Answer:
Exponential; $376.32
Step-by-step explanation:
Generally, an increase of 12% in a month means the prices are 12% more than they were in the previous month. That is, the value has been multiplied by 1.12.
The same would be true for the second month, so the overall multiplier for the two months is ...
(1.12)(1.12) = 1.12^2 = 1.2544
This makes the food bill for the second month amount to ...
1.2544 × $300 = $376.32
_____
As with all percentages, you need to be clear about what base is being used. Here, we have assumed the base for a monthly increase is the value at the beginning of the month.
If, instead, it is the value at the beginning of the year, then the increase is linear, not exponential. 12% of the value at the beginning of the year is the same throughout the year.
please help, there is a picture
The answer us c I took that test too
Step-by-step explanation:
C
Answer:
y= 15/x
Step-by-step explanation:
help please
Find the area of a regular hexagon with an apothem 8.7 centimeters long and a side 10 centimeters long. Round your answer to the nearest tenth.
Answer:196.65
Step-by-step explanation:
Round 6475.13 to the nearest ten
To find:
Round 6475.13 to the nearest ten.
Solution:
The unit digit of the number is 5 and the tens digit is 7.
When rounding up the tens digit, it will become 8 and the unit digit will be zero.
So, the number is 6480.
Find the expected value E(X) of the following data. Round your answer to one decimal place.[x/2/3/4/5/6][P(X=x)/0.2/0.1/0.2/0.1/0.4]
The expected value of the random variable E(X) of the the data will be equal to 4.0.
The expected value of a random variable X is given by the formula:
E(X) = ∑x * P(X = x)
where ∑ denotes the sum over all possible values of x.
In this case, the possible values of x are 2, 3, 4, 5, and 6, and the corresponding probabilities are 0.2, 0.1, 0.2, 0.1, and 0.4, respectively. Plugging these values into the formula, we get:
E(X) = (2 * 0.2) + (3 * 0.1) + (4 * 0.2) + (5 * 0.1) + (6 * 0.4)
= 0.4 + 0.3 + 0.8 + 0.5 + 2.4
= 4.0
Rounding to one decimal place, the expected value of X is 4.0.
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Trading cards come in a pack of 12 card. Chris bought 300 cards. How many packs did he buy?
Answer:
25
Step-by-step explanation:
300 divided by 12 equals 25
During the 2008 - 2009 financial crisis, the GDP of the USA reduced from $14.72 trillion in 2008 to $14.42 trillion in 2009. What is the percentage change between these two years? around your answer to the nearest hundredth of a percent.
The percentage change in GDP is 2.04%
Percentage ChangePercentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.
The formula of percentage change is given as
Percentage change =[ (New increase - old value) / old value] * 100
Percentage change = [(14.72 - 14.42) / 14.72] * 100
Percentage change = 2.04%
In this case, there is a percentage decrease of 2.04%
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Which of the following functions will represent $500 placed
into a mutual fund yielding 10% per year for 4 years.
• A = 500(.10)^4
• A = 500(1.1)^4
• A = 500(4)(.10)
• A = 500(1.04)^10
Answer:
the answer is the first one
Step-by-step explanation:
The functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is A = 500(1.1)^4
what is Compound Interest?In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.
given:
P= $500
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 500.00\((1 + 0.1/1)(1)^4\)
A = 500.00\((1.1)^4\)
A = $732.05
Hence, the functions will represent $500 placed into a mutual fund yielding 10% per year for 4 years is A = 500(1.1)^4
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7 cm
rom
This quarter circle has a radius of 7 centimeters.
What is the area of this figure?
Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer
to the nearest hundredth
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Area of quarter = 1/4 × Area of whole circle
that is ~
\( \sf \dfrac{1}{4} \times \pi {r}^{2} \)\( \sf \dfrac{1}{4} \times 3.14 \times 7 \times 7\)\( \sf \dfrac{153.86}{4} \)\( \sf \approx38.46 \: \: cm {}^{2} \)
please help i will mark brainlist
Answer:196.8
Step-by-step explanation:brainlyest plz plz I need it for my rank
Support for character vector or string inputs will be removed in a future release. Instead, use syms to declare variables and replace inputs such as dsolve('Dy = -3*y') with syms y(t); dsolve(diff(y,t) == -3*y).
