27. the value of a certain car can be modeled by the function
y = 18000(0.76)', where t is time in years. will the value of the function ever be 0?
Answers
The function given is y = 18000(0.76)^t, where y represents the value of the car and t represents the time in years.
This is an exponential decay function, meaning that the value of the car decreases over time. To determine if the value of the function will ever be 0, we would need to find if there exists a time t when y = 0. Let's analyze the function:
0 = 18000(0.76)^t
In an exponential decay function, the base (0.76 in this case) is between 0 and 1, so as time (t) increases, (0.76)^t will approach 0, but it will never actually reach 0. Thus, the value of the car will keep decreasing over time but will never be exactly 0.
In summary, the value of the function, which represents the car's value, will never be 0, but it will get infinitely close to 0 as time progresses. This is a characteristic of exponential decay functions, where the value never reaches 0 but approaches it as time goes on.
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Related Questions
A company manufactures water bottles the list below describes the number of water bottles manufactured in three months
.February 4,100 water bottles
. March 7% more water bottles than in February
.April: 500 more water bottles than in march
what is the percent increase to the nearest percent in the number of water bottles the company manufactured from February to April?
Answers
Answer:
19%
Step-by-step explanation:
First, find how many water bottles were manufactured in March:
4,100 x 1.07 = 4387
Add 500 to the March number
4387 + 500= 4887
Then divide the April number by February
4887/4100= 1.19195
This means that there is a 19 percent increase of water bottles manufactured from February to April
Alicia is 9 years old. In 12 years’ time, her aunt will be twice as old as Alicia. Find her aunt’s present age
Answers
Answer:
her aunt’s present age 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
9+12=21
21*2=42
42-12=30
suppose the number of hours of sleep students get per night has a unimodal and symmetric distribution with a mean of 7 hours and a standard deviation of 1.5 hours. approximately what percent of students sleep more than 8.5 hours per night?
Answers
Approximately 34% of people sleep more than 8.5 hours per night.
According to the Empirical Rule states for a normally distributed random variable: 68% of the measures are within 1 standard deviation of the mean, 95% of the measures are within 2 standard deviations of the mean and 99.7% of the measures are within 3 standard deviations of the mean. According to the question, Mean = 7 and Standard deviation = 1.5. Also, in the question the normal distribution is symmetric, which means that 50% of the measures are below the mean and the rest 50% are above the mean. Now, the mean is 7 and 8.5 is 1 one standard deviation above the mean. So, by the Empirical Rule, of the 50% of the measures that are above the mean, 68% are within 1 standard deviation of the mean (more than 8.5 hours). So, we get
0.5*0.68 = 0.34 which is equal to 34%.
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Please hurry! I will give the right answer brainliest! Complete the inequalities.
1. (-1/9)(3/5) __ -2/15
2. (-3/8)/(-2 3/4) __ 3/22
1.
=
2.
=
Sorry if this is too much!
Answers
Answer:
1 is >
2 is >
I think this is right, you may need to confirm this
19 percent of the employees at a large biotech firm are working from home. [you may find it useful to reference the z table.] a. in a sample of 40 employees, what is the probability that more than 18% of them are working from home?
Answers
The probability of more than 18% of a sample of 40 employees at a large biotech firm working from home is 0.2628 or 26.28%.
To calculate the probability, we can use the normal distribution and the z-score formula: z =\((x - μ) / (σ / sqrt(n))\) where x is the sample proportion (in decimal form),\(μ\) is the population proportion (in decimal form), \(σ\) is the population standard deviation (in decimal form), and n is the sample size.
Given that, 19% of the employees at the biotech firm are working from home, we can assume that the population proportion is 0.19. The population standard deviation is not given, so we can use the formula: \(σ = sqrt(p(1-p))\) where p is the population proportion. Plugging in the values, we get: \(σ = sqrt(0.19(1-0.19)) = 0.3929\) Now, we can plug in the values to find the z-score: z = (0.18 - 0.19) / (0.3929 / sqrt(40)) = -0.7606
Using a z-table, we can find the probability that a z-score is less than -0.7606, which is 0.2234. To find the probability that more than 18% of the sample is working from home, we subtract this probability from 1: P(x > 0.18) = 1 - P(x <= 0.18) = 1 - 0.2234 = 0.7766.
