Using the formula :-
[tex]\tt A\:=\:PMT\:\cdot \left[\frac{\left(1+\cfrac{APR}{n}\right)^{nY}-1}{\cfrac{APR}{n}}\right][/tex]
Find the savings plan balance after 2 years with an APR of 6​% and monthly payments of ​$150.

got my answer as 3814.79, just want to check my work, thanks!:)

Answer: 36

Step-by-step explanation: plug in 3 for n.

40-2(2)= 36

Answer:

Any series of temperatures between -4° and 4° could occur during the day, as long as they stay within that range. For example, the temperature could start at -3°, then rise to 1°, fall to -2°, and rise again to 3°, and so on. Another example could be the temperature staying constant at 0° throughout the day. Therefore, there are many possible series of temperatures that could occur during the day, as long as they stay within the given temperature range.

Answer:

3.5?

Step-by-step explanation:

sorry that's all i can do..

Answer: 3.5714286e^-10 or 0.00000000035714286 or 3.5714286 × 10^-10

Step-by-step explanation:

First, we divide 0.0001 by 28, which equals 3.5714286e-6.

And since we added 4 zeros to the equation, the negative (e) will be pushed by -4. So, it should look like this: 3.5714286e-10, and the equation is complete.

Answer:

c

Step-by-step explanation:

So what you need to do is split who is part of each:

1/2:

Wife:$?

1/2:

Daughter:$40,000

Butler:$?

Charity:$6,000

This makes it much easier to see as you know the charity and Butler received the same amount. You take your total (x) and do a simple equation of x=$40,000+6,000+6,000 as you know the butler must have also received the $6,000 the charity did. You will get x=$52,000 and you know that is half of the estate as he gave the other half to his wife. This is the same as knowing the butler and charity received the same amount as halves are equal to each other. SO now all you have to do is add $52,000+$52,000=$104,000 getting your answer.  

In a working week of 40 hours, 120 articles A and 60 articles B will be produced.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, 'a' be the number of articles A produced and 'b' be the number of articles B produced.

Therefore, From the given information the equation can be modeled as,

12a + 16b = 60×40.

12a + 16b = 2400, and a = 2b.

12×2b + 16b = 2400.

24b + 16b = 2400.

40b = 2400.

b = 60 and hence a = 120.

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The boulder's maximum height is 242.6 feet.

It takes the boulder 3.79 seconds to reach its maximum height

Motion is the phenomenon in which an object changes its position with respect to time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed.

here, we have,

From the question, we are to determine the maximum height of the boulder

First, we will calculate the time it took the boulder to reach its maximum height

Using the formula,

v = u - gt

Where v is the final velocity

u is the initial velocity

g is the acceleration due to gravity (g = 32.1741 ft/s²)

and t is the time

From the given information

u = 122 ft/s

At maximum height, v = 0 ft/s

Putting the parameters into the equation, we get

0 = 122 - 32.1741t

32.1741t = 122

t = 3.79 s

This means it takes the boulder 3.79 seconds to reach its maximum height.

Now, substitute the value of t into the function that gives the height of the boulder

From the given information,

The height of the boulder is given by

H(t)= -16t² + 122t + 10

Then,

H(3.79) = -16(3.79)² + 122(3.79) + 10

H(3.79) = -229.8256 + 462.38 + 10

H(3.79) = 242.5544

H(3.79) ≅ 242.6 ft

Hence, the boulder's maximum height is 242.6 feet.

It takes the boulder 3.79 seconds to reach its maximum height

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The highest value and lowest value of x is domain, here domain is [1, -3]

The highest value and lowest value of y is range, here range is [8, -3].

Mathematical operations are comparable to those of a soda vending machine. You can choose from a variety of sodas when you deposit a certain sum of money. Similar to how we input different numbers into functions, we also receive new numbers as the outcome. The two main characteristics of functions are domain and range.

A soda can be purchased with quarters and one dollar bills. If pennies are put into the machine, no soda flavour will be provided. As a result, the domain represents the possible inputs, which are quarters and one-dollar bills. No matter how much you pay, a soda machine won't give you a cheeseburger. The range represents the potential outputs we can have in this situation, that is, the  flavors of soda in the machine.

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Answer: Your welcome!

Step-by-step explanation:

a. Yes, this makes a triangle. It is an acute triangle.

b. Yes, this makes a triangle. It is an acute triangle.

c. Yes, this makes a triangle. It is an obtuse triangle.

d. No, this does not make a triangle. The side lengths do not add up to more than the other two sides combined.

e. Yes, this makes a triangle. It is an obtuse triangle.