The support vector of the input dsolve('Dy = -3*y') is "dsolve(diff(y,t) == -3*y)".
A symbol is a mathematical object that represents a mathematical entity, such as a number, a variable, or a function. In mathematical software, symbols are used to represent variables, which can be used in mathematical expressions to perform computations.
In the past, character vectors or strings were used to represent symbols in certain mathematical software programs.
In the future release of this software, support for character vectors or strings will be removed. Instead, the program will require users to use the "syms" function to declare variables as symbols.
As an example of how this might be used in practice, consider the differential equation
=> "dy/dt = -3y".
In the past, this equation might have been entered into a mathematical software program using a character vector or string to represent the variable "y".
However, in the future release of this software, the user will need to use the "syms" function to declare "y" as a symbol. The equation would then be entered using the "diff" function, like this:
=> "dsolve(diff(y,t) == -3*y)".
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K A hot-air balloon is rising vertically. The angle of elevation from a point on level ground 126 feet from the balloon to a point directly under the passenger compartment changes from 19.3 deg to 32.3 deg How far, to the nearest tenth of a foot, does the balloon rise during this period?
The increase in height (rise) of the balloon is \(35.53 feet\)
What is Pythagorean Theorem?
Pythagoras' theorem states that "the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides."
The angle of elevation is generated by the intersection of the horizontal line and the line of sight. If the line of sight is directed upward from the horizontal line, the resulting angle is an angle of elevation.
According to the given information:
Given that,
Initial angle of elevation = \(19.3^{0}\).
Final angle of elevation = \(32.3^{0}\).
Distance = \(126 feet\).
How to calculate the height (rise).
In order to determine the increase in height (rise) of the balloon, we would apply Pythagorean Theorem. Mathematically, this is given by this formula:
tan∅ = \(\frac{height}{adj}\)
height = adjacent \(*\) tan∅
At an initial angle of elevation:
height \(=126* tan 19.3^{0} \\= 126 * 0.3501\\= 44.11 feet\)
At a final angle of elevation:
height \(=126* tan 32.3^{0} \\= 126* 0.6321\\= 79.64 feet\)
For the change in height:
Δh \(= 79.64-44.11\\=35.53 feet\)
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which is true regarding the sequence below?
5,2,-3,-10,-19
Answer: Its going down by odd numbers
Step-by-step explanation:
5-2=3, 2-(-3)= 5, then it would go on 7, 9, 11, 13...
Answer:
The difference between the numbers does not follow a common pattern; hence, the sequence is not arithmetic.
Step-by-step explanation:
Let's take the 1st two digits, 5 and 2
The difference between the numbers, 5-2 = 3
Following this pattern,
2-(-3) = 5
-3-(-10) = 7 and,
-10-(-19) = 9.
We can see that the differences are 3, 5, 7 and 9 and therefore we can prove that there is no common difference between the numbers.
Hence the sequence does not follow an arithmetic pattern as there is no common difference
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A couple is starting a family and decides to have four children. Assume that the probability of having a boy or having a girl are equal. Find the probability model for the number of girls the couple has
Consequently, the probability of producing precisely one girl or exactly one male 0.25 + 0.25 = 0.5P(x = 1) = 4C1 * 0.5^1 * 0.5^3; 0.9375 ; 0.5
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.
Due to this:
p = 0.5
Modeling the probability of how many females the couple has:
\(P(x =x) is equal to nCx * px * (1 - p) (n - x)\\P(x = 0) = 4C0 * 0.5^0 * 0.5^4 = 0.0625\\\=P(x = 1) = 4C1 * 0.5^1 * 0.5^3 = 0.25\\P(x = 2) = 4C2 * 0.5^2 * 0.5^2 = 0.375\\P(x = 3) = 4C3 * 0.5^3 * 0.5^1 = 0.25\\P(x = 4) = 4C4 * 0.5^4 * 0.5^0 = 0.0625\)
likelihood of having at least one female
N = 4 trials in total.
