Answer: a. [tex]f(x)=5054(1.02)^x[/tex]
b. The population in 2032 will be 8292.
Step-by-step explanation:
Exponential growth equation: [tex]y=a(1+r)^x[/tex], where a = initial value , r = growth rate, x = time period
Given: a = 5054 , r= 0.02
a. Required exponential growth function: [tex]f(x)=5054(1+0.02)^x[/tex]
[tex]f(x)=5054(1.02)^x[/tex]
b. For 2032, x= 25
[tex]f(25)=5054(1.02)^{25}[/tex]
[tex]\approx8291.62\approx8292[/tex]
The population in 2032 will be 8292.
find 5-(-7)=5+7 simplify
Answer:
You already did the question.
Step-by-step explanation:
What's there to simplify?
5+7 = 5+7
It's just recursive.
Answer:
12 = 12
Step-by-step explanation:
5 - (-7) = 5 + 7
5 + 7 = 5 + 7
12 = 12
-5 3/4 - 3 1/2 =?
A)2 1/4
B)-9 1/4
C)-2 1/4
D)-8 2/3
Answer:
-9 1/4
Step-by-step explanation:
-5 3/4 - 3 1/2
Get a common denominator
-5 3/4 - 3 1/2 *2/2
-5 3/4 - 3 2/4
-8 5/4
Rewritng
-8 4/4 - 1/4
-9 1/4
HELP ME PLEASEEEEEEEEEE
Answer:
The coordinates of point P is (5,11)
Answer:
The coordinates of point P is (5,11)
Step-by-step explanation:
Find the value of the expression.
[(3/5)0]-2
the value is [___]
Answer:
1
Step-by-step explanation:
Any number to the power of zero is 1You can flip[tex] {1}^{ - 2} [/tex]to [tex] \frac{1}{ {1}^{2} } [/tex] which is 1Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
∠GAF ≌ ∠TAE.
∠TAE and ∠FAH are complementary.
∠TAF is obtuse.
Answer:
∠GAF ≌ ∠TAE is lie
Step-by-step explanation:
∠GAF ≌ ∠TAE is lie
both are not push back angles.
Which graph represents the solution?
Answer:
A
Step-by-step explanation:
Given the inequality :
v + 4 > 2 and 8v - 20 < 36
v + 4 > 2
v > 2 - 4
V > - 2
8v - 20 < 36
8v < 36 + 20
8v < 56
v < 56/8
v < 7
Hence,
v > - 2 and v < 7
-2 < v < 7
If tan theta = 7/2 and 0
Answer:
[tex]\theta= 74.05^{o} (2dp),\\\theta= 0^{o}.\\[/tex]
Step-by-step explanation:
[tex]tan \theta=\frac{7}{2}, \\\theta= tan^{-1}(\frac{7}{2}) = 74.05^{o} (2dp),\\\theta= tan^{-1}(0) = 0^{o},\\[/tex]
A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 3 centimeters.
What is the volume of the prism?
20 cm3
36 cm3
47 cm3
60 cm3
Answer:
60 cm3 is the volume of the prism
Step-by-step explanation:
Because the formula for volume is length * width * height!
please mark the brainliest!
Answer:
60
Step-by-step explanation:
The quotient of a number and two, increased by five, is 3.
Answer:
the quotient is -4
Step-by-step explanation:
Starting from zero, zero divided by anything is 0. The main concept here is not to divide anything by 0 and just straight of add by 5 because there would be more than one answer for the quotient. I know that 2+3=5 but but I know that my quotient would be smaller than 0 but add up to 3 when I divide it in half and add 5. -4/2=-2 plus 5 is equal to 3. 5>-2 so my answer would be positive.
y = (x) = (1/9)^x
Find f(x) when x = (1/2)
Round your answer to the nearest thousandth.
Answer:
0.333
Step-by-step explanation:
Evaluate 14 + (44+ 7) + 4^3*
HELP ME ASAP
NO LINKS OR FILES
Answer:
129
Step-by-step explanation:
44+7=51
4^3=64
14+51+64=129
A shirt costs $98.
It is 20% off
What is the amount
I will save ?
Answer:
$19.60 would be saved (off full price)
Step-by-step explanation:
The discount (savings) would be 0.20($98), or $19.60.
Select the FALSE statement regarding the relationship between sampling error and sample size. a.) As a sample size decreases, the standard deviation increases. b.) An estimate becomes more accurate as you increase the sample size. c.) You can resolve poor data collection by increasing the sample size. d.) Increasing the sample size will decrease the sampling error.
Answer:
Option C
Step-by-step explanation:
The standard deviation of any sample is inversely proportional to the size of the sample. Thus, as the sample size increases, the standard deviation reduces or vice versa. Thus, option A is in correct
As the sample size increases, the confidence in estimate also increases Hence, option B is also incorrect
Option D is true to its words , hence it is also a wrong choice for this question
Hence, option C is correct
Answer:
You can resolve poor data collection by increasing the sample size
Step-by-step explanation:
Which of the following is a geometric sequence? *
O -1, -3,9,27,...
0 -1,2 -4,8....
O 1,4,9,16,...
O 1,3,5,7,...
plz help I need it in less then 10 min
16=x'2
Answer
x=8
Step-by-step explanation:
16=x×2
x=16/2
X=8
MARK ME BRAINLIST
What is the value of z when z - 9 = 27 ?
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
In a random sample of 74 homeowners in a city, 22 homeowners said they would
support a ban on nonnatural lawn fertilizers to protect fish in the local waterways. The sampling
method had a margin of error of ±3.1%. SHOW ALL WORK!
A) Find the point estimate.
B) Find the lower and upper limits and state the interval.
Answer:
12
Step-by-step explanation:
-8x8x8x8 as a power?
Answer:
(-8)⁴
Hope this helps!
100 pts
Read the following email:
Dear Dr. Jones,
Our pharmaceutical company now received 47 complaints about the new pain reliever NoPain, created in your lab. Of the 47 complaints, 24 said their headache got worse, 15 said they had severe cramping after taking the medication, and 8 said they had both problems. We have only been distributing this pain reliever for about 30 days and we are very
concerned. It has cost our company roughly 1.2 million dollars to create the drug and we have recorded sales of $98,600 in the past month at $10 a bottle, so that is 9,860 bottles. Should we be concerned? Do you think we should pull the product and conduct more
research? We may end up losing money on this if we pursue this course of action. Should we keep the product on the shelves and secretly do more research? Or should we just do nothing for the time being, wait it out, and see what happens? Please get back to us as soon as possible with your recommendation.
Thank you,
Jane Smith
Head of Customer Relations
Using your basic mathematical skills, calculate how long it will take the pharmaceutical
company to earn back the amount that it had invested, if it continues to sell the product at the
current selling rate.
Carla used 6 1/2 cups of sugar to make five pies. How many cups of sugar will she need to make 2 pies?
Answer:
Number of Sugar cups needs for 2 pies = 20/13 cups
Step-by-step explanation:
Given:
Number of Sugar cups used for 5 pies = [tex]6\frac{1}{2}[/tex] cups = 13/2 cups
Find:
Number of Sugar cups needs for 2 pies
Computation:
Number of Sugar cups needs for 1 pie = 5 / (13/2)
Number of Sugar cups needs for 1 pie = 10 / 13 cups
Number of Sugar cups needs for 2 pies = 2[Number of Sugar cups needs for 1 pie]
Number of Sugar cups needs for 2 pies = 2[10/13]
Number of Sugar cups needs for 2 pies = 20/13 cups
Combine like terms 4a2-3b2+ 4b + 10a2
Answer:
14a² - 3b² + 4b
Step-by-step explanation:
Like terms are the terms that have similar stuff on it, like same variables, no variables, and stuff like that.
4a2-3b2+ 4b + 10a2
4a² and 10a² is similar. 4a² + 10a² = 14a²
Now, the equation is 14a² - 3b² + 4b. There is no more like terms left, so that is the answer.
Hope this helps!!
-Ketifa
Beth has a box containing music CDs. Each CD contains songs from only one of these three genres: pop (P), hip-hop (H), and rock (R). She picks one CD from the box, replaces it, and then picks another CD. The sample space for this event is listed.
P-P H-P R-P
P-H H-H R-H
P-R R-R
What is the missing term for this compound event? What is the sample size?
A.
The missing term is H-P, and the sample size is 9.
B.
The missing term is H-R, and the sample size is 9.
C.
The missing term is H-P, and the sample size is 3.
D.
The missing term is H-R, and the sample size is 3.
Answer:
B). The missing term is H-R, and the sample size is 9.
Step-by-step explanation:
Compound event is characterized as the likelihood of occurring two autonomous events at least one or more than one probable outcome.
As per the details provided, 'the term that is omitted in the given event of the compound would be (H-R) and the size of the sample would be 9(' including this missing one. The eight combination possibilities of the CDs have already been provided and thus, the last one would be 'H-R'(hip-hop and rock music CDs). This is why the total number of possibilities turns 9. Thus, option B is the correct answer.
Answer: the answer is B :)
Step-by-step explanation:
Mr. Matthews gives each of his 32 students 15 minutes to
present a book report to the class. How many minutes
will it take for all of his students to present their reports?
Answer:
480 minutes or 8 hours
Step-by-step explanation:
1 student = 15 minutes
32 students = x
x= 32 students *15 minutes
x= 480 minutes
480 minutes it takes for all of his students to present their reports.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total Students= 32
Each student can take = 15 minutes.
So, time taken by 32 students
= 32 x 15
= 480 minutes.
Hence, students take 480 minutes to complete the report.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
Plz help me well mark brainliest if correct!...
Tom works at a movie theater earning $8 an hour for 40 hours each week
Answer:
320
Step-by-step explanation:
first divide
then subtract
then multiply
then you got your answer
Which of the statements about one-way ANOVA is FALSE? ANOVA deals only with one factor, such as treatment or group. There can be any number of levels in one-way ANOVA. The purpose of one way ANOVA is to verify whether the data collected from different sources converge on a common mean. It is used when there are two independent variables in the experiment.
Answer:
It is used when there are two independent variables in the experiment.
Step-by-step explanation:
The one way analysis of Variance statistical test is employed when we intend to analyze the variation in the mean of levels or groups of an independent variable. It allows us check for convergence of data. The variable here is usually categorical and must have 3 or more levels, hence, the groups could be infinite in count. A one way ANOVA will have only ONE independent variable, For data with two independent variables, the TWO way ANOVA statistical test is employed.
the product of a number and twice itself is 32
is it 8,4
suppose the probability of someone having a reaction to a medication is 0.025 what is the probability of two out of tree people having a reaction?
Given :
The probability of someone having a reaction to a medication is 0.025 .
To Find :
The probability of two out of tree people having a reaction.
Solution :
Let, P is the probability of two out of tree people having a reaction.
So, P = ( first had reaction ) × ( second had reaction ) × ( third do not had reaction )
P = 0.025 × 0.025 × ( 1 - 0.025 )
P = 0.00061
Hence, this is the required solution.
A copy machine makes 84 copies in 3 minutes and 30 seconds, how many copies does it make per minute.
Answer:
24
Step-by-step explanation:
3 minutes and 30 seconds = 3.5 minutes
84/3.5 = 24copies/minute
What is
6+√36
pleaseeeee
Answer:
The answer is 12
Step-by-step explanation:
6+the root of 36 =12