The inaugural attendance of an annual music festival is 150,00. The attendance y increase by 8% each year. (a.) Write an exponential growth function that represents the attendance after t years.​

Answers

Answer 1

Answer:

y= 150,000(1+0.08)^t

Answer 2

The exponential growth equation is f ( x ) = 150,000 ( 1 + 0.08 )ˣ , where x is the number of years = t

What is exponential growth factor?

The exponential growth or decay formula is given by

x ( t ) = x₀ × ( 1 + r )ⁿ

x ( t ) is the value at time t

x₀ is the initial value at time t = 0.

r is the growth rate when r>0 or decay rate when r<0, in percent

t is the time in discrete intervals and selected time units

Given data ,

Let the initial value of the function be x₀ = 150,000

Now , the initial attendance = x₀

And , the percentage of increase every year r = 8 %

So , the equation will be

f ( x ) = x₀ × ( 1 + r )ˣ , where x is the number of years = t

Substituting the values in the equation , we get

f ( x ) = 150,000 ( 1 + 0.08 )ˣ

Hence , the exponential growth equation is f ( x ) = 150,000 ( 1 + 0.08 )ˣ

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Consider the two functions below which one of these functions in the line year what is its equation answer any answer totwo decimal places

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Step-by-step explanation:

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Answer:

He should give his sister 41.50 dollars.

Step-by-step explanation:

41.50 dollars he should give

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1. Write an equation representing this hanger

2. find the value (or "weight) of one circle (w).

3. Explain how you found the value of one circle (w)

I really have no idea what any of this is​

Answers

Answer:

1. 25÷4w

2. w=6.25

3.I divided 25 by 4 to find w

Step-by-step explanation:

Kevin can walk 14 miles in 5 hours. How far can he walk in 3 1/2 hours?

Answers

Step-by-step explanation:

If he can walk 14 miles in 5 hours, take 14÷5 to find out how long he can walk in 1 hour. (2.8)

Then take 2.8 miles times 3.5 hours is 9.8 miles

Find the area of the polygon 2cm 2cm 3cm in square centimeters​

Answers

Answer:

12sq cm

Step-by-step explanation:

For Area, we do lenth x width x height. Here, the lenth and the width is 2, so we do 2x2 which is 4. Next the height is 3 so we do 4x3 which is 12. There is your answer. Hope it helps!

answer the questions, please I will give you 10 points

Answers

A) 3 times 7x makes it a normal number of 21.
B) using PEMDAS you must multiply 5 times 5 to put 5 to its own power, then multiply by 2 to get 50, then add 4 getting 54.
C) 9 times 5y gets the normal number of 45, then subtract that from 80, you get 35.

If Matrix A is 4 x 4, and Matrix B is 4 x 3, what is the size of matrix AB? If AB is undefined, please state so.

Answers

I believe ab equals to 28!

PLZ HELP ASAP 30 POINTS (Plz show work)

Choose a trinomial to factor.
3x2 − 15x + 18
10a2 + 5a − 30
4n2 − 10n − 24

Answers

3x2-15x+18
=x-3+6

10a2+5a-30
2a-6

4n2 -10n-24
=2n-5-12

Answer:

x=6 x=-1

a=1.5 a=-2

n=-1.5 n=4

Step-by-step explanation:

(a) (b) (c)

10a2+5a-30

x=-b+-√b2-4ac/2a

a=-5+-√(5)2-4(10)(-30)/2(10)

a=-5+-√25+1200/20

a=-5+-√1225/20

a=-5+√1225/20

a=1.5

a=-5-√1225/20

a=-2

thank you to whoever helps

Answers

(3,1) would be the right answer

WILL MARK BRAINLEST AND THANKS Area: 28.67 sq m and the side is 4.7 m The missing side length is equal to:??? m

Answers

Answer:

The area of this is 28.67 meters squared

Step-by-step explanation:

You must use division in order to complete the question

the missing side length is equal to 6.1 ! to find the answer you take the area and divide it by the side you know (4.7)

What is the mode of the set of numbers below

25, 14, 33, 17, 14, 8
A. 14
B. 16
C. 17
D. 19

Answers

The mode is A. 14 because it’s showed 2 times
Mode is 14 I believe (A)

Explain why the denominator 8 in 8/4 is not changed when adding the fractions.

Answers

Answer:Some fractions may look different, but are really the same, for example: It is usually best to show an answer using the simplest fraction ( 1/2 in this case ). That is called Simplifying, or Reducingthe Fraction

Step-by-step explanation:

giving brainliest !!!!!

Answers

answer: 92/3(π)

formula for cylinder: π • r^2 • h
formula for sphere: 4/3 • π • r^3

plug in radius value (2) into the formulas and then find sum of the two volumes.

Please simplify the following trigonometric identity.

[tex]\displaystyle\frac{1}{\sec\alpha-\tan\alpha}[/tex]

Answers

Examining the question:

We are given the expression:

[tex]\frac{1}{Sec(\alpha)-Tan(\alpha)}[/tex]

We know from Basic trigonometry that:

[tex]Sec(\alpha) = \frac{1}{Cos(\alpha)}[/tex]

[tex]Tan(\alpha) = \frac{Sin(\alpha)}{Cos(\alpha)}[/tex]

Simplifying the expression:

Replacing these values in the given expression, we get:

[tex]\frac{1}{\frac{1}{Cos(\alpha)} -\frac{Sin(\alpha)}{Cos(\alpha)} }[/tex]

Since the denominator of both the values in the denominator is the same:

[tex]\frac{1}{\frac{1-Sin(\alpha)}{Cos(\alpha)} }[/tex]

We know that [tex]\frac{1}{\frac{a}{b} }[/tex] = [tex]\frac{b}{a}[/tex], using the same property:

[tex]\frac{Cos(\alpha)}{1-Sin(\alpha)}[/tex]

and we are done!

Answer:

cos a

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

1  -sin (a)

Step-by-step explanation:

We know that sec a = 1/ cos (a)  and tan a = sin (a) / cos (a)

1

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

1/ cos (a)  -sin (a) / cos (a)

Multiply the top and bottom by cos (a)

1* cos a

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

( 1/ cos (a)  -sin (a) / cos (a)) * cos a

cos a

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

1  -sin (a)

You run a hotel with 1465 rooms. You currently have 296 rooms reserved by individuals and 651 rooms reserved by groups for a particular upcoming weekend. Historical trends indicate that this far out from the date in question, your booking rates are probably 67% for individual reservations and 56% for group reservations. Do you expect to be undercooked or overcooked for the upcoming weekend

Answers

Answer:

Hotel is over booked by 140 rooms

Step-by-step explanation:

Total number of hotel rooms = 1465

number reserved by individuals = 296

number reserved by groups = 651

booking rates = 67% for individual ,  56% for groups

Determine if you are under booked or overbooked for the weekend

let X represent the number of rooms booked by individuals

and Y represent the number of rooms booked by groups

number of reserved room for individuals

= 67% of X = 296

X = 67% + 33%

   = 296 + ( (296 / 67 ) * 33 )

   = 296 + 146 ≈ 442

number of rooms reserved for groups

= 56% of Y = 651

Y =( 651 / 56 ) * 100

   ≈ 1163

Total rooms booked = X + Y

                                  = 442 + 1163 = 1605

To determine if under booked or over booked

Total rooms booked - Total number of hotel rooms

 =  1605 - 1465

 =  140 ( Your Hotel is over booked )

Select all the statements that describe a unit rate. You must select all of the correct ones to receive credit.



a
Pete sold 1 poster.
b
Michael drives 50 miles in 1 hour.
c
Karen paid $10 for each pizza.
d
Jared bought 4 shirts and 1 hat.
e
Elizabeth earned 5 points for every correct test question.
f
Kelly climbed 50 stairs.

Answers

The answer are b,c, and f

I need help. q – 12 = 1

Answers

Answer:

q=13

Step-by-step explanation:

Given q - 12 = 1

we need to find q

to do so we need to isolate the variable using inverse operations

so to get rid of the 12 we add 12 but whatever we do to one side we do to the other

so we add 12 to each side

-12+12 cancels our

1+12=13

we're left with

q=13

siny dy/dx=cosy (1-xcosy)

Answers

Step-by-step explanation:

hope it helpe...............

Pls someone help me with this question pls

Answers

Answer:

[tex]p =\frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]Polygons =\{Quadrilateral, Pentagon, Hexagon, Octagon, Nonagon, Decagon\}[/tex]

Required

Probability of assigning a nonagon

From the given set of polygons, there are 6 polygons in the set and 1 one of them is a nonagon

This means that:

[tex]n = 6[/tex] --- Total

[tex]Nonagons = 1[/tex]

So, the probability, p is:

[tex]p =\frac{Nonagons}{n}[/tex]

[tex]p =\frac{1}{6}[/tex]

If 20 kilograms equals about 44 pounds, how many pounds is 1 kilogram?

Answers

Answer:

2.2

Step-by-step explanation:

EN Sved. 10:22 AM
The triangle shown can be used
to represent a slope of
10
8
7
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9 10
1
Son
Use the Connect Line tool to
construct a similar triangle that
can also represent a slope of 3
This triangle should not be
congruent to the one shown.

Answers

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

PLS HELPPPPPP ME!!! ASAP​

Answers

Answer:

2.5

Step-by-step explanation:

Let x be the number of hours both people baby sit and y be the number of hours that they each earn.

Sarah:

y = 10 + 2.5x

Carly:

y = 7.5 + 3.5x

You know that the number of hours should be the same (y).

10 + 2.5x = 7.5 + 3.5x

Evaluate and find x.

10 - 7.5 = 3.5x - 2.5x

x = 2.5

What is the value of p?
x=1/4y^2

Answers

Answer:

The value of p is 1

Step-by-step explanation:

we know that  

The standard form of the equation of a horizontal parabola is

(y - k)² = 4p(I - h)

where

(h,k) is the vertex

p[tex]\neq[/tex] 0

if p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.

In this problem we have

I = [tex]\frac{1}{4}[/tex]y²

Convert to standard form

y² 4I

The vertex is the point (0,0)

4p = 4

P = 1 -----> p > 0, the parabola opens to the right  

What type of graph would the following data create? (0,2) (1,3) (2,4) is this a Positive slope linear graph

Answers

Answer:

Yes it's a positive linear graph

Step-by-step explanation:

Answer:

yes dear it's a positive linear graph.

how to rewrite equation 5x+7y-35=0 in slope intercept form?

Answers

Y equals 5 over 7x minus 5

find the average rate of change of the function y=f(x)=1/(x-1)^2-8 with respect to x on the interval -2≤x≤0

Answers

Answer:

The average rate of change is (f(3)-f(0))/3=(7-0)/3=7/3.

Step-by-step explanation:

Write the number shown in standard notation.
6.6 x 105
OA) 6,600
O B) 660,000
O C) 66,000
OD) 6,600,000

Answers

it is B because you have to remove the comma 5 places to the right side

I dont understand the first 4

Answers

Answer:

Let me see what i can do, I'll try. Hope this helps

find the area of the right triangle.​

Answers

Answer:

16 units²

Step-by-step explanation:

1/2x4x8=16

Carmine is packing 27 superballs in 3 square layers. Each ball has a diameter of 4 cm.

- What is he minimum volume of the box
- What is the surface area of the box
- How much empty space is in the box. ( round your answer to 2 decimal places)

Answers

Assuming the diameter of the ball = side of square
To stack 27 balls, we need 9 layers of 3 square each
Total space = 27 x 4³ = 1728 cm³
Total space occupied by 27 spherical balls = 27 x 4/3 π (4/2)³ = 904.78 cm³
Empty space = 1728 - 904.78 = 823.22 cm³
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