A quantity with an initial value of 240 grows exponentially at a rate of 9.5% every 2 decades. What is the value of the quantity after 52 years, to the nearest hundredth?

Answer:

Step-by-step explanation:

m1 = 300

m2= 300(1+.05) = 300(1.05)

m3 = 300(1.05)(1.05)

m4= 300(1.05)(1.05)(1.05)

each subsequent month is the previous month times "1 + .05"

the "one" preserving the running total, and the extra ".05" adding the 5%

the repeating (1.05)(1.05)(1.05) is notational simplified using exponents

(1.05)(1.05)(1.05) = [tex](1.05)^{3}[/tex]

Answer:

254.5

Step-by-step explanation:

Area = πr²

= π×9²

= 81π

= 254.5 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

121

Step-by-step explanation:

Given,

a = 4

b = 5

a² + ab² + b²

= 4² + 5 x 4² + 5²

= 16 + 80 + 25

= 121

Answer:

A and B

Step-by-step explanation:

A and B are the correct options

Answer:

9x-10y+60=0

Step-by-step explanation:

slope is,

m = (6-(-3))/(0-(-10))

= 9/10

b = -3-(9/10)×(-10)

= 6

So, the equation of the line is,

y = 9x/10+6

or, 9x-10y+60=0

Answered by GAUTHMATH

Answer:

56.52 mm

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *

C = 2 * 3.14 * 9

C = 56.52

Answer:

[tex]56.52\text{ mm}[/tex]

Step-by-step explanation:

The circumference of a circle with radius [tex]r[/tex] is given by [tex]A=2r\pi[/tex].

We're given a radius of 9 mm and told to use [tex]\pi=3.14[/tex]. Substituting these values, we get:

[tex]A=2(9)(3.14),\\A=\boxed{56.52\text{ mm}}[/tex]

Answer:

centre = (- 1, - 2 ) , radius = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + 2x + y² + 4y = 20

To obtain equation in standard form use method of completing the square

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(2)y + 4 = 20 + 1 + 4

(x + 1)² + (y + 2)² = 25 = 5² ← in standard form

with centre = (- 1, - 2 ) and r = 5

Answer:

C. -7

Step-by-step explanation:

See the picture for steps :)

Answer:

x=[tex]\frac{3}{2}[/tex] and x=[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{36x^2-60x+25}=4[/tex]

=> [tex]\sqrt{36x^2-60x+25}^{2} =4^{2}[/tex]

=> [tex]{36x^2-60x+25}=16[/tex]

=> [tex]36x^2-60x+25-16=16-16[/tex]

=> [tex]36x^2-60x+9=0[/tex]

=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}}{2\cdot \:36}\\\\\sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}=48[/tex]

=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \:48}{2\cdot \:36}[/tex]

=>[tex]x_{1} = \frac{-\left(-60\right)+48}{2\cdot \:36}\\\\x_{1}=\frac{60+48}{2\cdot \:36}\\\\x_{1}=\frac{108}{72} \\\\\\x_{1}=\frac{3}{2}\\[/tex]

=> [tex]x_{2}=\frac{-\left(-60\right)-48}{2\cdot \:36}\\\\x_{2} =\frac{60-48}{2\cdot \:36}\\\\x_{2}=\frac{12}{2\cdot \:36}\\\\\x_{2}=\frac{12}{72}\\\\x_{2}=\frac{1}{6}[/tex]

Answer:

1280

Step-by-step explanation:

4d*(-5d)=-20(d)^2, d=-8. - 20*64=1280

Answer:

75.875m^2

Step-by-step explanation:

12-4=8

8x4=32

12x4=48

1/2(1.5+4)1.5=4.125

32+48-4.125=75.875

Answer:

(x+2,y-4)

Step-by-step explanation:

The correct answer is (x+2, y-4)

The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Translation is the movement of a point either up, left, right or down.

ABCD has vertices at A(-6, 2), B(-5, 4), C(-2, 4) and D(1, 2). If ABCD is translated 4 units down and 2 units right, the new point is A'(-4, -2), B'(-3, 0), C'(0, 0) and D'(3, -2)

The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).

Find out more on transformation at: https://brainly.com/question/1548871

Answer:

5

Step-by-step explanation:

Based on the given conditions, formulate

Evaluate the expression:

Calculate the power:

Calculate the first two terms:

Answer:

Answer:

4. SR= 17 (opposite angle of parallogram are equal)

Answer:

1. John still has 3 Apples

2. John now has 845679,63 Apples (I'm not sure if you've written the number of the multiplying fairy right...).

3. If the * is multiplying:

John now has 25937228,2 Apples.

Step-by-step explanation:

Just use the calculator.

Answer:

There are no pictures but the dialtion would be the same figure but in an increased size. If you add pictures I can give you a more definite answer

Answer:

here you go!!

Hope it helps

Pls mark me a brainliest

Step-by-step explanation:

Answer:

The answer is A. [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].

Step-by-step explanation:

To find the difference of this problem, start by simplifying the denominator, which will look like [tex]\frac{3}{x+7}-\frac{42}{(x+7)(x-7)}[/tex]. Next, multiply [tex]\frac{3}{x+7}[/tex] by [tex]\frac{x-7}{x-7}[/tex]  to create a fraction with a common denominator in order to subtract from [tex]\frac{42}{(x+7)(x-7)}[/tex]. The problem will now look like [tex]\frac{3}{x+7}*\frac{x-7}{x-7}-\frac{42}{(x+7)(x-7)}[/tex].  

Then, simplify the terms in the problem by first multiplying [tex]\frac{3}{x+7}[/tex] and [tex]\frac{x-7}{x-7}[/tex], which will look like [tex]\frac{3(x-7)}{(x+7)(x-7)}-\frac{42}{(x+7)(x-7)}[/tex]. The next step is to combine the numerators over the common denominator, which will look like [tex]\frac{3(x-7)-42}{(x+7)(x-7)}[/tex].

Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of [tex]3(x-7)-42[/tex], which will look like [tex]\frac{3(x-7-14)}{(x+7)(x-7)}[/tex]. Then, subtract 14 from -7, which will look like [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex]. The final answer will be [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].    

Answer:

-7*6^n

Step-by-step explanation:

The sequence is -7*6^n.

A few examples of this are the following,

ex.)

-7*6^0 = -7

-7*6^1 = -42

-7*6^2 = -252

Answer: See explanation

Step-by-step explanation:

The question isn't complete. Here is the completed question that I got online.

Fifteen hundred (1500) randomly selected South Carolina kindergarten

students were observed on the first day of school to determine if they knew how to tie a shoe. Using this information, please identify the following: Population:

Sample:

Variable:

Sample Size:

Sample Space:

The variable is: (qualitative/quantitative)

If 40% of the observed students knew how to tie their shoes, how many of the 58,135 kindergarten students in SC can we expect to know how to tie their shoes?

Sample: The sample is 1500.

Variable: This is the number of students who know how to tie their shoes.

Sample Size: 1500

Sample Space: The total number of students in South Carolina kindergarten

The variable is quantitative since they're counted.

If 40% of the observed students knew how to tie their shoes, therefore the number from the 58,135 kindergarten students in SC that can be expected to know how to tie their shoes will be:

= 40% × 58135

= 0.4 × 58315

= 23254

Answer:

Domain x ≥ - 5

Range y ≥ - 2

Step-by-step explanation:

x ≥ - 5

y ≥ - 2

Answer:

C

Step-by-step explanation:

The center of the large circle is Center D. It has can area of 900 pi square units. This means that according to the formula of the area of circle,

[tex]\pi {r}^{2} [/tex]

Since Point D is the center of the large circle, by definition of a circle, diameter, and radius.

The area of the 3 small circles are equal so this means that the radius,any physical characteristics of the 3 circles are equal.

This means that each diameter of the 3 circles equally divide the diameter of the large circle into 3 equal parts.

This means Circle C diameter is 20.

Circumference is

[tex]\pi d[/tex]

The diameter is 20 so the circumference of Circle C is

[tex]20\pi[/tex]

Answer:

C

Step-by-step explanation:

hope it helps!!!!!!!!!!

Answer:

11314.87379 (This is still rounded).

