How much money has to be invested at 2.9% interest compounded continuosly to have 34,000 after 18 years

Answer:

A= 12.56

Step-by-step explanation:

A= 3.14 x r^2

A= 3.14 x 2^2

Answer:

Step-by-step explanation:

We have the square and four triangles.

The formula of an area of a squre:

[tex]A_s=a^2[/tex]

We have a = 5.1 cm. Substitute:

[tex]A_s=(5.1)^2=26.01\ cm^2[/tex]

The formula of an area of a triangle:

[tex]A_t=\dfrac{ah}{2}[/tex]

We have a = 5.1 cm and h = 5.95 cm. Substitute:

[tex]A_t=\dfrac{(5.1)(5.95)}{2}=\dfrac{30.345}{2}=15.1725\ cm^2[/tex]

The Surface Area of the pyramid:

[tex]S.A.=A_s+4A_t[/tex]

Substitute:

[tex]S.A.=26.01+4(15.1725)=26.01+60.69=86.7\ cm^2[/tex]

Answer:

A) 12.5%

B) 50%

C) 50%

Step-by-step explanation:

For A, 7 is one of the 8 possibilities (1/8). 1/8 of 100 is 12.5, so your chance of spinning a 7 is 12.5%

For B, even numbers are 4/8 or 1/2 of your options. 1/2 of 100 is 50, so your chance of spinning an even number is 50%

For C, there are 4 out of 8 numbers that are prime (2,3,5, & 7).

4/8 or 1/2 of 100 is 50, so your chance of spinning a prime number is 50%

hope this helps

Answer:

Part 1) [tex]a^{b+2}=(x)(a^{2})[/tex]

Part 2) [tex]2a^{3b}+a^{2b}+a^{b}=2x^{3}+x^{2}+x[/tex]

Step-by-step explanation:

Part 1) Given that [tex]a^{b}=x[/tex] evaluate the following

[tex]a^{b+2}[/tex]

we know that

[tex]a^{b+2}=(a^{b})(a^{2})[/tex]

Remember that when multiplying two powers that have the same base, you can add the exponents

[tex]a^{b}=x[/tex]

so

substitute

[tex]a^{b+2}=(x)(a^{2})[/tex]

Part 2) Given that [tex]a^{b}=x[/tex] evaluate the following

[tex]2a^{3b}+a^{2b}+a^{b}[/tex]

we know that

[tex]2a^{3b}+a^{2b}+a^{b}=2(a^{b})^{3}+(a^{b})^{2}+a^{b}[/tex]

Remember that

[tex]a^{b}=x[/tex]

so

substitute

[tex]2a^{3b}+a^{2b}+a^{b}=2x^{3}+x^{2}+x[/tex]

Algebra Nation is an online educational platform that provides comprehensive resources and tutorials for learning algebra. Section 2 of Algebra Nation likely covers specific algebraic topics or concepts, such as equations, functions, expressions, or algebraic operations.

In this section, students may explore various algebraic principles and problem-solving techniques. Algebra Nation aims to make algebra more accessible and understandable for students, offering instructional videos, practice exercises, and opportunities for students to engage with algebraic concepts.

It's designed to support both teachers and students in their algebra education, fostering a deeper understanding of this critical branch of mathematics and helping students build a strong foundation for future mathematical endeavors.

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This question is not complete, Here I am attaching the complete question:

What key concepts or topics are covered in Algebra Nation Section 2, and how do these concepts relate to solving algebraic equations?

Answer:

The answer is 5.55

Step-by-step explanation:

To round 5.5454 to 2 decimal places, you look at the third and fourth decimal places. Since the digit in the fourth decimal place is 5 or greater, you round up the digit in the third decimal place, resulting in 5.55.

To round 5.5454 to 2 decimal places, we look at the digit in the third decimal place (5) and the digit in the fourth decimal place (4). Since the digit in the fourth decimal place is 5 or greater, we round up the digit in the third decimal place.

The rounded value will be 5.55.

Therefore, 5.5454 rounded to 2 decimal places is 5.55.

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The number of angles that are alternate exterior angles with angle 5 is equal to 1.

In Mathematics,  parallel lines are two lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.

In Mathematics, the alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles.

In conclusion, we can logically deduce that both m∠5 and m∠11 are alternate exterior angles because they lie outside the two (2) parallel lines and are located on opposite sides of the transversal.

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50x2=x

50 represents the red candies.

2 represents the other half of candies.

x represents the total amount of candies.

Hope this helps!

The equation representing the total number of candies in Meghan's jar, where x is the total, is x/2 = 50, giving us 100 candies in total. For Jenny's chocolates, Jenny initially had 14 chocolates before she ate two and gave half of the remaining to Lisa.

If Meghan discovered that half of the candies were red and she had 50 red candies, then to find the equation representing the total number of candies in the jar, we assign x to represent the total number. Since half of x is 50, the equation is x/2 = 50. To find x, we multiply both sides of the equation by 2, resulting in x = 100. Therefore, Meghan has 100 candies in total in her jar.

To address the question about Jenny and her chocolates: Initially, Jenny has some number of chocolates. When she eats two chocolates and gives half of the remainder to Lisa, and Lisa ends up with six chocolates, we can determine how many Jenny started with. Lisa's six chocolates represent half of what remained after Jenny ate two, which implies there were 12 before giving to Lisa, and so initially, Jenny had 14 chocolates.

ANSWER

[tex]lim_{x \to \: 0}( {x}^{2} - 1) = - 1[/tex]

EXPLANATION

The given limit is

[tex] lim_{x \to \: 0}( {x}^{2} - 1) [/tex]

To evaluate this limit by direct substitution,

We put x=0 in the function.

This implies that that ,

[tex] lim_{x \to \: 0}( {x}^{2} - 1) = {0}^{2} - 1[/tex]

This simplifies to,

[tex] lim_{x \to \: 0}( {x}^{2} - 1) = 0 - 1[/tex]

[tex] lim_{x \to \: 0}( {x}^{2} - 1) = - 1[/tex]

This means that as x-values approach zero, the function approaches -1.

Answer:

-1

Step-by-step explanation:

For direct substitution, all you have to do is fill in the limit for x and solve... so the limit would be 0 in this case.

x^2-1

0^2-1

-1

The answer is: mode

Mode can easily be remembered by saying “most” most=mode

Answer:

$14

Step-by-step explanation:

Sony paid for two scarves = $ 25

We are given that one scarf cost $3 more than the other

Let the cost of one scarf be x

So, cost of another scarf = x+3

Since the total cost is $25

So, [tex]x+x+3=25[/tex]

[tex]2x+3=25[/tex]

[tex]2x=22[/tex]

[tex]x=\frac{22}{2}[/tex]

[tex]x=11[/tex]

So, cost of one scarf = $11

Cost of another scarf = x+3=11+3=14

Hence the cost of the expensive scarf is $14

Answer:

Step-by-step explanation:

[tex]x^2+5x+4=0\\\\x^2+x+4x+4=0\\\\x(x+1)+4(x+1)=0\\\\(x+1)(x+4)=0\iff x+1=0\ \vee\ x+4=0\\\\x=-1\ \vee\ x=-4[/tex]

Answer:

-1

Step-by-step explanation:

Answer:

[tex]\large\boxed{x^2+y^2-10x+6y-47=0}[/tex]

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the center (5, -3) and the radius r = 9.

Substitute:

[tex](x-5)^2+(y-(-3))^2=9^2\\\\(x-5)^2+(y+3)^2=81[/tex]

Use

[tex](a\pm b)^2=a^2\pm2ab+b^2[/tex]

[tex]x^2-2(x)(5)+5^2+y^2+2(y)(3)+3^2=81\\\\x^2-10x+25+y^2+6y+9=81\\\\x^2+y^2-10x+6y+(25+9)=81\\\\x^2+y^2-10x+6y+34=81\qquad\text{subtract 81 from both sides}\\\\x^2+y^2-10x+6y-47=0[/tex]

Answer :

27.5 minutes

Steps:

1) put into fraction form:

160/20 = 220/x

2) simplify:

160/20 = 8/1

3) cross multiply:

8 • x = 8x

220 • 1 = 220

4) divide on both sides:

8/8 = crosses out

220/8 = 27.5

Answer:

Not sure if this is the one you are looking for but

Which statement about the maximum wait time is correct?

The maximum wait time cannot be determined, but it is between 150 and 160 minutes.

The maximum wait time cannot be determined, but it is between 200 and 210 minutes.

The maximum wait time is 170 minutes.

The maximum wait time is 210 minutes.

B is the right answer

Step-by-step explanation:

edgy

Answer:

it is true

Step-by-step explanation:

Move all terms not containing  

n

to the right side of the equation.

Tap for more steps...

−

5n= -12

Divide each term by  

-5

and simplify.

Tap for more steps...

n=12 5

The result can be shown in multiple forms.

Exact Form:

n=12 5

Decimal Form:

n=2.4

Mixed Number Form:

n=225

False. Correct equation: [tex]\(2n - 7 = -5\)[/tex]. Your proposed equation [tex]\(7 - 5n = -5\)[/tex] does not accurately represent the relationship.

The answer is False.

Here's why:

1. The statement "seven less than twice a number" can be represented as [tex]\( 2n - 7 \)[/tex], where [tex]\( n \)[/tex] is the number.

2. The equation for "seven less than twice a number is negative five" should be [tex]\( 2n - 7 = -5 \)[/tex], as the phrase "is negative five" translates to the equation being equal to [tex]\( -5 \)[/tex].

3. Your proposed equation, [tex]\( 7 - 5n = -5 \)[/tex], is incorrect because it represents a different relationship. It suggests that [tex]\( 7 \)[/tex] subtracted by [tex]\( 5n \)[/tex] is equal to [tex]\( -5 \)[/tex], which does not align with the given statement.

4. To correct the equation, simply rewrite it as [tex]\( 2n - 7 = -5 \)[/tex], which accurately represents the relationship described in the statement.

Therefore, the statement is false because the given equation does not correctly represent the phrase "seven less than twice a number is negative five."

The answer is Undefined

Answer:

undefined

Step-by-step explanation:

The y-axis is a vertical line.

The point [tex](0,y_1)[/tex] and[tex](0,y_2)[/tex] lies on the y-axis.

The slope of this line is

[tex]=\frac{y_2-y_1}{0-0}[/tex]

[tex]=\frac{y_2-y_1}{0}[/tex]

Division by zero is undefined.

All vertical lines have undefined slopes because they are parallel to the y-axis.

Therefore the slope of m is undefined.

Answer:

y = 15

x = 59

Step-by-step explanation:

move the -3 over to the -12 side. then divide by -1 on both sides getting:

{ y = 15

{ x- 3y = 14

change the y in the second equation to get:

x - 3 (15) = 14

x - 45 = 14

  +45 = +45

x = 59

hope this helps!!

Answer:

Last option: [tex]A=2\pi rh[/tex]

Step-by-step explanation:

 If  the shell of a bass drum was cut down one side and laid flat, the resulting shape would be a rectangle.

The area of a rectangle can be calculated with the formula:

[tex]A=l*w[/tex]

Where l is the lenght and w is the width.

In this case, the lenght of the rectangle obtained (the lenght of the shell)  is the circumference of the drum.

Remember that the circumference of the circle can be calculated with:

[tex]C=2\pi r[/tex]

Where r is the radius of the circle.

Then:

[tex]l=2\pi r[/tex]

The width is the height of the shell:

[tex]w=h[/tex]

Then, substituting into [tex]A=l*w[/tex], you get:

[tex]A=2\pi rh[/tex]

5 tenths, 82 hundredths, 0.9

Answer:

5 tenths, 82 hundredths, 0.9

Step-by-step explanation:

Let's convert these all to a decimal...

5 tenths = 5/10 which is 0.5

82 hundreths = 82/100 which is 0.82

0.9 = 0.9

Now you can order them can't you?

0.5, 0.82, 0.9

Answer:

Step-by-step explanation:

The following have 3 significant figures:  85.3, 121.

The following have more or fewer significant figures than 3:  36.05, 50

Answer:

The y-intercept would be between 0 and -4 likely about -3.

