Answer: Thor got 32 magic pencils
Step-by-step explanation: The ratio say it is 4:6:3 which means that we have to add them together to get the total. 4+6+3=13. Now that we know we have 13 parts we need to divide by 104 to get the answer, 104/13=8, Thor got 4 parts, as we know from the problem so we multiply 8 by 4 and we get 32.
Quadrilateral hgfj is a rhombus. gf=16 cm and m∠ghk=42°. what is jf and m∠kgh? enter your answers in the boxes.
The value of JF = 16 cm and m ∠KGH = 48° in quadrilateral HGFJ which is a rhombus.
What is a rhombus?A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus. Rhombi or rhombuses are the plural forms of rhombus.
Quadrilateral HGFJ is a rhombus.
GF=16 cm and m∠GHK=42°.
The diagonals of the rhombus bisect each other at the right angle.
So,
m ∠KGH = 180 - 90 - 42
m ∠KGH = 48°.
And JF = GF = 16 cm.
m ∠KGH = 48°.
And JF = GF = 16 cm.
Hence, the value of JF = 16 cm and m ∠KGH = 48° in quadrilateral HGFJ which is a rhombus.
Learn more about rhombus here:
https://brainly.com/question/27870968
#SPJ1
what is definition of accuracy?
Answer: The fact of being correct and without any mistakes:
Step-by-step explanation: Hope this helps!
The equation can be used to find q, the number of quarters equal to 60 dollars.
q over 4 equals 60
How many quarters are equal to 60 dollars?
Answer:
15
Step-by-step explanation:
q/4=60
Just divide 60 by 4. :)
A fruit seller had 2520 apples and oranges. There were 2/3 as many apples as oranges. He threw some rotten apples away and the ratio of apples to oranges became 1 : 4. How many rotten apples did he throw away?
If the fruit seller threw some rotten apples away and the ratio of apples to oranges became 1 : 4. The fruit seller threw away 630 rotten apples.
To find the number of rotten apples that the fruit seller threw away, we will need to use the given information and set up equations to solve for the unknown variable.
Let's start by using the given information that there were 2/3 as many apples as oranges. We can set up an equation to represent this relationship:
2/3 O = A
Where O is the number of oranges and A is the number of apples.
We are also given that the fruit seller had 2520 apples and oranges in total. We can set up another equation to represent this relationship:
O + A = 2520
Now, we can use the first equation to solve for one of the variables in terms of the other. Let's solve for A in terms of O:
A = (2/3)O
Now we can substitute this expression for A into the second equation:
O + (2/3)O = 2520
Simplifying this equation gives us:
(5/3)O = 2520
Now we can solve for O:
O = (3/5)(2520) = 1512
Now that we know the number of oranges, we can use the first equation to solve for the number of apples:
A = (2/3)(1512) = 1008
So the fruit seller originally had 1008 apples and 1512 oranges.
We are also given that after throwing away some rotten apples, the ratio of apples to oranges became 1:4. We can set up an equation to represent this relationship:
(A - X)/O = 1/4
Where X is the number of rotten apples that were thrown away.
Substituting the values we found for A and O into this equation gives us:
(1008 - X)/1512 = 1/4
Cross-multiplying and simplifying gives us:
4(1008 - X) = 1512
4032 - 4X = 1512
4X = 2520
X = 630
Therefore, the answer to the question is 630.
Learn more about ratio here:
https://brainly.com/question/26460724
#SPJ11
Ambers dinner bill is $36. 00 if amber leaves a 17% tip, how much tip will amber leave?
Answer:
$42.12
Step-by-step explanation:
if tip is 17% then she should pay 117% (this is 1.17)
$36 * 1.17 = $42.12
when can a correlation coefficient based on an observational study be used to support a claim of cause and effect?NeverWhen the correlation coefficient is close to -1 or +1.When the correlation coefficient is equal to -1 or +1.When the scatterplot of the data has little vertical variation.
A correlation between 0 and -1 or 0 and 1 indicates a weaker correlation, but still a statistically significant one.
A correlation coefficient based on an observational study can be used to support a claim of cause and effect when the correlation coefficient is statistically significant. This means that the correlation coefficient is so strong that it is unlikely to have happened by chance, and that there is likely a causal relationship between the two variables.
Mathematically, correlation coefficients are expressed as a number between -1 and 1.