Hence, the probability of more than 18% of a sample of 40 employees at the biotech firm working from home is 0.7766 or 77.66%.
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A child whose height is at the 95th percentile and whose weight is at the 25th percentile is likely to be ___________.
Answers
A child whose height is at the 95th percentile and whose weight is at the 25th percentile is likely to be tall and thin.
A child whose height is at the 95th percentile and whose weight is at the 25th percentile is likely to be tall and relatively slim.
The 95th percentile for height means the child is taller than 95% of children their age, while the 25th percentile for weight means they weigh more than 25% but less than 75% of children their age, indicating a lower weight compared to their height.
These percentiles are calculated based on growth charts, which take into account age and gender to determine typical ranges of height and weight for children.
Based on this information, we can conclude that the child is likely to be tall and relatively thin compared to other children of the same age and gender. However, it's important to keep in mind that percentiles are only one way of describing a child's growth and development, and that every child is unique.
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At East Middle School, 25% of the 60 students Mrs. White teaches buy their lunches in the cafeteria. How many students purchase their lunch in the cafeteria?
Answers
Answer:
15
Step-by-step explanation:
Whenever you see 25% of something, divide the original number by four. Because 25x4=100, you can use this equation. 25% of something is always your original number divided by four. In this case, the original number is 60. 60 divided by four is 15.
The temperature at 6:00p.m. was 7 degrees Celsius. The temperature dropped 2 degrees every hour. What was the temperature at 11:00 p.m.
Answers
Answer:
7 Celsius to Fahrenheit is 44.6.
There is a five hour gap.
The tempature drops two degrees per hour. So, multiply.
2 x 5 = 10.
Subtract 10 from 44.6.
You get 34.6.
34.6 is the answer.
5000000
bi 5000
Section B
1. Factorise the following numbers and e
32 b) 81 128 dj 243
Express the following numbers as the
Answers
Make's absolutely no sense. Please rephrase this as a question.
find the inverse laplace transform
H(s)= 40(s+200) / s^2+400s+6290000
Answers
Therefore, the inverse Laplace transform of the potential function \(\( H(s) \) is:\( h(t) = 20e^{(-200 + 3090i)t} + 20e^{(-200 - 3090i)t} \)\)
Step 1: Factorize the denominator of \(\( H(s) \):The denominator \( s^2 + 400s + 6290000 \)\) cannot be factored further, so we move to the next step.
Step 2: Express\(\( H(s) \) using partial fractions:\( H(s) = \frac{A}{s - s_1} + \frac{B}{s - s_2} \)\)
To find A and B, we need to solve for the values of s_1 and s_2, which are the roots of the denominator equation \(\( s^2 + 400s + 6290000 = 0 \)\).
Using the quadratic formula, we find that the roots are complex:\(\( s_1 = -200 + 3090i \) and \( s_2 = -200 - 3090i \).\)
Step 3: Substitute the values of s_1 and s_2 into the partial fraction decomposition:
\(\( H(s) = \frac{A}{s - (-200 + 3090i)} + \frac{B}{s - (-200 - 3090i)} \)\)
Step 4: Find the values of A and B:
We multiply both sides of the equation by the denominator to eliminate the fractions and then substitute the values of s_1 and s_2:
\(\( 40(s+200) = A(s - (-200 - 3090i)) + B(s - (-200 + 3090i)) \)\)
Simplifying the equation, we get:
\(\( 40s + 8000 = As + A(-200 + 3090i) + Bs + B(-200 - 3090i) \)\)
Matching the coefficients of like terms, we get the following system of equations:
\(\( A + B = 40 \)\( A(-200 + 3090i) + B(-200 - 3090i) = 8000 \)\)
Solving this system of equations, we find that A = 20 and B = 20.