Step-by-step explanation:

The y-intercept would be between 0 and -4 likely about -3.

Since the parabola has an axis of symmetry at x = 1 and a minimum of y = -4 then the vertex is (1,-4).

It has an x-intercept at x = -1 or (-1,0). This means from the vertex up to the x-intercept the function has to cross through the y-axis. This makes the y-intercept between 0 and -4 and likely at -3.

The y-intercept of the quadratic function given above is found to be at y = -3. This conclusion is reached by analyzing the vertex, its symmetry, and x-intercepts of the function, and applying these properties in the standard form of a quadratic function.

The subject of this question is the properties of a quadratic function in mathematics. The given characteristics provide us with enough information to determine the y-intercept of the function. Let's analyze the information.

Since the axis of symmetry is 'x = 1', we know that the vertex of the parabola is at (1, y). Also, because it has a minimum value of 'y = -4', we know the y-coordinate of the vertex is -4. Therefore, the vertex of the parabola is at (1, -4).

An x-intercept at 'x = -1' means that (-1, 0) is a point on the parabola. From the nature of the symmetry of parabolas, we know that if there is a point (a, 0) on the parabola, there will also be a point on the other side of the axis of symmetry at (2h-a, 0), where 'h' is the x-coordinate of the vertex. So, we can calculate the other x-intercept as (2*1 - (-1), 0), which gives us (3, 0). Thus, a point on the parabola is also (3, 0).

Equipped with the vertex (1, -4) and a point on the parabola (3,0), we can use the form of a quadratic function y = a(x-h)² + k to determine the quadratic function. Substituting coordinates of the vertex into the formula for h and k, and the coordinates of the point into the formula for x and y, we get 0 = a(3-1)² + (-4). From that, we can solve for 'a', which equals 1.

So, our quadratic function is y = (x-1)² - 4. To find the y-intercept (the point where the function crosses the y-axis, where x=0), we substitute x=0 into our function, which yields y = (0-1)² - 4 = -3.

The y-intercept of the parabola is at y = -3.

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Answer: $13795

Step-by-step explanation: .89 x 15500

The answer is 3x²

It’s actually pretty easy. If you have to like terms (in this case, they both have x²) then you just add the number in the front, or the coefficients! If it doesn’t have a number at the front ALWAYS assume it’s one.

2+1=3

2x²+(1)x²=3x²

The value of 2x² plus x² is; 3x².

According to the question;

The polynomial to be added are;

Hence;

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Answer:

1+12x

Step-by-step explanation:

First remove the parentheses

4-3-2x✖️(-6)

two negatives make a positive so multiply them

4-3+2x✖️6

Now calculate the product

4-3+12x

Subtract 4-3

1+12x

Then you are left with your answer:

1+12x

Hope this helps! :3

Answer:

O

Step-by-step explanation:

Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.

Here Angle O is equal to Angle O as they are vertical angles across a vertex.

Answer:

The correct option is 2.

Step-by-step explanation:

From the given figure it is clear that the lines DE║RK, in triangle ODE and triangle OKR,

[tex]\angle DOE=\angle KOR[/tex]                         (Vertical opposite angles)

[tex]\angle ODE=\angle OKR[/tex]                         (Alternate interior angles)

[tex]\angle OED=\angle ORK[/tex]                         (Alternate interior angles)

By using AA property of similarity,

[tex]\triangle DOE\sim \triangle KOR[/tex]

D is correspondence to K, O is correspondence to O, E is correspondence to R.

O ↔ O

Therefore the correct option is 2.

Answer:

Perpendicular

Step-by-step explanation:

Answer:

hi how are u

Step-by-step explanation:

Uhhh what are the coordinates of points X and Y? Please write in the comments so that I can help you.

Answer:

(2,-4)

Step-by-step explanation:

Use a variation of the midpoint formula : x = 1/4x1+3/4x2.

Also use this formula for the y coordinates as well.

For the x coordinate, you should get -5/2+9/2 which is 2.

For the y coordinate, you should get -1/4-15/4 which is -4.

Hope this helps.

The answer is 19, C, because the 2 biggest are cat & dog, the dog is 8 and the cat is 11, 11+8=19.