A correlation coefficient of -1 indicates a perfectly negative correlation, where as one variable increases, the other decreases, and vice versa.
A correlation coefficient of 1 indicates a perfectly positive correlation where both variables move in the same direction.
To know more about correlation coefficient here.
https://brainly.com/question/15577278
#SPJ4
How to convert 750 ml is how many ounces?
The value of volume 750 ml after converting to ounces is 25.36 ounces.
To convert 750 ml to ounces, we need to use a conversion factor. Knowing how to convert between ml and oz can help you accurately measure and mix ingredients for cooking, baking, or creating cocktails.
One fluid ounce is equal to 29.5735 milliliters. Therefore, we can multiply 750 ml by the conversion factor of 1/29.5735 to get the equivalent amount in ounces.
750 ml x (1/29.5735) = 25.36 oz
So, 750 ml is equal to 25.36 ounces.
This is a common conversion that you may encounter when dealing with liquids, especially in the United States, where ounces are the standard unit of measurement for volume.
To know more about volume:
brainly.com/question/23409099
#SPJ4
Volume of a cylinder with polynomials radius is x+3 and height is x+11
Answer:
The formula for the volume of a cylinder is:
V = πr^2h
where r is the radius of the cylinder and h is its height.
In this case, the radius is x+3 and the height is x+11, so we can substitute these values into the formula:
V = π(x+3)^2(x+11)
Simplifying this expression, we have:
V = π(x^2 + 6x + 9)(x+11)
V = π(x^3 + 17x^2 + 69x + 99)
Therefore, the volume of the cylinder with radius x+3 and height x+11 is π(x^3 + 17x^2 + 69x + 99) cubic units.
Janet created a list of numbers on the board in order from greatest to least. Which list is the one that Janet could have created?
In this list, 10 is the largest number and -1 is the smallest number, so it is also ordered from greatest to least.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Without a list of options to choose from, it is difficult to determine which list Janet could have created. However, generally speaking, a list of numbers in order from greatest to least would start with the largest number and end with the smallest number.
For example:
10, 8, 5, 3, 1
In this list, 10 is the largest number and 1 is the smallest number, so it is ordered from greatest to least. Other examples could include:
-1, 2, 4, 7, 10
Therefore, In this list, 10 is the largest number and -1 is the smallest number, so it is also ordered from greatest to least.
To learn more about Algebraic expression from given link.
https://brainly.com/question/28884894
#SPJ1
Upload the worksheet with your constructions below.
Answer:
hey! you can use it!!
Step-by-step explanation:
thanks
It is assumed that approximately 15% of adults in the US. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Why or why not? Choose the correct answer below ○ A. O B. Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent. No, because the 30 adults represent more than 5% of the sample size, the trials are dependent No, because the 100 adults were selected without replacement, the selections are dependent. No, because the probability of being right-handed is greater, x must count the number of right-handed adults. C. O D.
D. No, because the probability of being left-handed is greater, x must count the number of left-handed adults.
The binomial probability formula can be used to calculate the probability of a certain number of successes (or left-handed individuals) in a given number of trials (100 adults). In order for the binomial probability formula to be used, the trials must be independent, meaning that the selection of one person does not affect the selection of the next one. Since the probability of being left-handed is greater, the binomial probability formula cannot be used in this case and x must count the number of left-handed adults.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
The graph linear function is shown on the coordinate grid what is the y-intercept of the graph of this function 4,8 -5 -7
The y-intercept of a linear function is the point at which the graph of the function crosses the y-axis. This point is represented by the coordinate (0, b), where b is the y-intercept.
In the given graph, we can see that the graph of the linear function crosses the y-axis at the point (0, -5). Therefore, the y-intercept of the graph of this function is -5.
To summarize, the y-intercept of the graph of this function is -5.
Answer: -5
https://brainly.com/question/20286983
#SPJ1
An average American consumes 75 liters of icecream in a year how many millimeters will 50 Americans consume in one week
I think I might have an answer to your question!
To convert liters to millimeters, we need to know the density of ice cream. The density of ice cream can vary depending on the type and composition of the ice cream.
According to a source, the density of ice cream is around 0.6 g/mL on average. Therefore, 1 liter of ice cream would weigh around 600 grams or 600,000 milligrams.