P(x 1) is equal to p(x = 1) plus p(x = 2) plus p(x = 3) plus p(x = 4)
Employing the relation
P(x =x) is equal to nCx * px * (1 - p) (n - x)
use a calculator
P(x ≥ 1) = 0.9375
Chances of getting just one female or exactly one boy
3 females OR 3 boys OR 1 boy
P(x = 1)
P(x =x) is equal to nCx * px * (1 - p) (n - x)
P(x = 1) = 4 * 0.5 * 0.125
P(x = 1) = 0.25
The likelihood of getting one girl and three males or vice versa is 0.25
Consequently, the likelihood of producing precisely one girl or exactly one male
0.25 + 0.25 = 0.5P(x = 1) = 4C1 * 0.5^1 * 0.5^3 is 0.9375 ; 0.5
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Given f(x) = 1/2 (3 - x) ^ 2, what is the value of f(15)?
If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.
The given function is:
f(x) = 1/2 (3 - x)²
To find the value of f(15), we need to substitute 15 for x in the function:
f(15) = 1/2 (3 - 15)²
Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:
f(15) = 1/2 (144)
f(15) = 72
Therefore, the value of f(15) is 72.
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High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam Students who score in the top 26 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly
recognized?
Using the normal distribution, it is found that a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The top 26% of the scores are given by scores above the 74th percentile, which corresponds to Z = 0.6433, hence, a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
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Terrence walks at a pace of 2 mi/h to the theater and watches a movie for 2 h and 15 min. He rides back home, taking the same route, on the bus that travels at a rate of 40 mi/h. The entire trip takes 3.5 h. How far along this route is Terrence’s house from the theater? Explain.
Answer:
2.2 miles
Step-by-step explanation:
3 hours and 30 minutes minus 2 hours and 15 minutes is 1 hour and 15 minutes. 2/40 gives you 0.05. 1.15 - 0.05 gives you 1 hour and 10 minutes and multiply that by 2 and it gives you 2.2 miles.
The distance between Terrence’s house from the theater will be 2.4 miles.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Distance is defined as the length between the two points.
Let us suppose the following parameters to get the distance.
D = distance of Terrence’s house from the theater
v₁ = speed at which Terrence walks from home to the theater = 2 mi/h
t₁ = time taken by Terrence to walk from home to the theater = D/v₁ = D/2
v₂ = speed at which Terrence returns back to home = 40 mi/h
t₂ = time taken by Terrence to return back to home = D/v₂ = D/40
t' = time spent in watching the movie = 2 h 15 min = 2.25 h
t = total time = 3.5 h
The distance will be calculated as given below:-
t = t₁ + t₂ + t'
3.5 = (D/2) + (D/40) + 2.25
D = 2.4 miles
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This is due in like a hour please help!
Answer:
i think the fourth one is equvilent ratio
Step-by-step explanation:
Please help asap !!!!
C
Step-by-step explanation:
You do 5 - 2 = 3 and -y = -x so the answer would be C.
The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test (SAT) in a particular year had a mean of 490 and a standard deviation of 100. The distribution of SAT scores is bell-shaped.
What percentage of seniors scored between 390 and 590 on this SAT test?
