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?

Answers

Answer 1

Answer:  303.870087962229

Simplify ≈303.87

Step-by-step explanation:

Grows 9.5%→r=0.095 Divide by 100

Grows every 2 decades: exponent of t2

(where t is in decades)

Write a function:

f(t)=240(1+0.095) ^t/2 Percent change every 2 decades

52 years→52/10→5.2 decades There are 10 years in a decade

Plug in t=5.2

f(5.2)=240(1+0.095) 5.2/2

Answer:  303.870087962229

≈303.87

Round to the nearest hundredth


Related Questions

Someone please help me out!!!! Its a picture marking brainliest

Answers

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

PQRS is a parallelogram. Answer the questions below.

Answers

Answer:

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

evaluate each algebraic expression for the given values if the variable

[tex](4d)( - 5d)[/tex]
d= -8​

Answers

Answer:

1280

Step-by-step explanation:

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

PLEASE! I need Help. 50 POINTS!!

Answers

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

The translation of ABCD to A'B'C'D'
is given by (x+[?],y-[ ).
5
B
С
4
3
2
A А
D
C
1
B В
23 -2 -1 0
-1
-7 -6
-5
-4
1
2
3
4
2
A'
D'
Enter

Answers

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

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

what is the equation of the line that passes through the points (-10,-3) and (0,6)?

Answers

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 with the explanation step by step

Answers

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].    

Which
graph shows a dilation?

Answers

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:

The picture attached

Answers

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]

A circle has a radius of 9 mm. What is its circumference?
Use 3.14 for a

Answers

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]

4(2+-3)2?
I will give 10 points!

Answers

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

Using the following equation, find the center and radius:

x2 + 2x + y2 + 4y = 20

Answers

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

Center - ( -1, -2)
Radius -5



YOUR WELCOME:)))

Ai giải giúp mình giải bài này với
[tex]\sqrt{36x^{2} -60x+25} =4[/tex]

Answers

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]

số nào sau đây là nghiệm của đa thức x^2-2x+1

Answers

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

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

x-1=0

x=1

Un avión puede volar con la velocidad de 400 km por hora en atmósfera tranquila si cuando se dirige hacia el este el viento viene del Sur con la velocidad de 40 km por hora cuál es la dirección de su vuelo

Answers

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

Select the expression that represents the following statement: find the sum of 6 and 14 and divide by 4.


a (6 + 14) ÷ 4

b 14 ÷ 4 + 6

c 4 x 4 – 6

d 14 x 6 ÷ 4

Answers

I believe it’s A not sure tho

Answer:

A

Step-by-step explanation:

Rewrite the expression in the form y^n. y^9/y^2=

Answers

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]

if a = 4 b = 5 find the value of a^2+ab^2+y^2​

Answers

Answer:

121

Step-by-step explanation:

Given,

a = 4

b = 5

a² + ab² + b²

= 4² + 5 x 4² + 5²

= 16 + 80 + 25

= 121

What is the slope of the line given by the equation y=-7X? O A 7 OB. 7 O c. -7 O D. 7​

Answers

Answer:

C. -7

Step-by-step explanation:

See the picture for steps :)

Find a recursive rule for the nth term of the sequence.

-7, -42, -252, -1512, ...

Answers

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

Fifteen hundred randomly selected South Carolina kindergarten students were observed on the first day of school

Answers

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


Solve the quadratic equation numerically (using tables of x- and y-values).
x^2 +
+ 2x + 1 = 0
x = -1 or x = -1
x= -3 or x = -3
b.I x= -4 or x= -3
d. x = 2 or x = -1
a
C.
Please select the best answer from the choices provided
A
B
ОО

Answers

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].

methemetikcs but anyways yea I don't understand this I'm any way shape or form.​

Answers

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]

The radius of the large circle is 30.The diameter of the large circle is 60.

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

AD=30, DB=30, and AB=60.

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!!!!!!!!!!

Someone help me out please

Answers

Answer:

254.5

Step-by-step explanation:

Area = πr²

= π×9²

= 81π

= 254.5 (rounded to the nearest tenth)

Answered by GAUTHMATH

look at image above question and answers​

Answers

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.

Johnny has 304 apples, his sister ate 301 of them. How many apples does he have? After His sister ate the apples a magic fairy multiplied the apples by 281893.21 times. Now how many apples does Johnny have. After the faity multiplied the apples a demon can and divided the apples by pi * the square root of 9284. Now how many apples does Johnny have?

Answers

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.

HELPPP MEE PLEASE!!!
Consider the function shown on the graph.

Answers

Answer:

Domain x ≥ - 5

Range y ≥ - 2

Step-by-step explanation:

x ≥ - 5

y ≥ - 2

Which of the following expressions are equivalent

Answers

Answer:

A and B

Step-by-step explanation:

A and B are the correct options

1. Find the sum of csc230° and cot2 45°.​

Answers

Answer:

5

Step-by-step explanation:

Based on the given conditions, formulate

Evaluate the expression:

Calculate the power:

Calculate the first two terms:

Answer:

Find the principal amount invested if there is $9300 in the account after 5 years and earned 4% simple interest per year.

Answers

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.

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