You put $125.32 at the end of each month in an investment plan that pays 2.5% interest, compounded monthly. how much will you have after 23 years? round to the nearest cent. a. $46,683.28 b. $4,564,471.88 c. $2,949.39 d. $3,832.84

Answer:

27.6

Step-by-step explanation:

1) Say bens depth is x

Cam's depth is x + 4.2

Andrew's depth is x + 4.2 + 16 or x + 11.8

1) andrew's depth = x + 11.8, where x is 15.8.

Therefore, his depth is 27.6 meters.

Answer:

4 red marbles

Step-by-step explanation:

r is the number of red marbles then green marbles is 9r , so

r + 9r = 40

10r = 40 ( divide both sides by 10 )

r = 4

there are 4 red marbles

Answer:

1-2

Step-by-step explanation: because it went up in speed by 8 and the rest went up not even to 7

Based on the table, we can deduce that the annual rate of increase of the speed was the greatest: A. from year 1 to year 2.

Speed can be defined as the distance covered by an object per unit of time. Thus, speed can be measured as meter per seconds.

Mathematically, speed is given by this formula;

[tex]Speed = \frac{distance}{time}[/tex]

Based on the table, we can deduce that the annual rate of increase of the speed was the greatest from year 1 to year 2.

Rate = 46 - 38 = 8.

Read more on speed here: brainly.com/question/10545161

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

The length of an arc is given by the formula,

[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}[/tex]

where

θ is the angle, which arc creates at the centre of the circle in degree.

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as

[tex]\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}[/tex]

                            [tex]= 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m[/tex]

Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

Learn more about Lenght of the Arc:

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Answer:

Its 3 because the radius if half of the diameter

Step-by-step explanation:

Answer:

₹ 318.96.

Step-by-step explanation:

24/12 = 2 , so twice as much;

159.48 * 2 = 318.96

I suppose, your answers are already given at the bottom of this page..

Using proportions, it is found that the birth rate fell to 13.5 births for every 1000 people.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, for 306,370,370 people, there were 4,136,000 births. How many births were there for 1,000 people? The rule of three is given by:

306,370,370 people - 4,136,000 births

1,000 people - x births

Applying cross multiplication:

306370370x = 1000 x 4136000

x = 1000 x 4136000/306370370

x = 13.5

The birth rate fell to 13.5 births for every 1000 people.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

The last option: bottom right

Step-by-step explanation:

Answer:

420

Step-by-step explanation:

V = whl is the volume of a rectangular prism. w*h is the area, so V is area times height.

This gives us: V = 30 * 14 = 420.

The BAC of the female is an illustration of proportion

BAC is calculated using:

BAC = Alcohol consumed/(Body Weight * R)

The weight is given as:

Body weight = 140 lb

Convert to kg

Body weight = 63.5 kg

For female

R = 0.55

So, we have:

BAC = Alcohol/(63.5 * 0.55)

BAC = Alcohol/34.925

BAC = 0.029Alcohol

The weight or volume of the alcohol consumed is given.

So, we represent it with w.

BAC = 0.029w

Hence, the BAC after consuming the three drinks is 0.029w

We have:

BAC1 = 0.029w

Time (t) = 3 hours

The BAC after 3 hours is

BAC = BAC1 * (t - 0.015)

So, we have:

BAC = 0.029w * (3 - 0.015)

Evaluate the product

BAC = 0.087w

Hence, the BAC three hours after consuming the drinks is 0.087 w

Read more about BAC at:

https://brainly.com/question/1781657

Answer:

B

Step-by-step explanation:

4(-2)-8 = -16, so not C
4(-1)-8 = -12, so not A or D
4(0)-8 = -8, so not D
4(1)-8 = -4, so not A or D
4(2)-8 = 0, so not D

Answer:

x coordinate is +3 and y coordinate is +1

Step-by-step explanation:

just count three squares right and one square down from D

The confidence interval would help Lucy determine the probability that a parameter will fall between two values around the mean.

The question is incomplete, as the needed parameters to answer the question are missing.

So, I will list the normal conditions for constructing the confidence interval

The condition for constructing the confidence interval include:

Read more about confidence interval at:

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Answer:

480

Step-by-step explanation:

[tex]80*6[/tex] = 480

Answer:

She will travel 480 miles in 6 hours

Step-by-step explanation:

All you need to do is Multiply 80 by 6 to get an answer of 480.

Hope that helps!

Answer:

If it is a conjunction that uses the word and, the solution must work in both inequalities and the solution is in the overlap region of the graph. If it is a disjunction that uses the word or, the solution must work in either one of the equations.

Step-by-step explanation:

Answer:

A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).

Work Shown:

Estimate = 1.25*(actual time)

Estimate = 1.25*(16)

Estimate = 20

Bryan estimated it would take 20 minutes.

Note: The multiplier 1.25 represents an increase of 25%

Answer:

483

Step-by-step explanation:

I really really pray and hope this helpss.

