Answers
An increasing exponential function is defined as follows:
y = a(1 + r)^x.
In which:
a is the initial value.r is the growth rate, as a decimal.For this problem, the function is given as follows:
y = 20000(1.14)^t.
In which the parameters are given as follows:
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Related Questions
Point A of a triangle ABC is at (3,2). If triangle ABC is reflected about the x-axis, what are the new coordinates of A?
Answers
The new coordinates of A would be (3, -2)
Answer:
A prime = (3,-2)
x=3
y=-2
What is the volume of the shape below?
Answers
A) 90 ohms
B) 80 ohms
C) 100 ohms
D) 4 ohms
Jen is a biologist studying endangered and at-risk species in Mongolia. When she first started
studying the snow leopard population, she estimated that there were 1,000 snow leopards in
Mongolia. After one year, Jen estimated that the population had decreased to 990. She
expects the snow leopard population to continue decreasing each year.
Write an exponential equation in the form y = a(b) that can model the estimated snow
leopard population in Mongolia, y, in x years.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
00
(0)
To the nearest whole number, how many snow leopards can Jen expect there to be in
Mongolia in 5 years?
snow leopards
O
3
31
D
2
Answers
The population of the leopard in 5 years is 951
How to determine the exponential functionFrom the question, we have the following parameters that can be used in our computation:
Initial population, a = 1000
After one year = 990
This means that the rate r is
r = 990/1000
r = 0.99
The function is represented as
y = ar^x
So, we have
y = 1000(0.99)^x
In 5 years, we have
y = 1000(0.99)^5
y = 951
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An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 8.
Event B: The sum is an even number.
Write your answers as fractions.
Answers
Answer:
Step-by-step explanation:
There are 6 possible outcomes for each of the two rolls, so there are 6 x 6 = 36 possible outcomes for the sum of two rolls.
Event A: The sum is greater than 8.
There are five possible ways to achieve a sum greater than 8: (3, 6), (4, 5), (4, 6), (5, 4), and (6, 3). Each of these outcomes has a probability of 1/36. Therefore, the probability of event A is:
P(A) = 5/36
Event B: The sum is an even number.
There are three possible ways to achieve an even sum: (1, 1), (2, 2), and (3, 3). Each of these outcomes has a probability of 1/36. There are also three possible ways to achieve a sum of 4: (1, 3), (2, 2), and (3, 1). Each of these outcomes has a probability of 1/36. Similarly, there are three possible ways to achieve a sum of 6, 8, 10, and 12. Therefore, the probability of event B is:
P(B) = (3 + 3 + 3 + 3 + 3 + 3)/36
P(B) = 18/36
P(B) = 1/2
Therefore, the probability of event A is 5/36 and the probability of event B is 1/2.
A ballon archway has been ordered for decorating the high school gym for a 1950 style prom. The archway will contain 275 balloon , each holding 1. 2 liters of helium. Each balloon has a mass of 2. 7 milligrams when empty , and all the string and fixing that hold the balloon together total another 45 grams , If the helium has a density of 0. 1785 grams per liter , what is the mass of the entire archway ?
Answers
Step 1: Calculate the total volume of helium needed for the archway.
The total volume of helium needed for the archway is 275 balloons x 1.2 liters/balloon = 330 liters.
Step 2: Calculate the mass of the helium needed for the archway.
The mass of the helium needed for the archway is 330 liters x 0.1785 grams/liter = 58.85 grams.
Step 3: Calculate the mass of the balloons and string.
The mass of the balloons and string is 275 balloons x 2.7 milligrams/balloon + 45 grams = 74.75 grams.
Step 4: Calculate the total mass of the archway.
The total mass of the archway is the sum of the mass of the helium and the mass of the balloons and string.
Therefore, the total mass of the archway is 58.85 grams + 74.75 grams = 133.6 grams.
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c. How does the estimated value compare to the actual value
from the table when x is 2.3?
d. How does the estimated value compare to the actual value
from the table when x is 3?
Answers
(c) When x is 2.3, the predicted value is 0.02 less than the actual value first from database (d). When x is 3 and the predicted value is compared to the actual figure from the table, the residual is -1.27.
What would be an estimate?For instance, rounding these values with two decimal places to one nearest tenth (3.4 + 5.5) would result in an approximate reply of 8.9. The estimated result would be 9, but they might potentially be increased to the next full number (3 + 6). The correct response is 8.91.