Step 5: Write the partial fraction decomposition:
\(\( H(s) = \frac{20}{s - (-200 + 3090i)} + \frac{20}{s - (-200 - 3090i)} \)\)
Step 6: Find the inverse Laplace transform using lookup tables:
The inverse Laplace transform of each term can be looked up in the Laplace transform table. The inverse Laplace transform of \(\( \frac{20}{s - (-200 + 3090i)} \) is \( 20e^{(-200 + 3090i)t} \), and the inverse Laplace transform of \( \frac{20}{s - (-200 - 3090i)} \) is \( 20e^{(-200 - 3090i)t} \).\)
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how to determine the maximum and minimum of a function
Answers
To determine the maximum and minimum of a function, you need to find the critical points and endpoints, evaluate the function at these points, and compare the values.
The highest value represents the maximum, while the lowest value represents the minimum.
To determine the maximum and minimum of a function, follow these steps:
Find the critical points of the function by finding where its derivative equals zero or is undefined.
Determine the endpoints of the interval you are considering, if applicable.
Analyze the function at its starting and ending locations.
The highest value represents the maximum, and the lowest value represents the minimum.
Let's consider an example using the function f(x) = x^2 - 4x + 3 over the interval [0, 5].
Find the critical points:
Take the derivative of the function: f'(x) = 2x - 4.
Set the derivative equal to zero: 2x - 4 = 0.
Solve for x: 2x = 4,
x = 2.
The critical point is x = 2.
Determine the endpoints:
In this case, the endpoints of the interval are x = 0 and x = 5.
Evaluate the function:
Calculate f(0) = (0)^2 - 4(0) + 3
= 3.
Calculate f(2) = (2)^2 - 4(2) + 3
= -1.
Calculate f(5) = (5)^2 - 4(5) + 3
= -7.
Determine the maximum and minimum:
The highest value is 3, which occurs at x = 0. Therefore, the maximum value is 3.
The lowest value is -7, which occurs at x = 5. Therefore, the minimum value is -7.
To determine the maximum and minimum of a function, you need to find the critical points and endpoints, evaluate the function at these points, and compare the values. The highest value represents the maximum, while the lowest value represents the minimum. It is important to consider the given interval to ensure that the maximum and minimum values are within the specified range.
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please help fast! ........................................................................
Answers
Answer: no i need this too :(
Step-by-step explanation:
Question 2 of 5
Which inequality is true?
A. 9/3 pi > 1
B. 9 pi > 27
C. Pi +7<10
D. Pi - 3> 1
Answers
A turtle traveled
1/10 miles in 1/2 hour. What was the turtle's rate in miles per hour?
A: 1/20
B: 1/12
C: 1/6
D: 1/5
Answers
The turtle's rate in miles per hour is 1/5 miles/hr.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a turtle traveled 1/10 miles in 1/2 hour.
Rate is defined as the distance travelled in a unit hour {1 hour}.{R} = x/t.We can write the rate as -
{R} = (1/10)/(1/2)
{R} = (1/10) x 2
{R} = 1/5 miles/hr
Therefore, the turtle's rate in miles per hour is 1/5 miles/hr.
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suppose we want to test whether there is a difference between the room rates of luxury hotels in new york versus los angeles. we collect data from 20 random luxury hotels in new york and 30 random luxury hotels in l.a. what are the degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval? type your answer here
Answers
The degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval in the given case would be 48.
When a pooled-variance two-sample t-test or confidence interval is to be conducted on two groups, the degrees of freedom is calculated using the following formula: df = n1 + n2 - 2, where n1 and n2 are the sample sizes of the two groups being compared.
In the given scenario, data is collected from 20 random luxury hotels in New York and 30 random luxury hotels in Los Angeles. Therefore, the degrees of freedom for a pooled-variance two-sample t-test or confidence interval would be:df = 20 + 30 - 2df = 48. Hence, the degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval are 48.
