The rate of change increased by about _____ bass per a year. Round to the nearest tenth
Answers
From the exponential function, the average rate of change from year 1 to year 4 is 62.43, the average rate of change from year 5 to year 8 is 67.57 and the rate of change per year is 65
What is Exponential FunctionAn exponential function is a type of function that involves a variable in an exponent. It is of the form f(x) = a⋅b^x where a and b are constants and b > 0, b ≠ 1. The input to the function, x, is the exponent that the base, b, is raised to. The output, f(x), is the result of raising the base to the exponent.
In this problem, we have to calculate the rate of increase per year.
Data;
rate = 2%
P = 3000
The exponential growth can be calculated by;
A = P(1 + r)ⁿ
In year 1
A = 3000(1 + 0.02)¹
A = 3060
In year 4
A = 3000(1 + 0.02)⁴
A = 3247.3
a)
The average rate of change from year 1 to year 4 will be
A = [3000(1 + 0.02)⁴ - 3000(1 + 0.02)¹] / 4 - 1
A = 62.43
The average rate of change from year 1 to year 4 is 62.43
b)
The average rate of change from year 5 to year 8 is calculated as
A = [3000(1 + 0.02)⁸ - 3000(1 + 0.02)⁵] / 8 - 5
A = 67.57
C)
The rate of change increase can be calculated as;
A = [3000(1 + 0.02)⁸ - 3000(1 + 0.02)¹] / 8 - 1
A =65
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Related Questions
BC is tangent to ⊙A at point B. What is the value of x?
Answers
The value of x is 6 or 3.5.
What is Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
We have,
Radius = (x-2)
CB= 2x -9
Using Pythagoras theorem
AB² + CB² = AC²
(x-2)² + (2x-9)² = (x-2+1)²
x² + 4 -4x + 4x² + 81 - 36x = x² + 1 -2x
4x² -38x + 84 = 0
Solving the quadratic equation we get
x= 6 or 3.5
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express the following ratios as fractions in their lowest term
a.4 birr to 16 cents
b.5 days to 100 hrs
Answers
Answer:
1/4 is A and 1/20 is B
Step-by-step explanation:
Not much of an explanation needed
The ratios 4 birr to 16 cents and 5 days to 100 hrs can be expressed as [tex]\frac{1}{4}[/tex] and [tex]\frac{1}{20}[/tex] in their lowest terms.
What is Ratio?Ratio is the relationship between two quantities which shows the number of times that the one quantity is contained within the other quantity.
If 'a' is related to 'b', they can be denoted in terms of ratio as a : b.
Ratios can be expressed as fractions.
(a) 4 birr to 16 cents = [tex]\frac{4}{16}[/tex]
The highest common factor of both 4 and 16 is 4.
[tex]\frac{4}{16}[/tex] = (4 × 1) / (4 × 4) = [tex]\frac{1}{4}[/tex]
(b) 5 days to 100 hrs = [tex]\frac{5}{100}[/tex]
The highest common factor of 5 and 100 is 5.
[tex]\frac{5}{100}[/tex] = (5 × 1) / (5 × 20) = [tex]\frac{1}{20}[/tex]
Hence the ratios can be expressed as [tex]\frac{1}{4}[/tex] and [tex]\frac{1}{20}[/tex] in their lowest terms.
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PLEASE HELP! I WILL GIVE BRAINLIEST! Doug bought a meal in a town that has no sales tax. He tips 20%. Select all meals that Doug could buy for $20 or less. SELECT ALL CORRECT ANSWERS
A.$17.15
B.$16.50
C.$16.80
D.$16.65
E.$15.25
F.$17.00
Answers
Answer: E and B are the right answer I think tell me if im wrong :)
PLS PLS HELP I HAVE A D IN MATH AND NEED HELP GETTING MY GRADE UP
Answers
Answer:
1/6 bcause
Step-by-step explanation:
it is a 4 by 3 block so if your going to count cont by the side answe is 1/6
will give 33 poits and will be marked brainliest please solve this and post answer is it and explain how you got it.
Answers
Answer:
9.85
Step-by-step explanation:
With all the data we get:
0.4+1+0.6+0.85+0.85+0.95+2+1.05+1.05+1.1
Add them all up and you get:
9.85
I did not do this on paper, but on a calculator, to make sure my answers were correct.
happy learning!
--Applepi101
Answer:
9.85 inches
Step-by-step explanation:
Total amount rain that fell in desert :
Amount of rain in inches * number of times recorded in the year
Amount of rain is on the horizontal axis
Number of times is given by the number of dots on each Rainfall amount.
Therefore ;
(1*0.4) + (2*0.5) + (1*0.6) + (2*0.85) + (1*0.95) + (2*1) + (2*1.05) + (1*1.1)
= 9.85 inches
if a sample proportion is 0.85, which range of possible values best describes an estimate for the population parameter?
A. (0.8, 0.85)
B. (0.8, 0.89)
C. (0.85, 0.9)
D. (0.8, 0.9)
Answers
Answer:
The correct answer is (0.8, 0.9)
(0.8+0.9) divide by 2 = 85
:) hope this helps
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
264cm^3
Step-by-step explanation:
8 × 5 × 5 = 200
8 × 1 × 8 = 64
200 + 64 = 264
Devika is making porridge by following this recipe.
She has 4 pints of milk and plenty of other ingredients.
What is the maximum number of whole servings she can make?
Note: 1 pint = 568 mL
Recipe: Serves 1
40 g oats
300 mL milk
Answers
2272ml divided by 300ml (the amount the recipe asks for) = 7.573...
round it down to get the nearest whole number, you end up with 7. (you can’t round it up to 8, because she has less than the amount needed for 8 servings)
so, the maximum number of whole servings she can make is 7.
Calculate the lengths of the 2 unlabeled sides. Round answers to the nearest tenth, if necessary.
Answers
Answer:
JG = 6.5 & JH = [tex]6.5 *\sqrt{2}[/tex] or 9.192388155
Step-by-step explanation:
45-45-90 triangles follow a pattern in which the smallest sides are equal & we represent them by x.
The hypotenuse is equal to [tex]x*\sqrt{2}[/tex]
So that's how we find our answers :0)
Josephine wrote the numbers 1-100 and placed them in a bag.If she selects a number without looking what is the probability that the number is greater than 78
Answers
how many lines of symmetry dose this picture have??
Answers
Answer:
1 line of symmetry
Step-by-step explanation:
picture has only vertical symmetry
the point (2, 6) is located on a line with slope of 3. which point could also be located on the line?
Answers
Answer
using y = mx+c
where m is the slope and c
6 = 3(2)+c
6 = 6 + c
c= 0
Y-intercept is where the line passes through the y-axis, which is where x = 0
So, when x = 0, y = 0
Another point on the line, then, is {0,0}
Which graph represents an exponential function?
Answers
Answer:
The answer to your question is the third one
Step-by-step explanation:
The first graph is the graph of a
The second graph is of a rational function
The third one is of an exponential function
A six sided die is rolled two times arrange the events in order from the event with the highest probability to the event with the lowest probability
Answers
Answer:
6
Step-by-step explanation:
A six sided die is rolled two times arrange the events in order from the event with the highest probability to the event with the lowest probability
darius and dakota re roommates. together they have 238 books. if darius has 50 more books than dakota, how many books does dakota have? write an algebraic equation using x for a variable for the situation and solve for x
Answers
Answer:
Dakota has 94 books, while Darius has 144.
Step-by-step explanation:
Given that Darius and Dakota are roommates, and together they have 238 books, if Darius has 50 more books than Dakota, to determine how many books does Dakota have the following calculation must be performed:
Dakota = X
Darius = X + 50
X + X + 50 = 238
2X + 50 = 238
2X = 238 - 50
X = 188/2
X = 94
Therefore, Dakota has 94 books, while Darius has 144.
The florist sells roses, carnations, tulips, daisies, and violets. How many ways can he choose three types of flowers for an arrangement?
Answers
A pile of sand has a weight of 90 kg.
The sand is put into a small bag, a medium bag and a large bag
in the ratio 2:3:7.
Work out the weight of sand in each bag.
but
Answers
Answer:
i hope it helps
mapriend
Answer:
Step-by-step explanation:
divide 90 by 2, 3, 7
small bags 90 ÷ 2 = 45
medium bag 90 ÷ 3 = 30
large bag 90 ÷ 7 = 12.8 round it to nearet whole number = 13
The cost of an amusement park ticket has been increasing by the same percentage since 2000.
a. The equation c(t)=80(1.03)^t represents the cost of a ticket in dollars as a function of tea the number of years since 2000 explain what the 80 and 1.03 tells us about the situation
b. what is the percent increase in to get prize from year to year?
what does c(5) mean in the situation? find its value and show your reasoning
Answers
b. c(5) means what the cost of the ticket in 2005 is, it’s value is 92.74 because 80(1.03)^5 is 92.74
Find one value of x that is a solution to the equation:
(3x + 7)2 = -6x – 14
Answers
Answer: x = -7/3
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/%5Cleft(3x%20%2B%207%5Cright)2%20%3D%20-6x%20-%2014
there are the steps
Answer:x=-7/3
Step-by-step explanation:(3x+7)(2)=−6x−14
(3x)(2)+(7)(2)=−6x+−14(Distribute)
6x+14=−6x+−14
6x+14=−6x−14
6x+14+6x=−6x−14+6x
12x+14=−14
12x+14−14=−14−14
Add 1.8m, 77cm, 210mm and give your answer in cm
Answers
The total length is 2.077m (2177 cm).
What is length?Length is a measurement of size, distance, or duration. It can refer to physical size (length of a field, length of an object, etc.), distance (length of a journey, length of a river, etc.), or duration (length of a movie, length of a school day, etc.). Length can also refer to the duration of time it takes to complete something (length of a task, length of a process, etc.). Length is typically measured in units such as meters, feet, inches, miles, kilometers, and seconds.
The given measurements can be added together to calculate a total length. The addition of 1.8m, 77cm, and 210mm can be expressed in the form of a sum equation. The equation would be 1.8m + 77cm + 210mm = ?.
To solve this equation, the measurements need to be converted to the same unit of measurement. In this case, all measurements can be converted to cm. 1.8m is equal to 1800cm, 77cm is equal to 77cm, and 210mm is equal to 21cm.
Therefore, the sum equation becomes 1800cm + 77cm + 21cm = ?. To find the total length, the numbers can be added together.
The total length is 1977cm. However, since the measurements are expressed in decimals, the answer must also be expressed in decimals. Therefore, the total length is 2.077m (2177 cm).
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An aquarium holds 11.5 cubic feet of water, and is 2.2 feet long and 1.6 feet wide. What is its depth??
The depth is _____ feet.
Answers
Answer: 3.52
Step-by-step explanation:
Hey!
So for this problem, we need to follow the Volume formula which is:
length x width x height
We know our length and width so all we need is our height (depth)
First , We multiply our length and width.
2.2 x 1.6 = 3.52
Next, we figure out what times this will equal 11.5. We can see that this number can’t be times 4 because that would make it twelve so we need to lower it. We can divide 11.5 (the volume) by 3.52 to get our answer.
We get 3.267. Rounded to the hundredths it would be 3.27 ft.
Hope this helps! :D
Sorry if I messed anything up!
Comment down below if you have any further questions!
Find the value of the trigonometric ratio.
Answers
Answer:
A) 12 / 13
Step-by-step explanation:
The Sine of a number is defined as the ratio of the length of the side opposite the angle, divided by the length of the hypotensue.
(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0
Answers
Answer:
(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0
2mx^2+x^2-2mx+5x+2m+1=0
3mx^2+5x+1=0
That's as far as you can get simplifying it.
Step-by-step explanation:
The perimeter of a rectangular lawn is 108 meters it is 35 meters long how wide is it
Answers
Answer:
19 meters
Step-by-step explanation:
1. 35×2= 70
2. 108-70=38
3. 38÷2=19
I hope that helped☺
Anyone read tgcf/heaven officials blessing??
Answers
Multiply the fractions. Select the answer that is in simplest form.
1
1
5- X 1 = ?
2
4
OA.
1
5
8
OB
1
6
4
OC.
7
6-
8
Answers
Answer:
1 is factors of this question
Answer:
a.option is your answer
The square root parent function is translated so that it has an endpoint located at (4,-1), then
vertically compressed by a factor of 1/3. Write an equation that could represent this function.
PLEASE HELP
Answers
Answer:
Step-by-step explanation:
[tex]parent~function~f(x)=\sqrt{x-4} -1\\new ~function ~g(x)=\frac{1}{3} \sqrt{x-4}-1[/tex]
Using translation concepts, an equation that could represent this function is:
[tex]f(x) = \frac{1}{3}(\sqrt{x - 4} - 1)[/tex]
The square root parent function is given by:
[tex]f(x) = \sqrt{x}[/tex]
The endpoint is (0,0).What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.After the translation:
The endpoint is (4,-1), hence it was shifted 4 units right and 1 unit down, which means that the equation is now:[tex]f(x) = \sqrt{x + 4} - 1[/tex]
Vertically compressed by a factor of [tex]\frac{1}{3}[/tex] means that it was multiplied by [tex]\frac{1}{3}[/tex], hence:[tex]f(x) = \frac{1}{3}(\sqrt{x - 4} - 1)[/tex]
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As a member of the United Nations, you must consider each of the following proposals. In each case, assume that the United Nations would like to receive as many emergency supplies as possible, while still having each nation give equally.
a. One proposal is that each country gives medicine packages. How many food packages should the United Nations require from each country in this case? Explain how you made your decision.
b. Another proposal is to get the largest number of medicine packages possible. What is the largest number of medicine packages that each country can offer? How did you find your answer?
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
For point a:
Initially, we have had to figure out how many packaged food the country should offer with both the biggest quality and then the number of packages each country should give.
Find out just how many food packages a nation should donate with both the lowest budget.
For point b:
They first need to figure out just how many medication packages the country should donate on the lowest budget, and then how many packages each country can donate.
Find out just how many medicinal packets the smallest budget nation can donate.
You're creating plans for a building project, and you use a T-square to create a set of angles from lines that are perpendicular, meaning the lines are at right angles to each other, or ______ degrees? a. 225, b. 45, c. 180, d. 90
Answers
Answer:
d. [tex]90^{\circ}[/tex]
Step-by-step explanation:
This is the definition of perpendicularity.
Ben is walking 150 miles in 31 days to raise money for a charity. He wants to walk the same distance each day. How far should he walk each day?
Explain what you did with the remainder and why.
Answers
150/31 = 4.8 miles per day