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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Given : ABCD is a rectangle
m∠B1DB = 60°, m∠ADB = 45°
DB1=37
Find: Volume
Answer:
Step-by-step explanation:
∠B₁DB = 60°
△B₁BD is a 30°-60°-90° triangle. The sides are in the ratio 1:√3:2
B₁D = 37 ⇒ BD = 37/2 = 18.5
BB₁ = 18.5√3
△ABD is isosceles
AB = AD = BD/√2 = 18.5/√2
volume = AB × AD × BB₁
= (18.5/√2) × (18.5/√2) × 18.5√3
= 18.5³√3/2
≅ 5483 cubic units
Sandra wants to solve the equation x2+2x−3 = 12 by using the factoring method. Which of the following should be her first step?
Answer:
her first step should be to multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-by-step explanation:
i looked it up on tiger algebra lol
x ²+3x i need help loo
Answer:
the answer is 4x
Step-by-step explanation:
x×x+3x
x+3x
4x
Triangles & Trigonometry
Answer:
Answer: x = y = 2√7
Step-by-step explanation:
x = (2√14)cos45
x = (2√14)½√2
x = √14(√2) = √28 = 2√7
y = (2√14)sin45
y = (2√14)½√2
y = √14(√2) = √28 = 2√7
Solve the equations below using a number line. Click above the fraction line record the numerator and below the fraction line to record the denominator
Answer:
theres nothing
Step-by-step explanation:
Graph a line with the given slope that passed through the given point.
slope: 0, point: (0, -2)
Answer:
Graph the line y = -2.
Step-by-step explanation:
A line with zero slope is a horizontal line. Find (0, -2) on the y-axis and draw a horizontal line through it. This will fully address this question.
many teams?
Ms. Z has 75 students in her
gym class. She wants to
make teams of 15 students.
How many teams will she
have?
7
aker notes
Answer:
75 divided by 15 is 7
Step-by-step explanation:
Find the weight in pounds of a 140-kilogram person. Round to the nearest hundredth.
Answer:
308 pounds
Step-by-step explanation:
2.2 pounds /kg
2.2 x 140 = 308 pounds
It takes 1/2 of a cup of flour to make a batch of pancakes, Curtis has 5 cups of flour.
How many batches of pancakes can he make?
Answer:
10 Batches
2 halfs make a whole therefore every cup would count as 2 batches
using this we can multiply 5 by 2 to get 10 batches.
The number of batches of pancakes Curtis can make is A = 10 batches
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
If Curtis takes 1/2 cup of flour to make a batch of pancakes, then the number of batches of pancakes that can be made from 5 cups of flour is:
5 cups / (1/2 cup per batch) = 5 / 0.5
On simplifying the equation , we get
A = 10 batches
Therefore, Curtis can make 10 batches of pancakes with 5 cups of flour
Hence , the number of batches is 10
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Please can someone help me !!
Answer:
Step-by-step explanation:
for question 4, the x= 116 °
they are just trying to show you that the degrees of the arc, is also the degrees of the angle from the center point of the circle.. and then they will get "tricky" with that idea :/
for question 5 x = 90 °
they just want you to recognize that a "tangent" line is 90 ° is all
for question 6 they want you to know this formula
(b -a) /2 where b = the bigger arc and a is the smaller arc
so (134 - 54) /2
80 / 2
40 °
the answer to 6 is 40 °
leave a comment if you want more explanation of how I got those :)
HELP RIGHT NOW! I REALLY NEED HELP AND MY ASSIGNMENT IS DUE TOMMOROW
Answer:
area = 6 units²
perimeter = 10.06 units
Step-by-step explanation:
area = 1/2bh
area = 1/2(4)(3) = 6 units²
perimeter = 4.123 + 2.236 + 4.243 = 10.06 units
what is the area of yhe following circle?either an exact answer in terms of or use 3.14 for and enter your ansert as a decimal
r=5
units2
Answer and Step-by-step explanation:
If the radius is 5, then we can plug 5 into the area of a circle equation.
A = [tex]\pi r^{2}[/tex]
A = [tex]\pi (5)^{2}[/tex]
A = 25[tex]\pi[/tex]
The area of a circle with radius 5 is 25[tex]\pi[/tex].
#teamtrees #PAW (Plant And Water)
Many consumer groups feel that the U.S. Food and Drug Administration (FDA) drug approval process is too easy and, as a result, too many drugs are approved that are later found to be unsafe. On the other hand, a number of industry lobbyists have pushed for a more lenient approval process so that pharmaceutical companies can get new drugs approved more easily and quickly. Consider a null hypothesis that a new, unapproved drug is unsafe and an alternative hypothesis that a new, unapproved drug is safe.
a. Explain the risks of committing a Type I or Type II error.
b. Which type of error are the consumer groups trying to avoid? Explain.
c. Which type of error are the industry lobbyists trying to avoid? Explain.
d. How would it be possible to lower the chances of both Type I and Type II errors?
Answer:
A) The risk of committing Type I error would imply that an unsafe drug is approved. However, the risk of committing a Type II error would imply that a drug is safe but not approved.
B) They are trying to avoid type I error because they don't want drugs that are unsafe to be approved.
C) They are trying to avoid type II errors because the companies would have to continue testing even when the drugs are safe.
D) To lower the chances of type I error, the significance level has to be reduced and they need to make sure that the tests are run for longer periods so that a good representation of the sample size would have been tested which means we are increasing the credibility of the test results.