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Find the quotient and write the answer in simplest form 2 4/3 ÷1 8/7 =
Answers
first off let's convert the mixed fractions to improper fractions and then divide.
\(\stackrel{mixed}{2\frac{4}{3}}\implies \cfrac{2\cdot 3+4}{3}\implies \stackrel{improper}{\cfrac{10}{3}} ~\hfill \stackrel{mixed}{1\frac{8}{7}}\implies \cfrac{1\cdot 7+8}{7}\implies \stackrel{improper}{\cfrac{15}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{10}{3}\div \cfrac{15}{7}\implies \cfrac{10}{3}\cdot \cfrac{7}{15}\implies \cfrac{10}{15}\cdot \cfrac{7}{3}\implies \cfrac{2}{3}\cdot \cfrac{7}{3}\implies \cfrac{14}{9}\implies 1\frac{5}{9}\)
Bella is going back to school shopping and her favorite store is having a sale. She sees there are 4 packages of 15 tops for $18 and 5 packages of 10 tops for $16 which is the better deal? How do you know
Answers
Answer:
The 4 packages of 15 tops for $18 is a better deal
Step-by-step explanation:
We can see which set of tops have the lowest unit price.
4 packages of 15 tops for $18:
4*15=60
There is a total of 60 tops for $18, which means each top costs 18/60 dollars, or $0.30.
5 packages of 10 tops for $16
5*10=50
There is a total of 50 tops for $16, which means that each top costs 16/50 dollars, or $0.32.
0.32>0.3
The 4 packages of 15 tops for $18 is a better deal :)
Have a great day
The length and width of a rectangle, in terms of x, are x + 3 and 2x − 17, respectively. The area of the rectangle is 234 square units. (a) (6 points) DETERMINE the possible values of x
Answers
The possible values of x of a rectangle with length and width of x + 3 and 2x - 17 respectively is 15
Area of a rectangle
area of a rectangle = lw
where
l =lengthw = widthTherefore,
length = x + 3
width = 2x - 17
area = 234
Therefore,
234 = (x + 3)(2x - 17)
2x² - 17x + 6x - 51 = 234
2x² - 11x - 51 - 234 = 0
2x² - 11x - 285 = 0
Therefore,
(x - 15)(2x + 19)
Hence,
x = 15 or x = - 19 / 2
we can only use positive values. Therefore, x = 15
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HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answers
Answer:
85% of 19 = 16.15
Step-by-step explanation:
the grid shows the layout of jan's neighborhood . each unit on the grid represent 1.5 miles. Help
Answers
Answer:
Where's the grid?
Step-by-step explanation:
Your cousin renews his apartment lease and pays a new monthly rent. His new rent is calculated by applying a discount of $50 to his original rent and then applying a 10% increase to the discounted amount. What was your cousin's original monthly rent when his new rent is 5% greater?
Your cousin's original rent was $ ________
Answers
Answer:
$1100Step-by-step explanation:
Let the rent be x
Discounted rent
x - $50Increase applied
10%Final rent:
(x - 50) + 10% = (x - 50)*1.1We know this is equal to x + 5% = 1.05x, comparing now
1.1(x - 50) = 1.05x1.1x - 1.05x = 550.05x = 55x = 55/0.05x = $1100Answer:
\(\Large \boxed{\sf 1100}\)
Step-by-step explanation:
Let original rent be x
Discount of $50
\(x-50\)
10% increase
\((x-50) \times 1.1\)
His new rent is 5% greater than his original rent
\((x-50) \times 1.1 = 1.05x\)
Solve for x
\(x=1100\)
Solve this algebraic expression:
5x-2(3x)
Answers
5x - 6x
-1x
Answer:
-x
Step-by-step explanation:
Simplifying
5x + 2 = 3x
Reorder the terms:
2 + 5x = 3x
Solving
2 + 5x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
2 + 5x + -3x = 3x + -3x
Combine like terms: 5x + -3x = 2x
2 + 2x = 3x + -3x
Combine like terms: 3x + -3x = 0
2 + 2x = 0
Add '-2' to each side of the equation.