With this information, we can calculate the total amount of ice cream consumed by 50 Americans in one week as follows:First, we need to convert the annual consumption from liters to milliliters:
75 liters/year * 1000 milliliters/liter = 75,000 milliliters/year
Next, we need to calculate the amount consumed in one week by one American:
75,000 milliliters/year / 52 weeks/year / 1 American = 1,442 milliliters/week/American
Finally, we can calculate the amount consumed by 50 Americans in one week:
1,442 milliliters/week/American * 50 Americans = 72,100 milliliters/weekTherefore, 50 Americans will consume 72,100 milliliters of ice cream in one week.
pls help me
probability
2) The probability that in a cricket match, a batswoman did not hit a boundary, when she hits it 6 times out of 30 balls played, is 80%.
3) The probability of a family having:
i) 2 girls = 31.67%
ii) 1 girl = 54.27%
iii) No girl = 14.06%
iv) The sum of the probabilities = 1 or 100%
What is the probability?The probability refers to the likelihood that an expected event or outcome occurs when there are many possible outcomes.
We compute probability as the quotient of the the expected success and the total number of successes.
Probability lies between zero and one and is usually expressed as a decimal, fraction, or percentage.
2) Cricket Match:The number of boundary hits = 6
The total number of balls the batswoman played = 30
The probability that the batswoman did not hit a boundary = 1 - 6/30
= 0.8 or 80%.
The chance that the batswoman hit a boundary = 6/30 = 0.2 or 20%.
3) Girls in the Family:The total number of families with 2 children = 1,500
The number of families with 2 girls = 475
The number of families with 1 girl = 814
The number of families with 0 girl = 211
The probability of a family having:
i) 2 girls = 475/1,500 = 0.3167 or 31.67%
ii) 1 girl = 814/1,500 = 0.5427 or 54.27%
iii) No girl = 211/1,500 = 0.1406 = 14.06%
iv) The sum of the probabilities = 1 or 100%
Learn more about probabilities at https://brainly.com/question/24756209
#SPJ1
Which of the following is NOT a key feature of the function h(x)?
h of x equals the quantity x minus 5 end quantity squared when 0 is less than or equal to x is less than or equal to 4 and negative log base 4 of x plus 6 when x is greater than 4.
The domain of h(x) is [0, ∞).
The x-intercept of h(x) is (5, 0)
The y-intercept of h(x) is (0, 25).
The end behavior of h(x) is as x → ∞, h(x) → –∞.
The key feature that is NOT present in the function h(x) is "The x-intercept of h(x) is (5, 0)".
To find the x-intercept of a function, we need to set the y-value to 0 and solve for x. In the case of h(x), we have two different equations for different ranges of x:
h(x) = (x - 5)² when 0 ≤ x ≤ 4
h(x) = -log₄(x + 6) when x > 4
Setting the first equation to 0 and solving for x, we get:
0 = (x - 5)²
0 = x - 5
x = 5
However, this value of x does not fall within the range of 0 ≤ x ≤ 4, so it is not a valid x-intercept for this equation.
Setting the second equation to 0 and solving for x, we get:
0 = -log₄(x + 6)
log₄(x + 6) = 0
4⁰ = x + 6
1 = x + 6
x = -5
This value of x also does not fall within the range of x > 4, so it is not a valid x-intercept for this equation either.
Therefore, the function h(x) does not have an x-intercept of (5, 0), and this is the key feature that is NOT present in the function.
https://brainly.in/question/51681336
#SPJ1
A survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books.
Book Preference
Print Electronic Total
Youths 27 40 67
Adults 29 27 56
Total 56 67 123
What percent of the adults surveyed prefer reading electronic books? Round your answer to the nearest tenth of a percent.
Percentage
48.21% approximately 50%
We got the answer by dividing the number of adults that read electronic books by the total adults
27/56 = 0.4821
we then multiply by 100 to get the percentage of needed. this gives us a decimal
48.21
which when rounded off to the nearest tenth is 50%
to learn more on percentages, kindly read more here
https://brainly.com/question/26064165
#SPJ1
What do we mean by "LiFE"?
*
1 point
Taking choices that benefit the world on a microeconomic or macroecomomic level.
Taking choices that benefit the environment, whether on an individual, national or international level.
Striving towards establishing inclusive and resilient forums that are broad-minded.
Establishing close connections with other nations to benefit global communities and address major societal issues like gender discrimination and marginalisation.