To lower the chances s of type II error, we have to ensure we increase the sample size and decrease the variants of the drugs.
Step-by-step explanation:
In errors in statistics, we can define type I error as when the null hypothesis is rejected even when it is true while a type II error is when we fail to reject the null hypothesis even when it is false.
A) The null hypothesis in this question is that a drug is unsafe. Thus, the risk of committing Type I error would imply that an unsafe drug is approved. However, the risk of committing a Type II error would imply that a drug is safe but not approved.
B) The consumer groups feel that too many approved drugs are found out later to be unsafe. Thus, they don't want drugs that are unsafe to be approved and it means they are trying to avoid type I error.
C) The error that the Industry lobbyists are trying to avoid is the Type II error. This is because the companies would have to continue testing even when the drugs are safe.
D) To lower the chances of type I error, the significance level has to be reduced and they need to make sure that the tests are run for longer periods so that a good representation of the sample size would have been tested which means we are increasing the credibility of the test results.
To lower the chances s of type II error, we have to ensure we increase the sample size and decrease the variants of the drugs.
Mr. Cox's round baler bales a 4-foot-wide bale having a 5.25 foot diameter. He wants to wrap
the bale in a white wrapper. He must allow an extra 10 percent for lapping. How many square
feet of wrapping does each bale require?
Answer:
109.27 ft²
Step-by-step explanation:
SA = face + face + curve
SA = 2πr² + 2πrw
= 2π(2.625)² + 2π(2.625)(4)
= ~43.3 + ~65.97 = 109.27 = SA
What is the sum of 4.5 x 10^3 and 2.5 x 10^2 ?
Answer:
4750
Step-by-step explanation:
you add the equation together and find the answer
Answer: 4500 and 250 = 4750
Step-by-step explanation: 10 to the power of 3 is 1000 because it’s 10x10x10 and if you multiply it by 4.5 it’s 4500 and then 10 times 10 is 100 times 2.5 is 250. And because we’re looking for the sum it wants the total so 4500 plus 250 is 4750
it is acceptable to divide by zero true or false
Answer:
flase.,......,........
Answer:
true
Step-by-step explanation:
so like for example you say 0÷50
your answer will remain 0
Um.. would anyone like to help? !
Answer:
12
Step-by-step explanation:
The function is just saying that 1/3 of a number is 4
Of the list given the only number when you take 1/3 of it equals 4 is 12
There is only one solution
12
If an image was translated 8 units to the left and 2 units down, what would its rule be?
A. (X,Y-> (X + 8, y - 2)
B. (x, y) --> (X - 8, y - 2)
C. (x, y) --> (X + 8, y + 2)
D. (x, y) --> (X - 8, y + 2)
ill give brainliest! plsss help
Answer:
B
Because u r going -8 units on the x-axis and 2 units down on the y-axis
What is the mode of the data set?
A. 8
B. 9
C. 10
D. 5
Answer:
A: 8
Step-by-step explanation:
The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. ... The mode can be the same value as the mean and/or median, but this is usually not the case
write each power as a product of the Same factor then find the value 1. 4^3 2. 2^6 3. 8^4 4. 12^2
Answer:
15^3=15×15×15=3375
0^4=0×0×0×0=0
5^5=5×5×5×5×5=3125
3.5^2=3.5×3.5=12.25
6^5=6×6×6×6×6=7776
7^4=7×7×7×7=2401
1^8=1×1×1×1×1×1×1×1=1
2.5^3=2.5×2.5×2.5=15.625
Step-by-step explanation:
a building has two sizes of Apartments small irregular the ratio of small apartments to regular Apartments is 14 to 6 what percent of apartments in the building are small
Answer is in the file below
tinyurl.com/wpazsebu
What is the slope of a line parallel to the line whose equation is 6x -2y= 32. Fully simplify your answer
Step-by-step explanation:
Given equation is
6x -2y= 32.........i)
Slope of line I) is
[tex]m1 = \frac{ - x \: coefficient}{y \: coefficient} \\ = \frac{ - 6}{ - 2} \\ = 3[/tex]
Now
As it is said that the lines are parallel so slope, m1 = m2
So the slope of a line parallel to line I) is
= 3
Hope it will help :)❤
I need help please.
Answer:
Step-by-step explanation: Just do 0.25+0.25 then the answer x 0.18 and then divide the answer by 2 and it should equal 0.045
Which of the following is a TRUE statement about check cashing stores?
The number of students, s, is at most 30.
Answer:
I'm confused
Step-by-step explanation:
maybe more context?
(GIVING BRAINLIEST) who can tell me what grade middle school starts in the U.S.A
Answer:
Middle school (also called junior high school)
It starts with grade 6 and ends with grade 8.
Step-by-step explanation:
If the radius is 8m, what is the diameter
Answer:
16m
Step-by-step explanation:
radius is half of diameter
Solve | 2x | = | x + 3 | by graphing
Answer:the answer is 3 and -1
Step-by-step explanation:
X=3
And
X=-1
please help!!!!!!!!!!!!!!!!!!!!
Answer:
I am not sure but think that the answer is 1/20
I believe you convert the whole number into a mixed fraction.
5 converted into quarters is 20/4. Then you divided 1/4 by 20/4.
1/4 divided by 20/4 is 1/20 or 0.05.
Please, don't refrain to tell me if this is incorrect. Thank you.
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Answer:
I think yes but it could be no. Sorry if I am wrong but it should be yes.