(c). Nearly 6.2 Minus 6.18 = 0.02 separates the projected result from the actual value. As a result, there is hardly any change. The residual is thus 0.02
(d). Y Equals 4.47 whenever x = 3 because 2.45 × 3 + 11.82. Since the true value is 3.2 and the anticipated value is 4.47, the differences between the two is 1.27. The residual is thus 1.27.
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what does it mean if the first of a two step tuberculin skin test is negative and the second is positive? what does it mean if both tests are negative?
Answers
It reads the second test. o Negative - assume that the person is not infected. o If positive, take a prior TB infection into consideration. Any asymptomatic person whose chest X-ray shows no signs of an active illness will be forwarded to the health department.
What brings about TB infection?
The bacteria Mycobacterium tuberculosis is the one that causes tuberculosis (TB).
When someone who has active TB disease in their lungs coughs or sneezes and the TB bacteria-containing droplets are ejected, the disease is disseminated when the other person inhales them.
What transpires if you have TB?
Feelings of sickness or weakness, weight loss, a high temperature, and nocturnal sweats are some of the common signs of TB disease.
Coughing, chest pain, and the coughing up of blood are other signs of TB lung disease. Depending on the location affected, TB illness symptoms may manifest in various body parts.
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Help me please not sure how to do this. it doesn't make sense to me.
Answers
Answer:
? = 5cm
Step-by-step explanation:
We know the right side is 14 cm; that is the combination of the 9 cm and the length of the ?
So, to find the ? we take
14 - 9 = 5cm
So, the ? equal 5cm
If each quadrilateral below is a square, solve for x.
X =
Answers
Answer:
x=11°
Step-by-step explanation:
We can see that the square is split into 4 triangles. We also have the midpoint T. Because Each angle of a square is 90 degrees and ∠PQR is divided in half, m∠PQT=45 degrees. By substitution, (4x+1)=45°
Solve:
(4x+1)=45°
4x=44°
x=11°
PLEASE MARK AS BRAINLIESTAt lake view middle school, there are 2 homeroom teachers assigned to every 48 students. Is the number of students at this school proportional to the number of teachers? Explain your reasoning
Answers
Answer:
Yes
Step-by-step explanation:
Since it literally says "there are 2 homeroom teachers assigned to every 48 students", this means that it is a ratio because 2 teachers: 48 students are proportional.
Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 5 units long. Point C is on the line x = −2. If the area of ΔABC is 12.5 square units, then find a possible y-coordinate of point C. (1 point)
5
6
7
8
Answers
Answer: The area of right triangle ABC can be found using the formula (1/2)bh, where b is the length of the base and h is the height. Since the base of the triangle is 5 units and the area is 12.5 square units, the height must be 2.5 units.
Knowing that point C is on the line x = -2, we can use the height of 2.5 units to find the y-coordinate of point C.
Starting from the line y = 2, moving 2.5 units down will give us a y-coordinate of y = 2 - 2.5 = -0.5.
So, a possible y-coordinate of point C is -0.5.
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
A = 1/2 (b)(h)
12.5 = 1/2 (5)(h)
Multiply both sides by 1/2 or 2 to cancel out the fraction
2 x 12.5 = 1/2 (5)(h) x 2
25 = 5h
Divide both sides by 5 to get h on its own
25/5 = 5h/5
h = 5
HOWEVER, 5 is not our answer because we started on y = 2.
So,
5 + 2 = 7
A temple has 14 cylindrical pillars made of concrete. If the radius of base of each pillar is 20 cm and height is 5 m,how much concrete is required to make the pillars?Find it
Answers
The volume of the 14 cylindrical pillars made of concrete is 8.8 m³
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.
The volume of a cylinder is:
Volume = π * radius² * height
A temple has 14 cylindrical pillars made of concrete. If the radius of base of each pillar is 20 cm and height is 5 m.
Radius = 20 cm = 0.2 m
Volume of each cylindrical pillar = π * 0.2² * 5 = 0.628 m³
Volume of 14 cylindrical pillar = 14 * 0.628 m³ = 8.8 m³
The volume of the pillars is 8.8 m³
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equations 4 x minus 5 y = 5, 3 x + 10 y = 20, 4 x minus 5 y = negative 5, and 3 x + 10 y = negative 20 are shown on the graph below.
On a coordinate plane, there are 4 lines. Green line goes through (0, 1) and (2.5, 3). Orange line goes through (0, negative 1) and (2.5, 1). Blue line goes through (0, 2) and (3.5, 1). Pink line goes through (0, negative 2) and (3.5, negative 3).
Which system of equations has a solution of approximately (–2.7, –1.2)?
4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20
4 x minus 5 y = 5 and 3 x + 10 y = 20
4 x minus 5 y = 5 and 3 x + 10 y = negative 20
4 x minus 5 y = negative 5 and 3 x + 10 y = 20
Answers
The solution is Option A.
The system of equations is 4x - 5y = -5 and 3x + 10y = -20
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
4x - 5y = -5 be equation (1)
3x + 10y = -20 be equation (2)
Now , the solution to the equations is ( -2.7 , -1.2 )
Substituting the values of x and y in the equation , we get
4 ( -2.7 ) - 5 ( -1.2 ) = -5
-10.8 + 6 = -5
-4.8 ≈ 5
And ,
3 ( -2.7 ) + 10 ( -1.2 ) = -20
-8.1 + ( -12 ) = -20
-8.1 - 12 = -20
-20.1 ≈ 20
Hence , the equations are 4x - 5y = -5 and 3x + 10y = -20
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jesse was ranked 45th in his graduating class of 180 students. at what percentile is jesse's ranking? (round your answer to the nearest whole number.)
Answers
Jesse's ranking is 25th percentile.
Jesse's ranking can be calculated using the following formula:
Percentile = (Jesse's ranking / Total number of students in class) x 100
In this case, Percentile = (45/180) x 100 = 25th Percentile
Therefore, Jesse's ranking is 25th percentile.
To calculate percentile, we divide the rank of the student with the total number of students in the class and then multiply the result with 100. In this case, Jesse was ranked 45th in a class of 180 students and so his percentile is 25%. Percentile is a measure that helps us to compare individuals in a group. It helps us to know the relative performance of a person in a given group of people. Generally, a higher percentile indicates better performance than the other students in the group.
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Sue has a bag of 18 sweets.
5 of the sweets are blue
7 of the sweets are red
6 of the sweets are green
Sue takes at random a sweet from the bag.
Write down the probability that Sue
(i) takes a red sweet,
(ii) does not take a green sweet
(ii) takes a yellow sweet
Answers
Answer:
(i) 38.9%
(ii) 33.3%
(iii) 0%
Step-by-step explanation:
The total number of sweets is 18. The probability of picking a color can be determined by dividing the number of each color by the total:
Blue: 5/18 or 27.8%
Red: 7/17 or 38.9%
Green: 6/18 or 33.3%
Yellow: 0/18 or 00.0%
Totals 18/18 100%
Note that the question askes for Yellow sweets, but there are none.
2. Recall the 7 bridge problem you studied in this lesson. As you
saw, there was no possible path which uses each bridge once
and only once. This is because there were more than two dots
which had three lines connected to them.
Can you add a single bridge so that there is a path which
uses each bridge once and only once? Give one example
and indicate what points you have to use for your starting
and stopping point.
Answers
There is no possible way that you can add a single bridge so that there is a path that uses each bridge once and only once.
Hence, the answer is no solution.
What is the seven bridge problem?The seven bridges problem was seven bridges linking the various land masses of the town of Königsberg which straddles the Pregel River and that contained two islands.
The challenge was coming up with a route through the city that would only cross each of those bridges once. blatantly inappropriate. Euler demonstrated that the issue cannot be solved.
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i grow 2 cupcakes every 8 hours for 24 hours
how many cupcakes grow?
Answers
At the end of 24 hours, 48 cupcakes will have grown. Every 8 hours, two cupcakes are grown, so after 24 hours, 24 sets of two cupcakes have been grown. Therefore, 48 cupcakes have grown.
At the end of 24 hours, 48 cupcakes will have grown. This is because every 8 hours, two cupcakes are grown. After 24 hours, 24 sets of two cupcakes have been grown. This means that in the 24 hours, two cupcakes were grown a total of 24 times. When this total is multiplied by two, it results in 48 cupcakes being grown. Therefore, after 24 hours, 48 cupcakes have grown. It is important to note that this is only the number of cupcakes that have grown in the 24 hour period, and not the total number of cupcakes. This number includes any cupcakes that were already present at the beginning of the 24 hour period, so the total number of cupcakes at the end of the 24 hour period could be higher than 48.
1. Calculate the number of sets of cupcakes grown in 24 hours: 24 hours divided by 8 hours = 3 sets
2. Calculate the number of cupcakes grown in 24 hours: 3 sets multiplied by 2 cupcakes = 6 cupcakes
3. Calculate the total number of cupcakes grown in 24 hours: 6 cupcakes multiplied by 4 sets = 24 cupcakes
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Ravi had a rope. He used 45 cm of the rope to tie a parcel
He then cut the remaining rope equally into 4 pieces. Each piece was 65 cm long. (A)
Answers
As per unitary method,
a) The length of the rope left after tying the parcel 260 cm
b) The initial length of the rope was 305cm.
The unitary method is a mathematical tool used to solve problems involving the partition of a whole into parts.
(a) To find the length of the rope left after tying the parcel, we subtract the length of the rope used to tie the parcel from the initial length of the rope. The length of the rope left is:
=> Initial length of the rope - Length of rope used to tie the parcel = Length of rope left
We are told that Ravi used 45cm of the rope to tie a parcel. Therefore, the length of rope left can be expressed as:
Initial length of the rope - 45 = Length of rope left
(b) To find the initial length of the rope, we add the length of the rope used to tie the parcel to the length of the rope left.
We know that the length of the rope left is divided into 4 pieces of 65cm each. Therefore, the total length of the rope left is
=> 4 x 65 = 260cm.
We can now use this information to find the initial length of the rope:
Length of rope left + Length of rope used to tie the parcel = Initial length of the rope
260 + 45 = 305cm
Complete Question:
Ravi had a rope. He used 45cm of the rope to tie a parcel. He then cut the remaining rope equally into 4 pieces. Each piece was 65cm long.
(a) Find the length of the rope left after tying the parcel.
(b) How long was the rope at first?
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Amanda uses 1/3 of a cup of milk each time she makes a batch of pancakes. How many batches can she make if she only has 11/12 of a cup of milk left?
Answers
(11/12) ÷ (1/3) = 11 ÷ (1/12) ÷ 3 = 11 ÷ 1/4 = 44/4 = 11
This means Amanda has 11/3 cups of milk left, which she can use to make 11/3 ÷ (1/3) = 11 ÷ (1/3) = 11 batches of pancakes. So Amanda can make 11 batches of pancakes with the 11/12 cup of milk she has left.
Can someone please help me with this question. If you do, you’ll be rewarded with brainliest and extra points!
Answers
Answer:
Angle D
Step-by-step explanation:
The answer should be Angle D
Answer:
hey! the answer is angle D
Because in quadrilateral ECFD and WVUX
Step-by-step explanation:
ANGLE E = ANGLE W
ANGLE C = ANGLE V
ANGLE F = ANGLE U
AND,
ANGLE D = ANGLE X
3/4 - 1 1/4
Just need an step by step
Answers
3/4-2 3/4= -2
Answer:
Step-by-step explanation: 3/4 + 11/4= (3 + 11)/4
= 14/4
= 7/2 or 3[tex]\frac{1}{2}[/tex]
why can i not type anything
now I can but pleas read the image and elp
Answers
Answer:
Step-by-step explanation: have u tried turning off and back on again
Find the number that should be added to the expression to create a perfect square trinomial.
x^2-7x+?
Answers
Answer:
To find the
c
value
c
=
(
b
2
)
2
, divide the coefficient of
x
by
2
and square the result.
49
4
Add
49
4
to get the perfect square trinomial.
x
2
−
7
x
+
49
4
Use the equation to answer the question.
-(t+2) = -31 +23
What value of t makes the equation true? Enter the answer in the box.
Answers
Answer:
t = 6
Step-by-step explanation:
-(t+2) = -31 +23
Solve for t.
Combine like terms on the right.
-(t+2) = -8
Divide each side by -1.
t+2 = 8
Subtract 2 from each side.
t+2-2 = 8-2
t = 6
Find the period, the equation of the midline, and amplitude of the function y = 6 sin 4x.
Answers
The period of the function is 1.57 s.
The amplitude of the function is 6.
The equation of the midline, y = 6 sin 4x + 0.
What is the period and amplitude of the sine function?
The general form of a sinusoidal function is y = A sin(Bx - C) + D,
where:
A is the amplitudeB determines the period, as T = 2π/BC is the phase shift (how much the graph is shifted horizontally)D is the vertical shift (how much the graph is shifted vertically)For the given function y = 6 sin 4x, we can see that:
A = 6 (the amplitude is the absolute value of the coefficient of the sine function)
B = 4 (the coefficient of x inside the sine function determines the period)
C = 0 (there is no horizontal shift)
D = 0 (there is no vertical shift, so the midline is the x-axis)
Therefore, the period T is given by:
T = 2π/B = 2π/4 = π/2 = 1.57 s
The midline is the x-axis, so its equation is y = 0.
The amplitude is A = 6.
Therefore, we can write the equation of the function in the general form as:
y = 6 sin 4x + 0
or
y = 6 sin(4x)
Note that since the midline is the x-axis and there is no vertical shift, the sine function will oscillate between -6 and 6.
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Nader plans to buy a used car. He can afford to pay $280 at the end of each month for three years. The best interest rate he can find is 9.8%/a, compounded monthly. For this interest rate, the most he could spend on a vehicle is $8702.85. Determine the amount he could spend on the purchase of a car if the interest rate is 9.8%/a, compounded annually.
Answers
Nader can spend on the purchase of a car if the interest rate is 9.8%/a, compounded annually, is $8715.82
Compound interest is the interest that is earned on the principal amount of a loan or investment, as well as the interest that is earned on the accumulated interest.
In this case, Nader wants to purchase a used car and can afford to pay $280 per month for three years. He has found the best interest rate he can get, 9.8%/a, compounded monthly. However, if the interest rate is compounded annually, the most he could spend on the vehicle will be different.
To calculate this, we need to use the formula for compound interest, which is
A = P(1 + r)ˣ,
where A is the total amount, P is the principal amount, r is the interest rate, and x is the time period.
When we apply the values on it, then we get,
=> A = $8702.85(1 + 9.8)³
=> A = $8715.82
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a 14 oz bottle of hair gel lasts Emily 21 weeks. how long will and 18 oz bottle last her?
Answers
Answer:
27 weeks
Step-by-step explanation:
first you would figure out how long one oz. of hair gel would last her. You would do this by dividing 21 by 14. 21/14 is 1.5. Next, if 1 oz. lasts 1.5 weeks, and there is a 18 oz bottle, then all you need to do is multiply 18 by 1.5. 18 times 1.5 is 27. Therefore, an 18 oz. bottle of hair gel would last Emily 27 weeks.
A maintenance worker needs to wax a restaurant floor shaped like the image shown.
If the wax cost $1.38 a square foot, how much will the wax cost to cover the floor?
(A six-sided figure. There is a horizontal base of 35 feet then another horizontal base below it of 20 feet. The longest side is to the right and is 40 feet. The top is 30 feet. There is a perpendicular from the vertex of the top to the first base of 35 that is labeled 15 feet.)
Answers
Based on the total area of the floor, the cost to cover the floor is $1569.75.
What is the area of the floor?The area of the floor is calculated as follows:
Area of floor = Area of the trapezium + Area of rectangle
Area of the trapezium = (a + b)/ * h
a = 30 - 20 ft or 10 ft
b = 35 ft
h = 15 ft
Area of the trapezium = (10 + 35)/2 * 15
Area of the trapezium = 337.5 ft²
Area of rectangle = 40 * 20
Area of rectangle = 800 ft²
Area of floor = 800 ft² + 337.5 ft² or 1137.5 ft²
The cost to cover the floor = 1137.5 * $1.38
The cost to cover the floor = $1569.75
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Which figure has the same area as the parallelogram? pls answer i need this tonight. 32.2 is at the bottom and 20.5 is on the left side
Answers
The area of the parallelogram that has a width of 32.2 units and a height of 12.6 units will be 405.72 square units.
What is the area of the parallelogram?Let H be the height and W be the width of the parallelogram. Then the area of the parallelogram will be given as,
Area of the parallelogram = H × W square units
The width of the parallelogram is 32.2 units and the height of the parallelogram is 12.6 units. Then the area of the parallelogram is given as,
A = 32.2 x 12.6
A = 405.72 square units
The area of the parallelogram that has a width of 32.2 units and a height of 12.6 units will be 405.72 square units.
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for three years a local coffee shop rewards program offered 1 point for every whole dollar spent and an additional 5 points for each purchase suppose the shop changes the points offered to an additional 8 points for each purchase and 1 point for every whole dollar spent write two step rules f(x) and g(x) that model each rewards program
Answers
On solving the provided question, we can say that The function that can be made are f(x)= INT (x) + 5 and g(x)= INT (x) + 8
Describe function.Quantities and their variations, equations and related structures, shapes and their placements, and locations where they can be found are all included in the study of mathematics.
The relationship between a group of inputs, each of which has a related output, is referred to as a "function." A function is a relationship between inputs and outputs where each input produces a single, unique result. Every function has a domain and a codomain, often known as a scope. F is typically used to denote functions (x).
An x is the input. Based on the following criteria, there are four primary categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
The function that can be made are -
Let x = dollar spent
coffee shop rewards program offered 1 point for every whole dollar spent and an additional 5 points for each purchase
⇒ f(x)= INT (x) + 5
the shop changes the points offered to an additional 8 points for each purchase and 1 point for every whole dollar spent
⇒ g(x)= INT (x) + 8
The graph of g will be a vertical translation and 3 units up from the graph of f.
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