Step-by-step explanation:

Year 1:

9300*4%=372. 9300+372=9672.

Year 2:

9672*4%=386.88. 386.88=10058.88.

Year 3:

10058.88*4%=402.3552. 402.3552+10058.88=10461.2352.

Year 4:

10461.2352*4%=418.449408. 418.449408+10461.2352=10879.68461

Year 5:

10879.68461*4%=435.1873843. 435.1873843+10879.68461=11314.87379.

Answer:

Step-by-step explanation:

Let's try all of them one by one.

Our equation is 4x + 2y + 3 = 19.

A:

20 + 6 + 3 = 19

Not quite!

B:

16 + 10 + 3 = 19

Still not it!

C:

12 + 4 + 3 = 19

We got it!

But still, we check D.

8 + 10 + 3 = 21

Nope.

C (or the 3rd option) is our answer.

I hope this helped.

Answer:

-5^ 5

Step-by-step explanation:

-5^7 ÷ -5^2

We know that a^b ÷ a^c = a^ (b-c)

-5^(7 - 2)

-5^ 5

Answer:

C

Step-by-step explanation:

subtract exponents

Answer:

-8

Step-by-step explanation:

Use PEMDAS (solve for parenthesis first):

4(2 + -3)2

4(2 - 3)2

4(-1)2

(-4)2

-8

4(2 + 3) 2

=4. 5. 2

=4 0

The best answer from the choices provide is x = -1 or x = -1

Given the expression

[tex]x^2 + 2x + 1 = 0[/tex]

Factorizing the given expression

[tex](x^2 +x)+(x + 1) = 0\\[/tex]

Factor out the common variable from both brackets

[tex]x(x+1)+1(x+1)=0\\(x+1)(x+1)=0\\x+1 \ and \ x+1=0\\x =0-1 \ and \ x=0-1\\x=-1 \ and \ x =-1[/tex]

Hence the best option is x = -1 or x = -1

Learn more about factorization here: https://brainly.com/question/16099992

The solutions for [tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex] are [tex]x_{1} = x_{2} = -1[/tex].

We can estimate the roots by a numerical approach, which consists in evaluating the quadratic function ([tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex]) for a set of values of [tex]x[/tex]. We consider the set of values between [tex]-4\le x \le 4[/tex]:

[tex]\,\,\,\,\,\,x \,\,\,\,\,\,\,\,f(x)\\-4\,\,\,\,\,\,\,\,\,\,\,\,9\\-3\,\,\,\,\,\,\,\,\,\,\,\,4\\-2\,\,\,\,\,\,\,\,\,\,\,\,1\\-1\,\,\,\,\,\,\,\,\,\,\,\,0\\.\,\,\,0\,\,\,\,\,\,\,\,\,\,\,\,\,1\\.\,\,\,1\,\,\,\,\,\,\,\,\,\,\,\,\,4\\.\,\,\,2\,\,\,\,\,\,\,\,\,\,\,\,\,9\\.\,\,\,3\,\,\,\,\,\,\,\,\,\,\,\,\,16\\.\,\,\,4\,\,\,\,\,\,\,\,\,\,\,\,\,25\\[/tex]

According to the previous input, we conclude that roots of the quadratic formula are [tex]x_{1} = x_{2} = -1[/tex].

The solutions for [tex]f(x) = x^{2}+2\cdot x + 1 = 0[/tex] are [tex]x_{1} = x_{2} = -1[/tex].

Answer:

84,3 ° Sureste

Step-by-step explanation:

El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.

La dirección del avión es la dirección de la velocidad resultante.

Si esta dirección es θ

θ = tan ^ -1 (400/40)

θ = 84,3 ° Sureste

Answer:

y^7

Step-by-step explanation:

We know that a^b / a^c = a^( b-c)

y^9/y^2

y^(9-2)

y^7

Answer:

Step-by-step explanation:

The rule for division when the bases are like is to subtract the exponents:

[tex]\frac{y^9}{y^2}=y^{9-2}=y^7[/tex]

[tex]x^{2}[/tex]-2x+1=0

[tex](x-1)^{2}[/tex]=0

x-1=0

x=1

Answer:

A

Step-by-step explanation: