Aiden has $6,000 in an account. The interest rate is 5% compounded annually. To the nearest cent, how much will he have in 5 years?

Answer:

Volume in terms of pi is 24

Step-by-step explanation:

formula for volume is pi x radius squared x height

3.14 x [tex]2^{2}[/tex] x 6=

75.36 then divide by pi

75.36/3.14=24pi in[tex]^{2}[/tex]

From the figure given above, angel < ABE = 40°

The angle of a straight line = 180°

That is angle <ABC = 180°

If <EBC is = 140°

Therefore, <ABE = 180 - 140

= 40°

Therefore, from the figure given above, angel < ABE = 40°

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Answer:

the answer is 5 and (-7,5)

Step-by-step explanation:

The radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.

Given that:

The points at which the circle is centered are (-3,2)

Passing points = (1,5)

The radius is calculated using the distance formula:

d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

Substituting the coordinates, we have:

d =[tex]\sqrt{({1 - (-3))^2 + (5 - 2)^2[/tex]

 = [tex]\sqrt{(1 + 3)^2 + (5 - 2)^2[/tex]

 =[tex]\sqrt{(4^2 + 3^2)[/tex]

 = [tex]\sqrt{(16 + 9)[/tex]

  = 5

Therefore, the radius of the circle is 5 units.

The equation of a circle with center (h, k) and radius r is given by:

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

Substituting the values, we have:

[tex][-7 - (-3)]^2 + (y - 2)^2 = 5^2[/tex]

[tex](-7 + 3)^2 + (y - 2)^2 = 25[/tex]

[tex](-4)^2 + (y - 2)^2 = 25[/tex]

[tex]16 + (y - 2)^2 = 25[/tex]

[tex](y - 2)^2 = 9[/tex]

Taking the square root of both sides, we have:

y - 2 = ±3

Solving for y, we have two possible values:

y - 2 = 3    

y = 5

y - 2 = -3

 y = -1

The points (-7, 5) and (-7, -1) both lie on the circle.

Thus, the radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.

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Answer:

D

Step-by-step explanation:

1/2 is not equal to 1/2.5 is not equal to 0.5/2.25.

Answer:

multiply them all together

Answer:

130 cm³

Step-by-step explanation:

Volume of the pyramid = 1/3 × base area × height

Calculating base area;

Area = length × width

= 8 × 7

= 56 cm²

Now, Volume = ⅓ × 56 × 7

= ⅓ × 392

= 130.6 cm³.

Answer:

y=4

Step-by-step explanation:

steps

3×9+4y=43

4y=43-27

4y=16

Divide both side by 4

4y/4=16/4

y=4

Answer:

y-6.7=0* (x+3)

Step-by-step explanation:

Answer:

Yes, Sophia is correct

Step-by-step explanation:

The expression is correct and if you solve it, you get 23 which should be her uncle's age.

Answer:

radius = 40 / 2 = 20ft

Circle area = πr² = π × 20² = 1256.6 sq. ft

Answer:

2: area is ≈153.93804 and circumfrence is ≈43.9823

3: area is ≈706.85835 and circumfrene is ≈94.24778

Step-by-step explanation:

The formula for area is A = pi r^2

for 2 you would plug 7 in for r, then square it, then multiply it by pi.

for 3 you would divide the diameter, 30, by 2 to get r (15), then square it then multiply by pi.

The formula for cirumfrence is C = 2 pi r

for 2 you would multiply 7 by 2, then multiply that by pi

for 3 you dont need to do much since the diameter (30) is already 2r. Basically all you need to do for that one is multiply 30 by pi

Answer:

$2,422.50

Step-by-step explanation:

$2,850- 15% (427.5)= 2422.5

You could also multiply $2850 * 0.85= $2,422.5

[tex]f(x) = 3x^{-1}\\\\f'(x) = 3(-1) x^{-1-1} = -3x^{-2}\\\\f''(x) = -3(-2)x^{-2-1} = 6x^{-3}\\\\f'''(x) = 6(-3)x^{-3-1}=-18x^{-4}\\\\f''''(x) = -18(-4)x^{-4-1} = 72x^{-5}[/tex]

[tex]\text{The fourth derivative of f(x) is}~ 72x^{-5}.[/tex]

Answer:

1) 16 : 30

2) 8 : 15

3)  [tex]\displaystyle \frac{8}{15}[/tex]

Step-by-step explanation:

Boys = 14

Girls = 16

Total students:

= 14 + 16

= 30

Ratio of Girls to total number of students in class:

= 16 : 30

÷2     ÷2

= 8 : 15

= [tex]\displaystyle \frac{8}{15}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer: y = (x/2)°

Step-by-step explanation:

The two angles are because they are opposite angles.

the measure of the radius is 2.9

The given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have given a polynomial:

x² + 4x + 7

As we know, the monomial has only one term.

The binomial has two terms.

The trinomial has three terms.

As we can see in the given polynomial there are three terms which is x², 4x, and 7.

Thus, the given polynomial x² + 4x + 7 is not a monomial it is a trinomial because there are three terms which is x², 4x, and 7.

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Answer:

I dont see a correct answer but
D= 58t

Answer:

Here is the answer...hope it helps

Step-by-step explanation:

one million, two hundred thirty-four thousand, seven hundred sixty-one

Answer:

20

Step-by-step explanation:

count the dots

Answer:

20 students

Step-by-step explanation:

You just need to count the number of dots.

hope this helps

have a good day

Answer :

the probability of tossing three heads in a row

[tex]=\left( \frac{3}{8} \right)^{3} =\frac{27}{512} =0.052734375[/tex]

…………………………………………

the probability of tossing two heads followed by one tail

[tex]=\left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{45}{512}[/tex]

……………………………

the probability of two heads and one tail in any order

[tex]=3\times \left( \frac{3}{8} \right)^{2} \times \left( \frac{5}{8} \right) =\frac{135}{512}[/tex]

Answer:

32x^10y

Explanation -

You want to use distributive property. Take 2x^5 and the Exponent 2y^5

It should look like this

Answer:

The theoretical probability of rolling a 4 on any given roll for a six-sided die is [tex]\frac{1}{6}[/tex], The experimental probability of rolling a 4 is [tex]\frac{6}{25}[/tex].

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that Base radius of cone is 6 cm and height is 10 cm and we need to find volume of the cone. Volume of cone is given by:

[tex] \\ \: \: \dashrightarrow \: \: \: \underline{\boxed{\pmb{\sf{Volume_{(cone)} = \dfrac{1}{3} \pi r^2 h }}}} \\ \\ [/tex]

On Substituting the required values, we get:

[tex] \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1}{3} \times \pi \times {(6)}^{2} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \frac{1} {\cancel{3}} \times \pi \times \cancel{36} \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: Volume_{(cone)} = \pi \times 12 \times 10 \\ \\ \\ \: \: \dashrightarrow \: \: \sf \: \: { \purple{Volume_{(cone)} =120 \pi \: cm^3 }}\\ \\ [/tex]

Answer:

3 = x

Step-by-step explanation:

Well, the two unknown sides share the same size due to the same angle, so now, using the fact we only have the info about one side, we need to do a reverse pythagorean theorem.

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

Our a and b are the same, so I will change them to "x" and combine them.

[tex]c^{2} = 2(x)^{2}[/tex]

Now we plug in our "c" and square it ("C" in this case is: [tex]3\sqrt{2}[/tex] )

[tex]18 = 2(x)^{2}[/tex]

[tex]9 = x^{2}[/tex]

3 = x

Answer:

(-4 , 2)

Step-by-step explanation:

      3y - 2x ≥ 8

The ordered point (-4 ,2) satisfies the inequality. So, (-4,2) is the solution for the equation.

3*2 - 2*(-4) ≥ 8

     6 + 8  ≥ 8

         14  ≥ 8