Taking choices that benefit the world on a microeconomic or macroecomomic level.
Taking choices that benefit the environment, whether on an individual, national or international level.
Striving towards establishing inclusive and resilient forums that are broad-minded.
Establishing close connections with other nations to benefit global communities and address major societal issues like gender discrimination and marginalisation.
Identity the independent and dependent variables.
The equation y=12x+30 gives you the amount y (in dollars) in your savings account after x weeks. Please answer quickly!
The required in the equation y = 12x + 30, the independent variable is x, which represents the number of weeks. The dependent variable is y.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In the equation y = 12x + 30, the independent variable is x, which represents the number of weeks. The dependent variable is y, which represents the amount of money in the savings account after x weeks.
The value of y depends on the value of x, so y is dependent on x. However, the value of x does not depend on the value of y, so x is independent.
Learn more about function here:
brainly.com/question/21145944
#SPJ1
The dimensions of a cone are shown in the diagram.
Which measurement is closest to the volume of the sugar cone in cubic inches?
the volume of the sugar cone is closest to 14.14 cubic inches.
How to determine?
The volume of a cone can be calculated using the formula V = (1/3)πr²2h, where r is the radius of the base, h is the height of the cone, and π is approximately 3.14.
In this case, the diameter of the cone is 3 inches, which means the radius, r, is half of that or 1.5 inches. The height of the cone is given as 6 inches.
Plugging these values into the formula, we get:
V = (1/3)π(1.5²2)(6)
V ≈ 14.14 cubic inches
Therefore, the volume of the sugar cone is closest to 14.14 cubic inches.
To know more about cone visit:
https://brainly.com/question/16394302
#SPJ1
A high school principal asks a physical education teacher and football coach to obtain a sample of 20 student each to compare times in physical activity each week. the physical education teacher randomly selects 20 students from her classes and the football coach randomly selects 20 students from football teams. Do you expect the comparison to be fair.
No, the comparison is not expected to be fair. The two groups being compared are not selected randomly from the same population
Describe Population?A population is a group of organisms of the same species that live in the same geographic area and are capable of interbreeding. The term "population" can refer to a group of animals, plants, bacteria, or any other type of living organism.
Populations can vary in size from just a few individuals to millions or even billions. The size of a population can be influenced by a number of factors, including birth rates, death rates, immigration, and emigration.
Populations also have characteristics that define their genetic makeup, such as the frequency of particular alleles or genes. This genetic diversity can influence the ability of a population to adapt to changes in its environment or to recover from disturbances, such as disease outbreaks or natural disasters.
Understanding population dynamics is important for fields such as ecology, conservation biology, and public health, as it can help us to better manage and protect populations of organisms, including our own.
No, the comparison is not expected to be fair. The two groups being compared are not selected randomly from the same population, as the physical education teacher's sample only includes students from her classes, while the football coach's sample only includes students from the football team. This could lead to potential biases and differences between the groups that may not accurately reflect the general population of students at the high school. To ensure a fair comparison, both samples should be selected randomly from the same population.
To know more about education visit:
https://brainly.com/question/29775571
#SPJ1
Admission to Overjoy Amusement Park is $20 $ 20 per visit. However, with a season pass, which costs $40 $ 40 , each admission is $12 $ 12 . Complete the table and write a system of equations to represent the admission costs, where a is the number of admissions and c is the total cost. CLEAR CHECK Complete the table. Cost of Admission($ $ ) Number of Admissions Amount Spent on Season Pass($ $ ) Total Cost With season pass a c Without season pass a c Write a system of equations to represent this problem. With a season pass: Without a season pass:
Total cost with pass = $20a
Total cost without pass = $12a + 40
According to the information
We can write a system of equations for this problem,
Equation 1:
Cost with season pass = 12a + 40
Equation 2:
Cost without season pass = 20a
Therefore,
The system of equations that represents this problem is:
12a + 40 = c ...(i)
20a = c ...(ii)
Now making table for it:
Cost Number Amount Spent Total Cost With Total Cost Without
Ad. Ad. Pass ($) Season Pass Season Pass
20 a 0 20a + 0 20a
12 a 40 12a + 40 12a + 40
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ1
Brody and his children went into a movie theater and he bought $44.50 worth of
drinks and pretzels. Each drink costs $6 and each pretzel costs $3.25. He bought a
total of 12 drinks and pretzels altogether. Determine the number of drinks and the
number of pretzels that Brody bought.
Answer:
10 pretzels and 2 drinks
Step-by-step explanation:
2 drinks are 12
10 pretzels are 32.50
Answer:
2 drinks, 10 pretzels
Step-by-step explanation:
d = # of drinks
p = # of pretzels
1) d + p = 12
2) $6d + $3.25p = $44.50
solve equation 1 for d: d = 12 - p substitute this into equation 2 and solve for p
6(12 - p) + 3.25p = 44.50
72 - 6p + 3.25p = 44.50
-2.75p = 44.50 - 72
-2.75p = -27.50
p = -27.50/-2.75 = 10 plug this into equation 1 and solve for d
d = 12 - 10 = 2
double check the answers: 6(2) + 3.25(10) = 44.50 correct!
Find the volume of the solid bounded by the planes x = 0, y = 0, z = 0, and x + y + z = 9.
The volume of this solid is 18 cubic units.
This solid is a triangular prism with a triangular base and a height of 9 units. To calculate the volume of the solid, we can use the formula V=Bh, where B is the area of the base and h is the height. The base of the prism is a right triangle with sides of length 9, 9, and 6. We can use the Pythagorean Theorem to calculate the length of the hypotenuse of the triangle, which is equal to 12. We can then use the formula for the area of a triangle, A=1/2bh, to calculate the area of the base, which is equal to 27. We can then multiply this by the height, 9, to get the volume of the solid, which is 18 cubic units.
This solid is a triangular prism with a triangular base and a height of 9 units. To calculate the volume of the solid, we can use the formula V=Bh, where B is the area of the base and h is the height. The base of the prism is a right triangle with sides of length 9, 9, and 6.
Learn more about volume here
https://brainly.com/question/16134180
#SPJ4
A cylinder has a radius of 12 m and a height of 9 m. what is the exact volume of the cylinder? responses 108π m³ 108 pi, m³ 216π m³ 216 pi, m³ 972π m³ 972 pi, m³ 1296π m³
The volume of cylinder based on the dimensions of radius and height is 1296π m³.
The volume of cylinder can be calculated by the formula -
V = πr²h, where V refers to volume of the cylinder, r is the radius of the cylinder and h is the height of the cylinder.
Now, keeping the value of the dimensions in the formula to find the volume of cylinder.
V = π × 12² × 9
Taking square and performing multiplication on Right Hand Side of the equation
V = 1296π m³
Note that we have not kept the value of π in the formula to find the exact correct answer. Thus, the volume of 1296π m³.
Learn more about volume -
https://brainly.com/question/463363
#SPJ4
How to convert 12in to mm?
The converted value of the 12inches to millimeters using scale factor is equal to ( 304.8 ) millimeters .
Units inch and millimeters both are the units used to measure length.Scale factor between inch and millimeter is equal to :One inch is equal to 25.4 millimeters
Now multiply both the side of the expression by 12 we get,
⇒ ( 12 × 1 ) inches = ( 12 × 25.4 ) millimeters
⇒ 12 inches = ( 304.8 ) millimeters
Therefore, using the scale factor of inches to millimeter the required 12 inches is equal to 304.8 millimeters.
Learn more about inches here
brainly.com/question/16311877
#SPJ4
what teh awnser is plssssssssss
Interest earned on the cash balance in the bank is recorded by the bank as an increase in the depositor’s bank account.
What is the impact of interest earned?A savings account is a type of account that can be opened with a bank. Savings account earn interest based on the amount of money in their account at the end of the month.
here. we have.
The interest that is earned depends on the number of withdraws, interest rate paid on deposits and the amount deposited in the account. Deposits are recorded as a liability in the balance sheet of a bank. A liability is an obligation that has to be paid at sometime in the future.
This means that at the end of the month, the value of the money in the depositor's saving account increases by the value of interest paid.
For example, if the interest paid by a bank on deposits in a savings account is 10%. If an account has $1000 in the account, the value of the amount at the end of the month is 1,100 (1000 x 1.1).
To learn more about interest, please check: brainly.com/question/28835887
#SPJ9
Mario & Luigi decide to invest in a Mushroom business, Mario invests $500,000 whilst Luigi invests $350,000. After their first year of business, they agree to split the profits within the same ratio of their initial investments. If the business made $3 million in profits, how much will Luigi receive?
a) a day
b) an hour
Amount Luigi received per day is $3,384.4 and Amount Luigi received per hour is about $141
What is Profit?Profit is the difference between the revenue that an economic entity has received from its outputs and the total cost of its inputs.
The amount Mario invests = $500,000
Amount Luigi invests = $350,000
The ratio in which the profit was split after their first year = Within the same ratio of their initial investments
The amount of profit made by the business = $3 million
The ratio of their initial investment = 500,000 : 350,000 = 10 : 7
Therefore, the ratio in which the profit is split = 10 : 7
The amount Luigi received in a year = (7/(10 + 7)) × 3 = 1235294 2/17
The time unit conversion from year to day is presented as follows;
Number of days in a year = 365 days
The amount Luigi received per day = (1235294 2/17)/365 = 3384 456/1241
= 3384.4
The amount Luigi received per day = $3,384.4
b) The number of hours in a day = 24 hours
Amount Luigi received per hour = (3384 456/1241)/24 = 141 19/1241
141 19/1241 = 141
The amount Luigi received per hour is about $141
Hence, amount Luigi received per day is $3,384.4
Amount Luigi received per hour is about $141
To learn more on Profit click:
https://brainly.com/question/15699405
#SPJ1
$18 an hour is how much a year
The rate of $18 an hour will be approximately $157248 for a year .
In order to find how much $18 an hour is in a year,
We need to know how many hours are present in a year.
The number of weeks in 1 year is = 52 weeks ;
and 1 week consists of 168 hours , as 1 week has 7 days and 1 day has 24 hours .
So , 1 year (52 weeks) is = 52 × 168 = 8736 hours .
We get that 1 year consists of 8736 hours ,
Now , multiplying the number of hours by $18 ,
We get ,
⇒ 8736 × 18 = $157248 .
Therefore , $18 an hour will be $157248 for a year .
Learn more about Hours here
https://brainly.com/question/30218624
#SPJ4
Sergio had $500.00 saved for a family trip. Six weeks later he had saved $860.00. At what rate of change did Sergio savings grow
Sergio saved at a rate of change of 34.4% when he had $500 saved for a family vacation.
what is unitary method ?The component technique is a technique of troubles where you first calculate the worth of a single item, then multiply a certain value to get the answer. Simply defined, a single product value is extracted from either a specified multiple using the one method. For contrast, 40 pens will costs you 400 rs, or $1.01. The method used to execute this might be regulated. a solitary nation. anything seems to have a distinctive component. (Classic Algebra, Quantitative Analysis, Math and science of Matrix or Operators).
given
1% of $500 = $5
Total Saving from $500 to $ 860
860 / 5 = 172
Now percentage of growth :-
172/500 *100
17200/500 = 34.4
Hence, the rate of change Sergio savings = 34.4%
Sergio saved at a rate of change of 34.4% when he had $500 saved for a family vacation.
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
Anita bought her phone one year ago for $400, and she wants to eventually sell it to help pay for an upgrade. She checked the manufacturer's website and found that her phone is currently valued at $308, and it will continue to depreciate each year.
Write an exponential equation in the form y - a(b)* that can model the value of Anita's phone, y, × years after purchase.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
Answer:
y= 400(0.77)^x
Step-by-step explanation:
The value decreases by 23% from,400 to 308 in 1 year. so if this continues then the equation would be y=400(0.77)^x.
The 0.77 comes from decaying 23%, meaning 1-0.23 = 0.77
this is just a quick addition to the good reply above by "varnanaik"
so she bought it for 400 bucks, but hell a year later went down to 308? Let's find the rate of depreciation
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill & \$ 308\\ P=\textit{initial amount}\dotfill &\$400\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases}[/tex]
[tex]308 = 400(1 - \frac{r}{100})^{1} \implies \cfrac{308}{400}=1-\cfrac{r}{100}\implies \cfrac{77}{100}=\cfrac{100-r}{100} \\\\\\ 77=100-r\implies r+77=100\implies r=\stackrel{ \% }{23} \\\\[-0.35em] ~\dotfill\\\\ A=400(1-\frac{23}{100})^x\implies A=400(1-0.23)^x\implies {\Large \begin{array}{llll} A=400(0.77)^x \end{array}}[/tex]