Answer:
The value is \(P( 390 < X < 590) = 68.3 \%\)
Step-by-step explanation:
From the question we are told that
The mean is \(\mu = 490\)
The standard deviation is \(\sigma = 100\)
Generally the proportion of seniors scored between 390 and 590 on this SAT test is mathematically represented as
\(P( 390 < X < 590) = P( \frac{390 - 490 }{100} < \frac{\= x - \mu }{\sigma} < \frac{590 - 490 }{ 100} )\)
\(\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )\)
\(P( 390 < X < 590) = P( -1 < Z < 1 )\)
=> \(P( 390 < X < 590) = P(Z< 1 ) - P(Z < - 1 )\)
From the z table the area under the normal curve to the left corresponding to 1 and -1 is
\(P(Z< 1 ) = 0.84134\)
and
\(P(Z< - 1 ) = 0.15866\)
\(P( 390 < X < 590) =0.84134 - 0.15866\)
=> \(P( 390 < X < 590) = 0.6827\)
Generally the percentage of seniors scored between 390 and 590 on this SAT test is mathematically represented as
=> \(P( 390 < X < 590) = 0.6827 *100\)
=> \(P( 390 < X < 590) = 68.3 \%\)
HURRY AND ANSWER AS FAST AS YOU CAN!!! PLEASE I NEED THESE BY TODAY The length of a rectangle is (2x - 7)inches and the width is (x2 - 5) inches. Find an expression for the perimeter of the rectangle. A) 2x3 + 35B) x2 - 2x + 2X) x2 + 2x - 12 D) 2 x 2 + 4x -24 The sum of −15x2 −5x + 11 and another polynomial expression is −9x2 + 3x −10. What is the other polynomial expression? A) 24x2 + 8x − 8 B) 6x2 + 8x − 21 C) − 24x2 + 8x + 8 D) − 24x2 + 8x − 8
Answer:
Q1.
Perimeter = 2(Length + Width)
Perimeter = \(2((2x-7)+(x^2-5))\)
\(2\left(2x-7\right)+2\left(x^2-5\right)\)
\(4x-14+2x^2-10\)
\(2x^2+4x-24\)
Q2.
\((-9x^2+3x-10)-(-15x^2-5x+11)\)
\(-9x^2+3x-10+15x^2+5x-11\)
\(6x^2+8x-21\)
can you help me understand to identify. the common ratio
If each square represents one unit, that means the numbers from left to right are respresented by the total number of squares.
Therefore, the first one represents
\(\begin{gathered} 9\times12\text{ squares} \\ 108\text{ squares (108 units).} \\ \text{Therefore, the numbers in the geometric sequence are;} \\ 108,36,12,4 \\ \text{The common ratio is derived as the current term divided by the previous term} \\ \text{Therefore;} \\ r=\frac{36}{108}=\frac{12}{36}=\frac{4}{12} \\ r=\frac{1}{3} \end{gathered}\)The common ratio (which is r) equals 1/3
GUYS PLEASE HELP ME!!!
you get 100 points for answering this!
Alex paid $6 for renting a movie for 3 days. Which graph shows the relationship between the costs of renting a movie for different days? (3 points)
A graph is shown with title Movie Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars. Points are plotted on the ordered pairs 1, 1, and 2, 2, and 3, 3.
A graph is shown with title Movie Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of rental in dollars. Points are plotted on the ordered pairs 1, 3 and 2, 5, and 3, 7.
A graph is shown with title Movie Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of rental in dollars. Points are plotted on the ordered pairs 1, 2 and 2, 4, and 3, 6
A graph is shown with title Movie Rentals. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars. Points are plotted on the ordered pairs 2, 1 and 4, 2, and 6, 3.
Answer:
Step-by-step explanation:
This is clearly a linear relationship. If Alex rented the movie for 0 days, he'd owe nothing. If he paid $6 for a 3-day rental, the slope of this line would be m = rise / run = $6/(3 days) = $2/day, which is positive.
Then the equation for this graph is C(x) = ($2/day)x, where x is the number of days for which the movie is rented.
Using this formula, we find three particular points on the graph:
(1, $2), (2, $4), (3, ($6)
Answer:
I think the first one
Step-by-step explanation:
can you add a picture ?
also there is no graph so dont report me if im wrong
What is a satellite country?
Answer:
A satellite state is a country that is formally independent in the world, but under heavy political, economic and military influence or control from another country.
What is the probability that the group of stores will have a restaurant or a hardware store or both?
Answer:
2/3
Step-by-step explanation:
There are 4 possible outcomes that include a restaurant, a hardware store, or both. There are 6 possible store combinations (Possibilities = 1 grocery × 3 for the second store × 2 for the third store = 6). So the probability of having a group of stores with a restaurant or a hardware store is:
4/6 = 2/3
Please help!
What is the length of x?
What is the length of EF?
If you score a 99, what percentage of the population scored above you?
Answer:
1%
Step-by-step explanation:
Answer:
1% pf the population scored above you
Step-by-step explanation:
make brainliest
WXYZ is a trapezoid with mid-segment TR. find the length of TR
Trapezoid have 4 length side lines
Now find proportions
Find height of trapezoid
Divide trapezoid in 1 rectangle and 2 triangles
Then , the 2 triangles have a base of (23-15)/2 = 4
Then height is 4 x WZ x sin 56
Angle Z = (180-56-90) + 90 = 124 degrees
Angle X = 360-124- 56 - 121= 59 degrees
Now look at line 23
Then WZ• cos56 + 15 + XY• cos 59 = 23
Now if both angles Z and Y were similar ,then
TR would be (WX + ZY )/2, because T divides half WZ
BUT theyre not similar, theres a little difference . Then find this difference
Use formula cos (a+b) = cosa• cosb- sina•sinb
then
cos 59 = cos56• cos3 - sin56•sin3
aproximate cos3= 1 , sin3=0
then WZ• cos56 + XY•cos 56 + 15 = 23
(WZ + XY)•(cos56) = 23-15= 8:
(WZ + XY) = 8/(cos56) = 14.285
(WZ + XY)/2 =7.1428
then TZ = 7.1428/2 =3.5714
Finally TR = 15 + 2•TZ cos 56 = 18.994
Able, ben and cal each played a game.
able scored six times bens score.
cal scored a third of able's score. write down the ratio of able's score to ben;s score to cal's score
Answer:
Ratio of Able's score to Ben=6:1
Ratio of Ben's score to Cal's=1:2
Ratio of able's score to ben;s score to cal's score=6:1:2
Step-by-step explanation:
Let Ben's score =x
Able scored six times Ben's score
Able=6*x
=6x
Cal scored a third of Able's score
Cal=1/3 of 6x
=1/3(6x)
Ratio of Able's score to Ben
6x:x
=6:1
Ratio of Ben's score to Cal's score
x:1/3(6x)
=x:6x/3
=x:2x
=1:2
Ratio of able's score to ben;s score to cal's score=6:1:2
In the “Lucky Chances” lottery a box has 100 balls. 60 balls are marked “Good.” 40 balls are marked, “Bad.” To play this lottery, you draw a ball at random and look at the message. You play this lottery every day. What happens over the course of 500 plays?
Answer:
Lucky Chances” lottery a box has 100 balls. 60 balls are marked “Good.” 40 balls are marked, “Bad.” To play this lottery, you draw a ball at random and look
Over the course of 500 plays, you can expect to draw a "Good" ball 300 times.
Over the course of 500 plays, you can expect to draw a "Bad" ball 200 times.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The probability of drawing a "Good" ball is 60/100 or 0.6.
The probability of drawing a "Bad" ball is 40/100 or 0.4.
We can use these probabilities to determine what will happen over the course of 500 plays:
On average, you can expect to draw a "Good" ball 0.6 times for every play. So over the course of 500 plays, you can expect to draw a "Good" ball 0.6 x 500 = 300 times.
On average, you can expect to draw a "Bad" ball 0.4 times for every play. So over the course of 500 plays, you can expect to draw a "Bad" ball 0.4 x 500 = 200 times.
Note that these are expected values based on the probabilities, and there is no guarantee that you will actually draw exactly 300 "Good" balls and 200 "Bad" balls.
However, over a large number of plays, the actual results should approach these expected values.
Thus,
Over the course of 500 plays, you can expect to draw a "Good" ball 0.6 x 500 = 300 times.
Over the course of 500 plays, you can expect to draw a "Bad" ball 0.4 x 500 = 200 times.
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What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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