Answer:

X=3(7+23)

Step-by-step explanation:

[tex]\frac{1}{2a}[/tex]

Simplify or expand

[tex](2a)^{-1}[/tex]

Simplify using negative exponent rule [tex]a^{-n}=\frac{1}{a^n}[/tex]

[tex]\frac{1}{2a}[/tex]

I hope this helps you

:)

Answer: (All below)

Step-by-step explanation:

1. 2x + y = 10

2(3) + 4) = 10

6 + 4 = 10

2. 3x + 2y =

3(3) = 2(4) =

9 + 8 = 17

3. 3y + 2x = 18

3(4) + 2(3) = 18

12 + 6 = 18

4. 10x + 4y + 2x = 52

10(3) + 4(4) + 2(3) = 52

30 + 16 +6 = 52

46 + 6 = 52

5. 6y + 5x =39

6(4) + 5(3) = 39

24 + 15 = 39

6. 7x + 4y = 37

7(3) + 4(4) = 37

21 + 16 = 37

7. 2(x+4) + 10 = 28

2( 5 + 4) + 10 = 28

2(9) + 10 = 28

18 + 10 = 28

8. 3(4x) + 4 = 64

3(4(5)) + 4 = 64

3(20) + 4 = 64

60 + 4 = 64

9. 10(xy) = 300

10(5(6)) = 300

10(30) = 300

10. 2(x + y) = 22

2(5 + 6) = 22

2(11) = 22

11. 3(rs) + 4(x)

3(2(3)) + 4(5) =

3(6) + 20 =

18 + 20 = 38

12. 2(q) + 2(x + t) = 20

2(1) + 2(5 + 4) =  20

2 + 2(9) = 20

2 + 18 = 20

13. 6(3t + 4s) = 84

6(3(1) + 4(3)) = 84  

6(2 + 12) = 84

6(14) = 84

14. 10(10x) + 10y = 560

10(10(5)) + 10(6) = 560

10(50) + 60 = 560

500 + 60 = 560

15. x(xy) = 150

5(5(6)) = 150

5(30) = 150

16. r(s)(t) = 24

2(3(4)) = 24

2(12) = 24

17. (r)(s)(t)(x)(y) =720

(2)(3)(4)(5)(6)= 720

6(20)(6) = 720

120(6) = 720

18. 6(2x + 3Y) = 1080

6(2(5) + 3(6)) = 1080

6(10 + 18) = 1080

6(180) = 1080

Answer:

406.08

Step-by-step explanation:

First FInd the area of the rectangle : which is short side * long side

-> 15*12=180m

Then find the area of the half circle, the formula of the area of a circle is [tex]\pi r^2[/tex]

here it's half a circle so it's [tex]\frac{\pi r^2}{2}[/tex] where r is 12

-> [tex]3.14\cdot \frac{\left(12\right)^2}{2}=226.08 m[/tex]

Finally just add the area of the rectangle with the area of the half circle

-> [tex]180+226.08=406.08 m[/tex]

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

First, we find out the length of EH, which is 7. And then, we find the length of GH, which is 3. If we square both the numbers and add them, we get 53. And then we square root that to get [tex]\sqrt{53}[/tex]

Hope this helps <:)

Don't forget to put brainliest!

Answer:

1.451 seconds.  Hurry.

Step-by-step explanation:

The position(height, h) of the foot ball will be given by the equation:

h = -32.2t^2 + 45t + 2.5

The term -32.2t^2 consists of the acceleration caused by gravity at Earth's surface ( -32 ft/sec^2) and the term +45t accounts for the initial velocity.  The + is assigned since the ball is moving vertically from ground.  The negative sign in -32t^2 is due to the acceleration being towards ground.  The term 2.5 accounts for the fact that the initial height of the ball is 2.5 feet above ground.

We can either calculate or graph with this function to find the time the ball spends in the air:

Calculate:

h = -32.2t^2 + 45t + 2.5

We need a value of t that would cause h to be 5.5 feet, the level it was caught:

5.5 = -32.2t^2 + 45t + 2.5

-32.2t^2 + 45t + 2.5 = 5.5

-32.2t^2 + 45t -3.0  = 0

Solve for t using the quadratic formula.  I get a value of 1.33 seconds.

Graph:

See the attached graph.  It confirms the 1.33 second value

Answer:

is equal to 925 i think cuz

Step-by-step explanation:

summation of arithmetic sequence

n=1 , 3n-2=3-2=1 , a=1, d=3.

sn=n+3n(n-1)

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

2

a=1 ,d=3 sn= n+3n(n-1)

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

2

S25=25+3×25(25-1)

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

2

25+900=925

so the answer will be 925

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Let's solve ~ ☂

⧠ Here, I'm using middle term split method :

[tex] \qquad\rightarrowtail \sf {x}^{2} + 6x + 8[/tex]

[tex] \qquad\rightarrowtail \sf {x}^{2} + 4x + 2x+ 8[/tex]

[tex] \qquad\rightarrowtail \sf {x(x}^{} + 4) + 2(x+ 4)[/tex]

[tex] \qquad\rightarrowtail \sf (x + 2)(x+ 4)[/tex]

[tex]\\ \rm\rightarrowtail x^2+6x+8[/tex]

[tex]\\ \rm\rightarrowtail x^2+4x+2x+8[/tex]

[tex]\\ \rm\rightarrowtail x(x+4)+2(x+4)[/tex]

[tex]\\ \rm\rightarrowtail (x+2)(x+4)[/tex]

Done!

Answer:

72pi cubic inches.

Step-by-step explanation:

area = pi r²

r = d / 2

r = 3

3² = 9

9pi x 8 = 72pi.

Answer:

27=mean. 30=Median

Step-by-step explanation:

trust me I know what I'm doing

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