If the trend continues, the population be after 15 years is 33236
If the tend continues, what will the population be after 15 years?From the question, we have the following parameters that can be used in our computation:
Initial value, a = 45000
Rate of change, r = 2%
The above is an illustration of an exponential function
When represented as an exponential function, we have
f(x) = a *(1 - r)^x
Where
x is the number of years
Substitute the known values in the above equation, so, we have the following representation
f(x) = 45000 *(1 - 2%)^x
In 15 years, we have
f(x) = 45000 *(1 - 2%)^15
Evaluate
f(x) = 33236
Hence, the population in 15 years is 33236
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There are 4 consecutive even integers that have a sum of 36. What is the least of the 4
integers?
Answer:
I believe the answer is 6
pls help my computers about to die lol
Answer:
Elapsed 10 hours and 50 minutes
Step-by-step explanation:
So it's 5:25 pm to 4:15 am.
It goes by 50 mins to get from 5:25 to 6:15.
Now the hours.
It has passed 10 hours to get 6:15 pm to 4;15 am.
Determine whether the events A and B are independent.
12 jurors are selected from a pool of 20
Event A: The first person selected has a birthday in May
Event B: The second person selected has a birthday in May
O No
O Yes
Answer:
Yes
Step-by-step explanation:
The events are completely independent of each other because the people were selected at random. There is no context provided that the second person's answer was influenced by the first person.
PLEASE HELP!!! WILL MARK BRAINLIEST!!
Answer:
A
Step-by-step explanation:
I’m pretty sure since you’ve taken a cube from the original cube and relocated it, that means is not part of the surface area anymore.
I could be wrong tho lol
Answer:
i think it is b
Step-by-step explanation:
Ms. Handcox took 36 of the 45 students to
Studio Movie Grill to celebrate the success
of beating Ms. Benjamin's class on the
CCA. