Answer:
y= 150,000(1+0.08)^t
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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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)
What type of graph would the following data create? (0,2) (1,3) (2,4) is this a Positive slope linear graph
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?
What is the value of p?
x=1/4y^2
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
PLZ HELP ASAP 30 POINTS (Plz show work)
Choose a trinomial to factor.
3x2 − 15x + 18
10a2 + 5a − 30
4n2 − 10n − 24
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
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
Answer:
The average rate of change is (f(3)-f(0))/3=(7-0)/3=7/3.
Step-by-step explanation:
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
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 )
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.
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
thank you to whoever helps
(3,1) would be the right answer
Find the area of the polygon 2cm 2cm 3cm in square centimeters
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!
siny dy/dx=cosy (1-xcosy)
Step-by-step explanation:
hope it helpe...............
Consider the two functions below which one of these functions in the line year what is its equation answer any answer totwo decimal places
Answer:
The thing u pasted is glitched and isn't loading
Step-by-step explanation:
find the area of the right triangle.
Answer:
16 units²
Step-by-step explanation:
1/2x4x8=16
Explain why the denominator 8 in 8/4 is not changed when adding the fractions.
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:
PLS HELPPPPPP ME!!! ASAP
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
Kevin can walk 14 miles in 5 hours. How far can he walk in 3 1/2 hours?
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
What is the mode of the set of numbers below
25, 14, 33, 17, 14, 8
A. 14
B. 16
C. 17
D. 19
I am so confused right now. will give brainlest to anyone how can solve this chicken scratch lol
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
Answer:
1. 25÷4w
2. w=6.25
3.I divided 25 by 4 to find w
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
I need help. q – 12 = 1
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
Please simplify the following trigonometric identity.
[tex]\displaystyle\frac{1}{\sec\alpha-\tan\alpha}[/tex]
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)
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.
Please help due soon.
Answer:
He should give his sister 41.50 dollars.
Step-by-step explanation:
Pls someone help me with this question pls
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?
Answer:
2.2
Step-by-step explanation:
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
Answer:
The area of this is 28.67 meters squared
Step-by-step explanation:
You must use division in order to complete the question
I dont understand the first 4
Answer:
Let me see what i can do, I'll try. Hope this helps
giving brainliest !!!!!
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.
The answer are b,c, and f
answer the questions, please I will give you 10 points