If the population of a small town was 3,000 today and the anticipated growth is estimated to be 5% per year, what will the population be in 8 years to the nearest whole number? Pleasee helpp !
Answers
Answer:
The population will be 4200
Answer:
4432
Step-by-step explanation:
Population growth is generally expressed as a percentage of the current population. That means the growth is exponential, and the equation describing it will be ...
population = (initial value) × (growth factor)^t . . . . . where t is in years
where the growth factor is ...
growth factor = 1 +(growth rate)
__
For the given initial value of 3000 and the growth rate of 5%, the equation is ...
population = 3000(1.05^t)
When t=8, the value is ...
population = 3000(1.05^8) ≈ 3000(1.477455) ≈4432.4
The population will be about 4432 in 8 years.
Related Questions
What is the quotient of 6 and 3 ?
Answers
Answer:
well the answer would be 2
Answer:
2
Step-by-step explanation:
The Quotient is a keyword for division. 6 divided by 3 is 2. Or in other words, 3x2=6
find the value of x and FG based on the diagram
Answers
Answer:
x = 9, FG = 8
Step-by-step explanation:
The question depends on the relationship EF + FG = EG (the two shorter segments add up to the long segment).
7 + 2(x - 5) = 3(x - 4)
7 + 2x - 10 = 3x - 12
-3 + 2x = 3x - 12
-3 = x - 12
9 = x
The length FG can be found by substituting 9 for x.
FG = 2(x - 5) = 2(9 - 5) = 2(4) = 8
Answer:
x should be 8 and FG should be 7
Step-by-step explanation:
Considering segment EF and FG look relatively the same in length, let's assume 2(x-5) = 7.
And assuming both segments are equal to 7, the total would be 14.
3x-12=14
add 12 to 14 which would get you 26
3x=26
divide 26 by 3
which would be 8.666 repeating which for the sake of this we'll round down to 8
check with 2(x-5)
2x-10=7
add 10 to 7
17/2 should equal 8.5 which we'll round down to 8
take this with a grain of salt as I don't know much about college math
Caroline had 10 5/8 pounds of sunflower seeds. She gave some to Joe.
Now she has 8 pounds of sunflower seeds left. How much did she give
to Joe?
Answers
Answer:
2 5/8
Step-by-step explanation:
10 5/8 - 8
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answers
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
Does the expression x^3-1 divided by x^2 -1 simplify to x?
Answers
No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.
To simplify the expression, let's first factorize both the numerator and denominator.
The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).
The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).
Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:
[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]
The (x - 1) terms cancel out, leaving us with:
x^2 + x + 1 / (x + 1)
So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.
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A box contains 5 white and 7 black balls. Two successive drawn of 3 balls are made
with replacement (ii) without replacement. The probability that the first draw woul
produce white balls and the second draw would produce black balls are respectively
(a) 6/321 and 3/926
(b) 1/20 and 1/30
(c) 35/144 and 35/10
(d) 7/968 and 5/264
Answers
Answer:
Dear user,
Answer to your query is provided below
Option (d) is correct
Step-by-step explanation:
Explanation of your query is provided in the image attached
examine the wintegraph of monear function
2.0
--
What is the average of charge over the intervall <3 32
Enter your answer as me like this: 42
Answers
Answer:
\(Rate = 3\)
Step-by-step explanation:
Given
The attached graph
Required
Average rate of change over \(1 \le x \le 3\)
This is calculated as:
\(Rate = \frac{f(b) - f(a)}{b - a}\)
\([a,b] = [1,3]\)
\([f(a),f(b)] = [-2.4]\)
So, we have:
\(Rate = \frac{4 - (-2)}{3 - 1}\)
\(Rate = \frac{6}{2}\)
\(Rate = 3\)
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answers
Number of car sold are 98.
Number of trucks sold are 66.
Given,
Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .
Let number of cars sold are x.
Let number of cars sold of y .
Now,
For dealership 1 equation will be,
x + y = 164 ......(1)
For dealership 2 equation will be,
As the cars are sold twice and trucks are sold half .
2x + y/2 = 229......(2)
Solving 1 and 2,
y = 66
x = 98
Thus number of car sold are 98.
Thus number of trucks sold are 66.
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The population, in millions of people, of the United States can be represented by the recursive
formula below, where a represents the population in 1910 and n represents the number of years
since 1910.
ao
an 1.015a, - 1
Identify the percentage of the annual rate of growth from the equation a,, = 1.015a, - 1
= 92.2
=
Write an exponential function, P, where P(t) represents the United States population in millions
of people, and t is the number of years since 1910.
According to this model, determine algebraically the number of years it takes for the population of
the United States to be approximately 300 million people. Round your answer to the nearest year.
Answers
53 years for the Population of the United States to reach 300 million people according to this model.
The recursive formula of the population of the United States is given by ao = an1.015a - 1
Let's solve this to get a formula that is not recursive.a0 = a0 givena1 = 1.015a0 - 1a2 = 1.015a1 - 1 = 1.015 (1.015a0 - 1) - 1 = 1.0152 a0 - 1.015 - 1a3 = 1.015a2 - 1 = 1.015(1.015²a0 - 1.015 - 1) - 1 = 1.015³ a0 - 1.015² - 1.015 - 1a4 = 1.015a3 - 1 = 1.015(1.015³a0 - 1.015² - 1.015 - 1) - 1 = 1.015⁴ a0 - 1.015³ - 1.015² - 1.015 - 1an = 1.015na0 - 1.015n-1 - 1.015n-2 - ... - 1.015 - 1We can rewrite this asan = a0(1.015)
where a0 is the population of the United States in 1910 (92.2 million people) .
Now, we need to write an exponential function to find the population of the United States as a function of time in years since 1910.P(t) = 92.2(1.015)
To find the number of years it takes for the population to reach 300 million people, we need to solve the equation92.2(1.015)t = 300
Dividing both sides by 92.2, we get1.015t = 3.2596
Taking the natural logarithm of both sides, we get ln(1.015) = ln(3.2596)t = ln(3.2596)/ln(1.015) ≈ 53.2
Therefore, approximately 53 years for the population of the United States to reach 300 million people according to this model.
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The ratio of red to blue counters
in a bag is 1 : 4 The ratio of blue to
green counters is 2:3
If there are 20 red counters how
many green counters are there?
Answers
Caleb rode his bike for 3.1 miles in the morning. Then he rode his
bike another 22 miles in the afternoon. How many miles did Caleb
ride all together? Draw an arrow on the number line to show how
to find the answer. Then write the answer below.
Answers
Answer:
3.1 + 22 = 25.1
Step-by-step explanation:
3.1 + 22 = 25.1
ANSWER: 25.1 miles
In the triangle below.
Answers
Answer:
im stuck between 20° and 19°. it sort of looks like its 20°. i would take a best educated guess of either 20 and 19. good luck!
Step-by-step explanation:
This data is from a sample. Calculate the mean, standard deviation, and variance. Suggestion: use technology. Round answers to two decimal places.
x
22.8
49.8
17.5
44.1
33.2
20.6
43.2
37.7
Mean =
Standard Deviation =
Variance =
Ooops - now you discover that the data was actually from a population! So now you must give the population standard deviation.
Population Standard Deviation =
Answers
1. Mean = 33.61
2. Standard Deviation = 11.3284
3. Variance = 128.33
What are the mean, standard deviation, and variance?The given data are: \(22.8, 49.8, 17.5, 44.1, 33.2, 20.6, 43.2, 37.7\)
To get mean, we will sum up all the numbers and divide by the total count. The mean is:
= (22.8 + 49.8 + 17.5 + 44.1 + 33.2 + 20.6 + 43.2 + 37.7) / 8
= 268.9 / 8
= 33.62
Standard Deviation: \(\sqrt((22.8 - 33.61)^2 + (49.8 - 33.61)^2 + (17.5 - 33.61)^2 + (44.1 - 33.61)^2 + (33.2 - 33.61)^2 + (20.6 - 33.61)^2 + (43.2 - 33.61)^2 + (37.7 - 33.61)^2) / 8\)
= \(\sqrt{128.3336}\)
= 11.3284420818
= 11.3284
Variance = (Standard Deviation)^2
Variance = \(11.3284 ^2\)
Variance = 128.33264656
Variance = 128.33.
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Which two terms can be combined in this expression?
6 + 3.2 m + two-fifths n minus StartFraction m over 5 EndFraction
6 and 3.2 m
3.2 m and Negative StartFraction m over 5 EndFraction
Two-fifths n and Negative StartFraction m over 5 EndFraction
6 and Negative StartFraction m over 5 EndFraction
Answers
Answer:
Your answer would be B. 3.2m and -m/5
Step-by-step explanation:
I did the test on edge and I got it right
Answer:
The person above is correct!
Step-by-step explanation:
What is the most important criteria for a sample to be
considered unbiased?
Answers
Answer:
A sample drawn and recorded by a method which is free from bias. This implies not only freedom from bias in the method of selection, e.g. random sampling, but freedom from any bias of procedure, e.g. wrong definition, non-response, design of questions, interviewer bias, etc.
Answer:
Sampling Criteria is one must remember that two costs are involved in a sampling analysis viz., the cost of collecting the data and the cost of an incorrect inference resulting from the data. Researcher must keep in view the two causes of incorrect inferences viz., systematic bias and sampling error.
Convert the following angle from degrees, minutes and seconds into decimal degrees.
Round to the nearest hundredth Do NOT include the degree symbol only write the
final number.
78°33'51"
Answers
Pls HELPPP ASAP
Which algebraic expression represents the phrase “seven more than half of a number”?
Answers
Answer:
the 2nd one i think hope it is,please ,please
Answer:
the third one.
Step-by-step explanation:
1/2 is half a number and +7 is 7 more so 7 more than half a number.
The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.
Height above sea level:
Answers
Answer:
6610
Step-by-step explanation:
We have tan(X) = opposite/ adjacent
tan(QBP) = PQ/BQ
tan(35) = PQ/BQ ---eq(1)
tan(QAP) = PQ/AQ
tan(20) = \(\frac{PQ}{AB +BQ}\)
\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)
230*tan(20) + PQ*tan(20)*tan(35) = PQ
⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)
⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]
\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)
\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)
PQ = 110.4
≈110
Height above sea level = 6500 + PQ
6500 + 110
= 6610
XYZ company is situated in Ghana. They have been commissioned your organisation to design a database for them. The database is expected to keep data on employees, customers, suppliers, and products. Important records on employees such as employee's ID, date of birth, and dependants are expected to be captured in the database. Products information such as product's ID, name of product, manufacturing and expiring data, and name of supplier are expected to be captured. The company receives suppliers from different organisations, hence, it would like the database to capture relevant details of these suppliers. Each supplier supplies only one type of product for the company. Every customer is assigned one sales representative, yet sales representatives maybe assigned up to ten customers. Customers can order an unlimited number of good. Properly represent all entities, relationships, constraints, and appropriate keys in an E-R diagram that can readily be used in a database.
Answers
By answering the presented question, we may conclude that Sales Rep: expression This entity maintains information about sales reps such as SalesRepID and SalesRepName.
what is expression ?An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematic, and form. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.
The ER diagram above depicts the database entities and their connections. Here's a quick rundown of each entity and its characteristics:
Employee: This object contains information on employees such as EmployeeID, Name, DateOfBirth, and Dependents.
ProductID, ProductName, ManufacturingDate, ExpiryDate, and SupplierID are all stored in this object.
Supplier: This entity holds supplier-specific information such as SupplierID, SupplierName, ContactPerson, and ContactNumber.
CustomerID, CustomerName, ContactPerson, and ContactNumber are all stored in the Customer entity.
Sales Rep: This entity maintains information about sales reps such as SalesRepID and SalesRepName.
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1/3x+ 1/3y=–9/5
in standard form
helpp
Answers
There is the answer to this equation problem
5 + 14 x ____ = 9 x ____ - 5
Please solve for the blanks I’m begging you with all my soul
Answers
Answer:
3, 8
Step-by-step explanation:
19x__=9x__-5
24x_=9x_
8x_=3x_
8x3=3x8
24=24
Help me I’ll mark brainlist!!Please help!
Answers
How many and what
type of solutions does a
quadratic have with a
discriminant = -9?
Answers
Answer:
The value of the discriminant tells you whether the quadratic has 2 solutions, 1 solution, or no real solutions. If b2 – 4ac simplifies into a positive number, then the quadratic has 2 solutions. If b2 – 4ac simplifies into a 0, then the quadratic has 1 solution.
Step-by-step explanation:
x multiplied by 11 is less than or equal to 22
Answers
Answer:
It depends on the value of x.
Step-by-step explanation:
11x less than or equal to 22? It depends on the value of x.
How much would you need to deposit in an account now in order to have $20,000 in the account in 4 years? Assume the account earns 5% interest.
Answers
Answer:
Step-by-step explanation:
20000*4*5/100=4000
You would need to deposit approximately $16.454 into the account now in order to have $20,000 in the account in 4 years.
We have,
The formula for compound interest,
\(A = P x (1 + r/n)^{nt}\)
where:
A = the future amount in the account
P = the initial principal (the amount you need to deposit)
r = the annual interest rate (decimal)
n = the number of times interest is compounded per year
t = the number of years
In this case, you want to find the initial principal (P), given that you want $20,000 in the account after 4 years, the interest rate is 5%, and the interest is compounded annually (n = 1).
Plugging in the values:
A = $20,000
r = 0.05
n = 1
t = 4
The formula becomes:
\($20,000 = P \times (1 + 0.05/1)^{1 \times 4)\)
Simplify the exponent:
$20,000 = P × \((1.05)^4\)
Now, solve for P:
P = $20,000 / \((1.05)^4\)
P = $16.454.1314
P ≈ $16.454
Thus,
You would need to deposit approximately $16.454 into the account now in order to have $20,000 in the account in 4 years, assuming an annual interest rate of 5% compounded annually.
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Josie has $ 47 left on her checking account. if she writes for $55, what will Josie' s balance be?
Answers
Answer:
$102
Step-by-step explanation:
A teacher has 35 markers. He wants to make 4 identical gift bags using as many as the markers as possible. How many markers will be left over?
Answers
Answer:
Step-by-step explanation:
As the teacher wants to make 4 identical gift bags, each bag must have equal number of markers. Divide 35/8 Which gives 8 as quotient and 3 as remainder.
3 markers will be left over
Bo kept track of his cookie sales. He
discovered that 3 out of 5 people who
came into his bakery for cookies bought
chocolate chip cookies.
If 400 customers bought cookies at Bo's
Bakery last month, how many of them
bought chocolate chip cookies?
Answers
Answer:240
Step-by-step explanation:
400/5 = 80
80 x 3 = 240
240/400 people bought choc chip
Simplify completely x2 + 4x - 45/x2 +10x+9 and find the restrictions on the variable.
Answers
Answer:
The correct answer is,
\( {x}^{2} + 14x - \frac{45}{ {x}^{2} } + 9\)
Complete the following table given this information: (Do not round intermediate calculations.) Cost of machine $ 94,000 Residual value $ 4,000 Useful life 5 years Estimated units machine will produce 100,000 Actual production: Year 1 60,000
Year 2 15,000 Use MACRS table.
Straight line method?
Units of production?
Declining balance?
MACRS (5-year class)
Answers
The completion of the following table under different depreciation methods is as follows:
Depreciation Expense:Method Year 1 Year 2
Straight line $18,000 $18,000
Units of production $54,000 $13,500
Declining balance $37,600 $22,560
MACRS (5-year class) $18,800 $30,080
Data and Calculations:Cost of machine = $94,000
Residual value = $4,000
Depreciable value = $90,000 ($94,000 - $4,000)
Estimated useful life = 5 years
Depreciation expense:
Straight-line method = $18,000 ($90,000/5)
Estimated units of produciton = 100,000
Unit depreciation rate = $0.90
Actual production Depreciation
Year 1 = 60,000 $54,000 ($0.90 x 60,000)
Year 2 = 15,000 $13,500 ($0.90 x 15,000)
Declining Balance:
Year 1 = $37,600 ($94,000 x 40%)
Year 2 = $22,560 ($94,000 - $37,600) x 40%
MACRS:
Year 1 = $18,800 ($94,000 x 20%)
Year 2 = $30,080 ($94,000 x 32%)
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