Answer: Its C

Step-by-step explanation:

The area of the triangle ABC is (c) 36√3 square units

From the question, we have the following parameters that can be used in our computation:

Side length, l = 12 units

Triangle type = Equilateral triangle

The side lengths of an equilateral triangle are congruent, and the area of a triangle is equal to half of the product of the base and the height of the triangle.

Using the above as a guide, we have the following:

Area = 1/4√3 * l^2

Substitute the known values in the above equation, so, we have the following representation

Area = 1/4√3 * 12^2

Evaluate

Area = 36√3

Hence the area is 36√3

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Answer:

f (3) = 142

Step-by-step explanation:

#CarryOnLearning

there are 3 cups of lemonade in each cup

Answer:

Option 4 4/9

Step-by-step explanation:

The trigonometric ratio for the cosine of the angle W derived as 48.18712, is equal to 0.6667.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

cos W = 10/15 {adjacent/hypotenuse}

cos W = 2/3

W = cos⁻¹(2/3) {cross multiplication}

W = 48.18712

cos W = cos 48.18712

Therefore, the cosine of the angle W is equal to using the trigonometric ratio.

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According to given information the correct answer is [tex]$t =[/tex] [tex]\frac{5}{4}$[/tex] seconds.

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two expressions separated by an equals sign (=), with the expression on the left side equal to the expression on the right side. The equals sign indicates that the two expressions have the same value for some or all values of the variables involved.

The equation that gives the height [tex]($S$)[/tex] of the ball at time [tex]($t$)[/tex] is:

[tex]$$S = 140 + 128t - 16t^2$$[/tex]

To find the time [tex]($t$)[/tex] when the ball is at a certain height, we can set the equation equal to that height and solve for [tex]t$.[/tex]

For example, if we want to find the time when the ball is at a height of 200 feet, we would set [tex]$S = 200$[/tex] and solve for [tex]t$:[/tex]

[tex]$$200 = 140 + 128t - 16t^2$$[/tex]

Rearranging and simplifying, we get:

[tex]$$16t^2 - 128t + 60 = 0$$[/tex]

Dividing both sides by 4, we get:

[tex]$$4t^2 - 32t + 15 = 0$$[/tex]

We can solve for [tex]$t$[/tex] using the quadratic formula:

[tex]$$t[/tex]= [tex]\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$[/tex]

where  [tex]a = 4$, $b = -32$,[/tex]  and  [tex]c = 15$.[/tex]

Plugging in these values, we get:

[tex]$$t[/tex] = [tex]\frac{-( -32) \pm \sqrt{(-32)^2 - 4(4)(15)}}{2(4)}$$[/tex]

Simplifying, we get:

[tex]$$t =[/tex] [tex]\frac{32 \pm \sqrt{484}}{8}$$[/tex]

[tex]$$t =[/tex][tex]\frac{32 \pm 22}{8}$$[/tex]

Therefore, the possible values of [tex]$t$[/tex] are:

[tex]$$t =[/tex] [tex]\frac{7}{2} \quad \text{or} \quad t = \frac{5}{4}$$[/tex]

Since the ball is thrown upward, the time when the ball is at a height of 200 feet is the time it reaches the height of 200 feet on its way up, not on its way down.

Therefore, according to given information the correct answer is [tex]$t =[/tex] [tex]\frac{5}{4}$[/tex] seconds.

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Answer:

your ans please mark me brainiest

The quantitative quality that is transferred to a physical system or a body is known as energy, and it is evident in the production of heat and light as well as in the performance of work.

What is Work?

Work, It is defined as the energy that is applied to or removed from an object by applying force along a displacement. A constant force acting in the same direction as the motion, the work is simply equal to product of the force's magnitude and the distance traveled.

The total price of high-energy lamp is a whole-number multiple of 4. The total price of the low-energy lamp is a whole number multiple of 5.

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Complete Question :

An electrician has $120 to spend on interior light fixtures. The

wholesale price for a 13-watt low-energy lamp is $4. The price for a

high-energy lamp is $5.

How does the total price of the high energy lamp relate to the low energy lamp? how does the total price for the low energy lamps relate to the high energy lamps?

Given:-

[tex] \: [/tex]

[tex] \: [/tex]

Solution:-

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

Therefore , the value of x is 6 !

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

Answer: The equation x = 7y + 2 is a linear equation in two variables, x and y. To find ordered pairs of x and y that satisfy this equation, we can choose values of y and then solve for x.

