(-1) = \int f'(-1) dx = \int 1 dx = x + c_4$$\)

Put x = -1 in f(x) and\(f′(−1)=1,$$1 = f'(-1) = \frac{d}{dx} (-1 + c_4) = 0$$\)

Hence, c4 = 1\(f′(0)=−2$$f(0) = \int f'(0) dx = \int -2 dx = -2x + c_3$$\)

Put x = 0 in f(x) and \(f′(0)=−2,$$-2 = f'(0) = \frac{d}{dx} (-2 + c_3) = 0$$\)

Hence, c3 = -2\(f′(1)=5$$f(1) = \int f'(1) dx = \int 5 dx = 5x + c_2$$\)

Put x = 1 in f(x) and f′(1)=5,\($$5 = f'(1) = \frac{d}{dx} (5 + c_2) = 0$$\)

Hence, c2 = -5

the original function f(x) is:\($$f(x) = \frac{c_1}{4}x^4 + \frac{c_2}{3}x^3 + \frac{c_3}{2}x^2 + c_4x + c_5$$$$f(x) = \frac{1}{4}x^4 - \frac{5}{3}x^3 - x + 1$$\)

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