2 + -2 + 2x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + 2x = 0 + -2
2x = 0 + -2
Combine like terms: 0 + -2 = -2
2x = -2
Divide each side by '2'.
x = -1
Simplifying
x = -1
= -x
I hope this helped, please mark Brainliest, thank you!! =)
I have stopped going to school due to my mental break downs because of school so my teachers started sending me my work i have missed but the only thing i was not at school to learn how to do it so please help me....!!
Answers
Answer:
1. C.
2. A.
3. B.
i just know those im sorry-
Answer:
1 - c 6.4 ×10^6
2 - a 6.4 ×10
3- b 6.04 ×10^5
4) 5.21× 10^8 × 1.6km
=8.33×10^8 km
5) 10,000,000,000 = 1 ×10^10
BRAINLIST PLS
What is the length of the radius of a circle with a center at the origin and a point on the circle at 8 + 15i? 15 17.
Answers
The length of radius from the center is 17cm
What is radius?
The radius of a circle is the distance between the center of the circle to its circumference. The radius is exactly half of the diameter. The formula of the radius can be simply derived by dividing the diameter of the circle by two.
Given, the point from the center is 8+15i
The two points are (0,0) and (8,15)
The formula to find radius is
r = \(\sqrt{(x_2^2-x_1^2)+(y_2^2-y_1^2)}\)
Therefore,
r = \(\sqrt{64+225} =\sqrt{289}\)
r = 17
Therefore, radius =17
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The diameter of a circle is 22 centimeters. What is the circle's circumference
Use 3.14 for .
centimeters
Answers
The circumference of the given circle for a given problem is 69.08 cm.
Here, from the given data
The diameter of a circle = 22cm.
the pie value = 3.14.
we know the formula for calculating the circumference of a circle in terms of diameter is C = πd.....(i)
where π is 3.14 and
d= 22cm ( diameter of the circle)
where C is the circumference of the circle as per the formula.
by substituting the values of d and π in equation (i)
(i) implies
C = πd
C = 3.14 x 22
C = 69.08cm.
In this manner, the circumference of the circle for a given issue is roughly 69.08 centimeters.
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What is the answer a,b,c or d?
Answers
Answer:
.6
Step-by-step explanation:
Tangent means opposite side divided by adjacent side
tan B = AC /BC
tan B = 9 / 15
tan B = .6
i dont know how to do this stuff
im choosing brainliest
Answers
Answer:
5 - 15 = -10
Step-by-step explanation:
Answer:
5 - 15 = -10
Step-by-step explanation:
If you start with 5 and then subtract 15, you end up at -10.
35-2x4 to the 2 power
Answers
Answer:
I belive the answer is 3.
Step-by-step explanation:
35-2x4^2
35-2x16
35-32
3
Answer:
\(1225-140x^4+4x^8\)
Step-by-step explanation:
(35-2x^4)^2 is a form of \((a-b)^2=a^2+b^2-2ab\)
Applying this formula, we get 1225+4x^8-140x^4
His is a question need answering
Answers
Answer:it’s wrong if so then 5 would’ve been in c’s place
Step-by-step explanation:
A gardener is planting two types of trees: Type A is 10 feet tall and grows at a rate of 7 inches per year. Type B is 3 feet tall and grows at a rate of 19 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.
Answers
Answer:
7 years
Step-by-step explanation:
First, create expressions to represent the problem:
\(a(x) = 10(12) + 7x \\ b(x) = 3(12) + 19x\)
Simplify:
\(a(x) = 120 + 7x \\ b(x) = 36 + 19x\)
Now make the expressions equal to each other and solve:
\(120 + 7x = 36 + 19x \\ 84 = 12x \\ x = 7\)
The answer is 7 years