For example, if we choose y = 0, then:

x = 7y + 2

x = 7(0) + 2

x = 2

Therefore, the ordered pair (2, 0) satisfies the equation x = 7y + 2.

Similarly, if we choose y = 1, then:

x = 7y + 2

x = 7(1) + 2

x = 9

Therefore, the ordered pair (9, 1) satisfies the equation x = 7y + 2.

We can continue in this manner to find more ordered pairs. However, note that there are infinitely many ordered pairs that satisfy this equation, as the equation represents a line with a slope of 7 and a y-intercept of (0, 2). Therefore, we can choose any value of y and obtain a corresponding value of x that satisfies the equation.

Step-by-step explanation:

We will see that the car needs 15 liters to travel the 180 km.

We know that this car travels 12 km for each liter of gasoline, so we must see how many times there are 12 kilometers in 180 km, then we must take the quotient:

180km/12km = 15

And for each one of those times, the car consumes one liter, so in total there are 15*1 l = 15 l

The car needs 15 liters to travel 180 km.

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Answer: three million eight hundred eleven thousand four hundred fifty nine

1 000 000 = million

100 000 = hundred thousand

10 000 = ten thousand

1 000 = one thousand

100 = one hundred

10 = ten

1 = one

When I would look at questions like this I would use this chart and replace the numbers and I found that this really helped

Sure! Tidal energy is a type of renewable energy that is harnessed from the movement of ocean tides. There are different approaches to harnessing tidal energy, but the three options given in the question are:

I. Floating platform with turbines: This approach involves anchoring a floating platform in the tidal zone, where the rise and fall of the tides can be used to turn turbines and generate electricity. The turbines are connected to generators, which convert the mechanical energy of the turning turbines into electrical energy. This approach is commonly used in commercial tidal energy projects, such as the MeyGen tidal energy project in Scotland.

II. Floating ship with turning pendulum: This approach, also known as the "pendulor" or "pendulum" system, involves a floating ship or barge that is anchored in the tidal zone. The ship is designed to swing back and forth with the movement of the tides, and this movement is used to turn a pendulum, which in turn drives a generator. The idea behind this approach is that the ship's movement can be used to generate more energy than just the up-and-down motion of a floating platform with turbines. However, this approach is still in the experimental phase and has not yet been deployed on a commercial scale.

III. Having water spin turbines attached to fence: This approach involves installing turbines directly in the flow of tidal currents. The turbines are attached to a fence-like structure, which guides the flow of water and increases the speed of the current as it passes through the turbines. The spinning turbines generate electricity, which is then sent to a generator and converted into usable power. This approach is also known as "barrage" or "fence" technology, and it has been used in a few commercial tidal energy projects, such as the La Rance tidal power plant in France.

So, to answer the question, the correct answer is "I and III" since both involve using turbines to generate electricity from the movement of ocean tides.

Floating platform with turbines and Having water spin turbines attached to fence best  describes an approach used to harness tidal energy.

Energy is the capacity to do work

The approach used to harness tidal energy is described by option I and III.

I. Floating platform with turbines - This involves placing turbines on floating platforms that are anchored to the seabed.

As the tide comes in and out, the water flows through the turbines, generating electricity.

III. Having water spin turbines attached to fence - This involves building a fence-like structure across a tidal inlet.

As the tide comes in and out, the water flows through the fence and spins turbines, generating electricity.

Option II, floating ship with turning pendulum, does not describe an approach used to harness tidal energy.

Therefore, floating platform with turbines and having water spin turbines attached to fence best  describes an approach used to harness tidal energy.

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Answer:

Once you have the cable, it will be simple to connect your phone to your laptop. On your phone, go to Settings and then the System page. Scroll down until you find the section entitled “OTG storage,” and turn on the option. When you connect the USB OTG cable to the physical keyboard, you will be able to use the keyboard to type on your phone.

Step-by-step explanation:

Answer: Isaac is unfortunately incorrect.

Step-by-step explanation: We want to determine if -2(3x-5)=-6x-10. We can apply the distributive property to the parentheses on the left side of the equation to see if this statement is true.

-2(3x-5)=-2*3x+-2*-5=-6x+10

The left side simplifies to -6x+10 which is not equivalent to -6x-10.

Hope this helps!

The measure of angle WUX is 78⁰.

option D.

The measure of angle WUX is calculated by applying the following triangle principles.

