Aisha buys a new car.
Cash price: $4500
Credit terms:
Deposit 25% of cash price + 12 monthly payments of $320
She buys the car using the credit terms. How much more than the cash price will she pay overall for the car?
Answers
465 is the cost of the cash price will she pay overall for the car.
What is cost ?
The entire cost of all fixed and variable expenses for a particular stage in the value chain is the total cost of a business function. In other words, it is the overall cost incurred during the various stages a product goes through to reach the consumer.Your cost function might resemble this, for example, if your variable costs for labor are fixed regardless of quantity while your variable costs for supplies vary depending on the amount of each item. Total costs are calculated as fixed costs plus labor costs plus (unit count * material variable costs).25 % of cash price 4500 × 25% = 1125
12 monthly 320 × 12 = 3840
All 1125 + 3840 = 4965
more than 4965 - 4500 = 465
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Related Questions
A sample of size 50 is to be taken from an infinite population whose mean and standard deviation are 52 and 20, respectively. The probability that the sample mean will be larger than 49 is: Group of answer choices
Answers
The probability that the sample mean will be larger than 49 can be calculated using the standard normal distribution.
Since we know the population mean and standard deviation, we can use the central limit theorem to assume that the distribution of sample means is normal with a mean of 52 and a standard deviation of 20/√50) = 2.83.
To find the probability that the sample mean will be larger than 49, we can standardize the distribution using the z-score formula:
z = (sample mean - population mean) / (standard deviation / √(sample size))
z = (49 - 52) / (20/√(50)) = -1.77
Using a standard normal distribution table or calculator, we can find that the probability of z being less than -1.77 is approximately 0.0384.
Therefore, the probability that the sample mean will be larger than 49 is:
1 - 0.0384 = 0.9616
or 96.16%.
Calculation:
z = (49 - 52) / (20/√50)) = -1.77
Probability of z being less than -1.77 = 0.0384
Probability of sample mean being larger than 49 = 1 - 0.0384 = 0.9616 or 96.16%.
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Simplify the fraction 8
20
Answers
Answer:
2/5
Step-by-step explanation:
Graph the systems of equations.
Answers
Answer:
Step-by-step explanation:
3 units, 2units, 2 units the area of the figure square units
Answers
Answer:
12
Step-by-step explanation:
im taking the test jjiiiuy teñido itself
(1 point) Determine whether each first-order differential equation is separable, linear, both, or neither.
1. dy/dx + exy = x2y2
2. y+ ex *sinx = x3 y'
3. ln x - x2y = xy'
4. dy/dx + cos y = tan x
Expert
Answers
Out of the given differential equations, only equation 3 is separable, and equation 4 is linear. The rest are nonlinear and neither separable nor linear.
The first-order differential equation dy/dx + exy = x2y2 is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term x2y2 in the equation makes it nonlinear, and the term exy makes it non-separable.
The differential equation y + ex * sin(x) = x3y' is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term ex * sin(x) and the term y' (derivative of y) make it nonlinear, and the term y makes it non-separable.
The differential equation ln(x) - x2y = xy' is separable but not linear. The terms ln(x) and x2y make it nonlinear, but it can be separated into two parts, one containing x and y and the other containing x and y'. Therefore, it is separable.
The differential equation dy/dx + cos(y) = tan(x) is linear but not separable. The terms cos(y) and tan(x) make it nonlinear, but it can be written in the form dy/dx + P(x)y = Q(x), where P(x) = cos(y) and Q(x) = tan(x). Therefore, it is a linear differential equation.
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If a scientific team uses special equipment to measures the pressure under water and finds it to be 159 pounds per square foot, at what depth is the team making their measurements
Answers
When a scientific team uses special equipment to measures the pressure under water and finds it to be 159 pounds per square foot, the depth is around 70 feet.
It's important to note that pressure increases as depth increases under water. The pressure in pounds per square foot, P, at a depth of d feet is given by the equation:
P = 0.433d + 14.7 where 0.433 is a constant for water, and 14.7 is the pressure at the surface.
In order to find the depth at which the pressure is 159 pounds per square foot, we need to solve the equation for
d.P = 0.433d + 14.7
Substitute P = 159 and solve for
d.159 = 0.433d + 14.7
Subtract 14.7 from both sides.
144.3 = 0.433d
Divide both sides by 0.433 to isolate d.
d ≈ 333.06
Hence, when a scientific team uses special equipment to measures the pressure under water and finds it to be 159 pounds per square foot, the depth is around 70 feet.
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the times (in minutes) that several underwriters took to review applications for similar insurance coverage are 100, 110, 42, and 45. what is the median length of time required to review an application? group of answer choices 87.00 73.75 72.50 76.00
Answers
Median length of time required to review an application = (45 + 100)/2= 72.50 Hence, the correct option is A, 72.50
Given times (in minutes) that several underwriters took to review applications for similar insurance coverage are 100, 110, 42, and 45 and we need to find the median length of time required to review an application.What is the median?The median is the middle value when a data set is ordered from least to greatest.To find the median of a data set, the first step is to write the data set in order from least to greatest. In the above given dataset,Let's first order these numbers from least to greatest;42, 45, 100, 110 Now we can see the median will be between 45 and 100, so we just need to find the mean of these two numbers. the correct option is A
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12) A function f(x) = x² is given. Answer the following question for the function i) What is the algebraic nature of the function? ii) Write the name of the locus of the curve. iii) Write the vertex of the function. iv) Write any one property for sketching the curve. v) Write the domain of the function.
Answers
Given that f(x) is the square of x, there are no negative values in its range, which ranges from 0 to.
What is the algebraic nature of the function?The answer to a polynomial equation with polynomial coefficients is a function, and that function is an algebraic function.
Linear, quadratic, cubic, polynomial, rational, and radical algebraic functions are some examples of the several types of algebraic functions.
The range of the function f(x) = x2 is higher than or equal to zero, and the domain of the function is the set of all real numbers (x can be anything).
A function that represents an upward-facing parabola is f(x) = x2.
Its range from - to - is its domain.
Given that f(x) is the square of x, there are no negative values in its range, which ranges from 0 to.
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Explore all similar answers
a professor gives a special tutoring session to students who scored less than 60 percent on the first test. on the second test, their mean score rises to 70 percent. what conclusion can we draw, if any, and why?
Answers
We can conclude that the special tutoring session seems to have had a positive impact on the students' performance, as their mean score increased from below 60% to 70%.
Determine the conclusionWe can conclude that the special tutoring session has been effective since the students' mean score increased from 60 percent to 70 percent on the second test.
The students who scored less than 60 percent on the first test were given a special tutoring session, which resulted in their mean score increasing to 70 percent on the second test.
Therefore, we can conclude that the special tutoring session has been effective in improving the students' performance on the second test.
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Three coffees and two muffins cost a total of 7 dollars. Two coffees and four muffins cost a total of 8 dollars. What is the individual price for a single coffee and a single muffin?
Answers
wAnswer:
e
Step-by-step explanation:
At the youth center, the committee has decided to create a circular shaped flower bed. They plan to cover the flower bed with mulch. A flower bed with a 12' diameter will cost $150 to cover with mulch. A flower bed with an 18' diameter will cost $300 to cover. Which is the better value?
Answers
Answer:
12 in diameter bed will give better value
Step-by-step explanation:
Given:
Cost of cover 12 in diameter bed = $150
Cost of cover 18 in diameter bed = $300
Find:
Better value
Computation:
Area of bed = πr²
Area of 12 diameter of bed = (22/7)(6)²
Area of 12 diameter of bed = 113.14 in²
Area of 18 diameter of bed = (22/7)(9)²
Area of 18 diameter of bed = 113.14 in²
Area of 18 diameter of bed = 254.57 in²
Compare cost of bed 1 = 113.14 / 150 = 0.75 in per dollar
Compare cost of bed 2 = 254.57 / 300 = 0.84 in per dollar
So,
12 in diameter bed will give better value
6. A lighting fixture manufacturer has daily production costs of c=0.25n²-10n+800, where C is the total
daily cost in dollars and n is the number of light fixtures produced.
a) Is the manufacturer's cost increasing or decreasing when they produce between 10 and 15 light fixtures?
Prove your claim with math. (2 pts)
b) Is the manufacturer's cost increasing or decreasing when they produce between 20 and 25 light fixtures?
Prove your claim with math. (2 pts)
Answers
By finding the average rate of change, we can see that:
a) The cost decreases.
b) The cost increases.
How to know when the cost is increasing or decreasing?
To check that, we need to find the average rate of change on the interval.
Remember that for function f(x) on an interval (a, b), the average rate of change is:
R = (f(b) - f(a))/(b - a)
Here the cost function is:
c(n) = 0.25*n² - 10n + 800
a) In the interval [10, 15] the average rate of change is given by:
R = (c(15) - c(10)/(15 - 10)
Where:
c(15) = 0.25*15^2 - 10*15 + 800 = 706.25
c(10) = 0.25*10^2 - 10*10 + 800 = 725
Then the average rate of change is:
R = (706.25 - 725)/(15 - 10) = -3.75
This means that between 10 and 15 light fixtures, the cost is decreasing.
b) Now we have the interval [20, 25], so let's do the same ting:
c(20) = 0.25*20^2 - 10*20 + 800 = 700
c(25) = 0.25*25^2 - 10*25 + 800 = 706.25
Here the average rate of change is:
R = (706.25 - 700)/(25 - 20) = 1.25
It is positive, which means that the cost is increasing.
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in testing a hypothesis from a random sample involving three or more means, the appropriate test would be a one-way anova. True or false?
Answers
When testing a hypothesis involving three or more means, the appropriate test is a one-way ANOVA (Analysis of Variance). ANOVA is a statistical method that compares the means of two or more groups to determine if there is a significant difference between them. In the case of a one-way ANOVA, we are comparing the means of one variable across multiple groups or categories.
The one-way ANOVA test allows us to determine if the differences between the means of the groups are significant enough to reject the null hypothesis, which states that there is no significant difference between the means. If the p-value obtained from the ANOVA test is less than the chosen level of significance, we reject the null hypothesis and conclude that there is a significant difference between at least two of the means.
Let X be an exponential random variable with a given parameter λ. Show (mathematically) that for any nonnegative t1, t2 the following expression is true: P(Xt1) = P(X
(Hint: use the standard formulas for exponential distribution and conditional probability.) This fact is often referred to as the "lack of memory" property of the exponential distribution. Give an
example of a practical interpretation of this fact.
Answers
we have shown mathematically that for any nonnegative values t1 and t2, P(X > t1 + t2 | X > t1) = P(X > t2), which demonstrates the "lack of memory" property of the exponential distribution.
To prove the "lack of memory" property of the exponential distribution, we need to show that for any nonnegative values t1 and t2, the following expression is true:
P(X > t1 + t2 | X > t1) = P(X > t2)
Let's start by using the definition of conditional probability:
P(A | B) = P(A ∩ B) / P(B)
In this case, we have A: X > t1 + t2 and B: X > t1. We want to find P(A | B), which is the probability that X is greater than t1 + t2 given that it is greater than t1.
We can rewrite the conditional probability as:
P(X > t1 + t2 | X > t1) = P(X > t1 + t2 and X > t1) / P(X > t1)
Since X is a continuous random variable, we can express these probabilities using the cumulative distribution function (CDF) of the exponential distribution.
P(X > t1 + t2 | X > t1) = [1 - F(t1 + t2)] / [1 - F(t1)]
where F(t) is the CDF of the exponential distribution with parameter λ.
The CDF of the exponential distribution is given by:
F(t) = 1 - e^(-λt)
Substituting this into the equation, we have:
P(X > t1 + t2 | X > t1) = [1 - (1 - e^(-λ(t1 + t2)))] / [1 - (1 - e^(-λt1))]
Simplifying, we get:
P(X > t1 + t2 | X > t1) = e^(-λ(t1 + t2)) / e^(-λt1)
Using the properties of exponents, we can rewrite this as:
P(X > t1 + t2 | X > t1) = e^(-λt2)
which is equivalent to:
P(X > t2)
Practical interpretation:
The "lack of memory" property of the exponential distribution means that the distribution does not remember its past. In practical terms, it implies that the probability of an event occurring after a certain amount of time does not depend on how much time has already passed. For example, if X represents the time until a light bulb fails, and X follows an exponential distribution, then the probability that the light bulb will fail in the next hour is the same regardless of how long the light bulb has already been in use.
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If x be a normal random variable with parameters μ = 3 and σ2 = 9, find (a) p(2 < x < 5); (b) p(x > 0); (c) p(|x-3|) >6).
Answers
The value of normal random variable is
a. p(2 < x < 5) ≈ 0.5478
b. p(x > 0) ≈ 0.8413
c. p(|x - 3| > 6) ≈ 0.0456
What is probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
To solve these problems, we need to use the properties of the standard normal distribution since we are given the mean (μ = 3) and variance (σ² = 9) of the normal random variable x.
(a) To find p(2 < x < 5), we need to calculate the probability that x falls between 2 and 5. We can standardize the values using z-scores and then use the standard normal distribution table or a calculator to find the probabilities.
First, we calculate the z-score for 2:
z1 = (2 - μ) / σ = (2 - 3) / 3 = -1/3.
Next, we calculate the z-score for 5:
z2 = (5 - μ) / σ = (5 - 3) / 3 = 2/3.
Using the standard normal distribution table or a calculator, we find the corresponding probabilities:
p(-1/3 < z < 2/3) ≈ 0.5478.
Therefore, p(2 < x < 5) ≈ 0.5478.
(b) To find p(x > 0), we need to calculate the probability that x is greater than 0. We can directly calculate the z-score for 0 and find the corresponding probability.
The z-score for 0 is:
z = (0 - μ) / σ = (0 - 3) / 3 = -1.
Using the standard normal distribution table or a calculator, we find the corresponding probability:
p(z > -1) ≈ 0.8413.
Therefore, p(x > 0) ≈ 0.8413.
(c) To find p(|x - 3| > 6), we need to calculate the probability that the absolute difference between x and 3 is greater than 6. We can rephrase this as p(x < 3 - 6) or p(x > 3 + 6) and calculate the probabilities separately.
For x < -3:
z = (-3 - μ) / σ = (-3 - 3) / 3 = -2.
Using the standard normal distribution table or a calculator, we find the probability:
p(z < -2) ≈ 0.0228.
For x > 9:
z = (9 - μ) / σ = (9 - 3) / 3 = 2.
Using the standard normal distribution table or a calculator, we find the probability:
p(z > 2) ≈ 0.0228.
Since we are considering the tail probabilities, we need to account for both sides:
p(|x - 3| > 6) = p(x < -3 or x > 9) = p(x < -3) + p(x > 9) = 0.0228 + 0.0228 = 0.0456.
Therefore, p(|x - 3| > 6) ≈ 0.0456.
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HELP ASAP WILL MARK BRAINLIEST
Answers
Jonah is attending a school orchestra concert. He sees his math teacher seated 6 meters ahead of him and his science teacher seated 7 meters to his right. How far apart are the two teachers? If necessary, round to the nearest tenth.
Answers
Answer:
42 meters
Step-by-step explanation:
if his math teacher is 6 meters ahead of him and his science teacher is 7 meters to the right of him than you multiply to get the area of distance from each other.
6 x 7 = 42
the teachers are 42 area meters away from each other
please neatly/quickly will like. please dont copy from
replicated questions on chegg, I have seen them
a a = 1. Given a system modeled by a differential equation y + 3y + 2y = 21 +u, find the transfer function U(S) Y(S)
Answers
The transfer function U(s)/Y(s) for the given system modeled by the differential equation y'' + 3y' + 2y = 21 + u is 1/(s^2 + 3s + 2).
To find the transfer function U(S)/Y(S) for the given system modeled by the differential equation y'' + 3y' + 2y = 21 + u, we need to take the Laplace transform of both sides of the equation.
Taking the Laplace transform, and assuming zero initial conditions:
s^2Y(s) + 3sY(s) + 2Y(s) = 21 + U(s)
Now, let's rearrange the equation to solve for Y(s):
Y(s)(s^2 + 3s + 2) = 21 + U(s)
Dividing both sides by (s^2 + 3s + 2):
Y(s) = (21 + U(s))/(s^2 + 3s + 2)
Therefore, the transfer function U(s)/Y(s) is:
U(s)/Y(s) = 1/(s^2 + 3s + 2)
The transfer function U(s)/Y(s) for the given system modeled by the differential equation y'' + 3y' + 2y = 21 + u is 1/(s^2 + 3s + 2).
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The product of b and 3 is greater than or equal to -30.
Answers
Answer:
greater than
Step-by-step explanation:
positive is higher than negative
what kind of stretches should i do cause i am a dancer
Answers
Answer:
Try your legs a lot do some do triceps cause like if you dont do streteches your body will hurt a lot
Step-by-step explanation:
5-(-1-2)^2 or to the power of two
And |x/x+y|-x^2+y (x=2 y=-3)
Answers
The values of the expressions are
5 - (-1 - 2)^2 = -4|x/x+y| - x^2 + y = -5How to determine the value of the expressionExpression 1
5-(-1 - 2)^2
Evaluate the difference in the expression
So, we have
5 - (-1 - 2)^2 = 5 - (-3)^2
Evaluate the exponent in the expression
So, we have
5 - (-1 - 2)^2 = 5 - 9
Evaluate the difference in the expression
So, we have
5 - (-1 - 2)^2 = -4
Expression 2
|x/x+y| - x^2 + y
When x = 2 and y = -3
Substitute x = 2 and y = -3 in |x/x+y| - x^2 + y
So, we have
|x/x+y| - x^2 + y = |2/2 - 3| - 2^2 - 3
Evaluate the difference in the expression
So, we have
|x/x+y| - x^2 + y = |2/-1| - 2^2 - 3
Evaluate the quotient and the exponent in the expression
So, we have
|x/x+y| - x^2 + y = |-2| - 4 - 3
Remove the absolute bracket
|x/x+y| - x^2 + y = 2 - 4 - 3
Evaluate the difference in the expression
So, we have
|x/x+y| - x^2 + y = -5
Hence, the solutions to the expressions are -4 and -5
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help me pleasee, my brain won't work
Answers
The given fractions have equal value, so Liam is correct.
How to find the equivalent fractions?Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.
Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.
Thus, we can say that:
The fraction -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.
The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient
The fractions have equal value, so Liam is correct
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i need alot of help in this
Answers
Not the best way to do it, but it should look something like this.
Think about a plan you're looking for a after school job one pays 9$ per hour another pays 12$ per hours but you need to buy a uniform that costs 38$ after how many hours of your net earnings from either job be the same
Answers
Answer:
so first you do 38-12 and youd get 26 then you have to work 3 hours to get $36 thn you would have to work 4 hours to get $36 if you get $9 an hour.
Step-by-step explanation:
Mitch puts $500.00 into an account to use for school expenses. The account earns 12% interest,
compounded annually. How much will be in the account after 8 years? Round your answer to
the nearest cent.
pls hurry it’s for a math test
Answers
Answer:
there will be 20 dollars
Step-by-step explanation:
500 multiplied by .12 and then timesed by 8 then subtracted by 500
find the product of (x+2y)^2
Answers
Answer:
x^2 + 4xy + 4y^2
Step-by-step explanation:
hope this helps
Answer:
x² + 4xy + 4y²
Step-by-step explanation:
(x + 2y)²
= (x + 2y)(x + 2y)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 2y) + 2y(x + 2y) ← distribute parenthesis
= x² + 2xy + 2xy + 4y² ← collect like terms
= x² + 4xy + 4y²
You are the director of the customer service center in Company Alpha. You find that the mean time between calls to the center is 6 minutes with standard deviation of 4 minutes. The effective response time is 11 minutes with a standard deviation of 20 minutes. (a) Identify the following parameters: ta
tθ
∂a
∂θ
ra:
rθ:
Answers
The identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
ta: Mean time between calls to the center
tθ: Effective response time
∂a: Standard deviation of the time between calls to the center
∂θ: Standard deviation of the effective response time
ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)
rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)
Given information:
Mean time between calls to the center (ta) = 6 minutes
Standard deviation of time between calls (∂a) = 4 minutes
Effective response time (tθ) = 11 minutes
Standard deviation of effective response time (∂θ) = 20 minutes
Using this information, we can determine the values of the parameters:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/ta = 1/6 minutes^(-1)
rθ = 1/tθ = 1/11 minutes^(-1)
So, the identified parameters are:
ta = 6 minutes
tθ = 11 minutes
∂a = 4 minutes
∂θ = 20 minutes
ra = 1/6 minutes^(-1)
rθ = 1/11 minutes^(-1)
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Justine found 6 feet of a string which can make 8 bracelets. If each bracelet was the same length, how long was each bracelet? Enter your answer in the box in the simplest form.
Answers
Answer: 3/4 feet
Step-by-step explanation:
There are 6 feet for 8 bracelets, so we can do 6/8 = 3/4 feet
Each year Wenford Hospital records how long patients wait to be treated in the Accident
and Emergency department.
In 2015 patients waited 11% less time than in 2014.
In 2015 the average time patients waited was 68 minutes.
(a) Work out the average time patients waited in 2014.
Give your answer to the nearest minute.
Answers
The average time patients waited in 2014 was approximately 76 minutes, calculated by dividing the 2015 waiting time by 0.89 as patients waited 11% less time in 2015.
Let's call the average time patients waited in 2014 as per Wenford Hospital records "x" (in minutes). According to the problem statement, patients waited 11% less time in 2015 compared to 2014, so,
0.89x = 68
Solving for x,
x = 68 / 0.89
x ≈ 76.4
Therefore, the average time patients waited in 2014 was approximately 76 minutes (rounded to the nearest minute).
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I really really really need the answer for this please help me please!!!
Answers
Answer:
61 c
Step-by-step explanation:
Circumference= 2πr = πd=3.14d
25 c, d = 24.3 mm ⇒ C=24.3*3.14 = 76.30210 c, d = 17.9 mm ⇒ C=17.9*3.14 = 56.2065 c, d = 21.2 mm ⇒ C=21.2*3.14 = 66.5681 c, d = 19.1 mm ⇒ C=19.1*3.14 = 59.9741*10 c+ 2*25 c+ 1*1 c = 61 c