∠ VUX  + ∠VXU = 90 ( complimentary angles )

7x + 11 + 11x + 7 = 90

18x + 18 = 90

18x = 72

x = 72/18

x = 4

The measure of angle VXU is calculated as;

∠VXU = 11x + 7

= 11 x 4    + 7

= 51⁰

The measure of angle UWV is calculated as;

∠ UWV = 6x + 27

= 6 x 4   +  27

= 51⁰

The measure of angle WUX is calculated as;

∠ WUX = 180 - ( 51 + 51 ) ( sum of angles in a triangle )

∠ WUX = 180 - 102

∠ WUX = 78⁰

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The probability is approximately 0.129

To calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag, we need to use the binomial probability formula:

P(X >= 48) = 1 - P(X < 48)

Where

To calculate P(X < 48), we need to use the binomial probability formula:

P(X = x) = (nCx) * p^x * q^(n-x)

Where

nCx is the binomial coefficient, which can be calculated using the formula:

nCx = n! / (x! * (n-x)!)

where ! denotes the factorial function.

We can use a cumulative binomial distribution table or a binomial calculator to find the probability of getting less than 48 orange Stattles in a 14 ounce bag. For example, using an online calculator, we find that:

P(X < 48) = 0.871

Therefore, the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag is:

P(X >= 48) = 1 - P(X < 48) = 1 - 0.871 = 0.129

So, the probability is approximately 0.129 or 12.9%.

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Answer:

I think z>1.5 because it is not bold and underlined

Answer:

x = 3 ; ∠m B = 85° ; ∠m BAC = 34°

Step-by-step explanation:

Opposite sides of a parallelogram are equal. If 2x = 6, then x must be equal to 3. The same idea goes for angles. Since angle D measures 85°, angle B must as well. Using the formula 180°(n-2), where n = number of sides, it is seen that there are 180°(2) = 360° in a four sided shape. Knowing two of them, we can subtract 85*2 from 360 to find the rest of the degrees. 360° - 170° = 190°. Since the other two angles are equal as well, 190°/2 = 95°. Since  ∠m DAC = 61°, ∠m BAC must equal 95°-61°, which is equal to 34°

The required container can hold approximately 1570.8 cubic inches of soil.

By enclosing units in containers—that is, by circling, boxing, or otherwise enclosing units—container numbers indicate magnitude. The worth of each container's contents is multiplied by the number system's fundamental unit. Typically, the basis is either 2 or 10 (the decimal system) (the binary system).

To find the volume of the container, we can use the formula for the volume of a cylinder:

[tex]$$ V = \pi r^2 h $$[/tex]

where r is the radius of the base (half the diameter) and $h$ is the height of the cylinder.

In this case, the diameter of the container is 10 inches, so the radius is half that, or 5 inches. The height is given as 20 inches. Substituting these values into the formula, we get:

[tex]$$ V = \pi (5\text{ in})^2 (20\text{ in}) = \pi (25\text{ in}^2)(20\text{ in}) \approx 1570.8 \text{ in}^3 $$[/tex]

Therefore, the container can hold approximately 1570.8 cubic inches of soil.

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Complete question:

Thomas loves tomatoes he plans to fill the container with soil to grow his own tomato plant the diameter of the container is 10 inch and height 20 inch how much soil will the container hold.

The exponential equation that models the population of Lime County would be: y = 711,500(0.979)^x

We can use the information from the question. When Leslie moved to Lime County, the population was 711,500, i.e.:

Let's then use this information to set up two equations:

Let's now substitute the value of a into the second equation:

Therefore, we find the exponential equation that models the population of Lime County, which is:

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Answer: To draw a trend line that models the given data set, we first need to plot the points on a graph. We can use a scale of 1 unit on the x-axis and 5 units on the y-axis to plot the points as follows:

(1, 27.5)    ●

(4, 35)      ●

(7, 42.5)    ●

(10, 50)     ●

(13, 57.5)   ●

We can see that the points roughly form a straight line. To find the equation of the trend line, we can use linear regression, which involves finding the line that best fits the data.

Using a calculator or software, we can find that the equation of the trend line is:

y = 3.5x + 24

This means that for every increase of 1 unit in x, y increases by 3.5 units. The y-intercept of the trend line is 24, which represents the value of y when x = 0.

We can plot the trend line on the same graph as follows:

     |                          

  60 |-●-                        

     |  |                        

  55 |-●-----                  

     |    |                    

  50 |-●-------                

     |      |                  

  45 |-●--------              

     |        |                

  40 |-●----------            

     |          |              

  35 |-●------------          

     |            |            

  30 |-●--------------        

     |              |          

  25 |-●-----------------      

     |                |        

     --------------------      

        1   4   7   10  13      

The dots represent the original data points, and the line represents the trend line.

Step-by-step explanation: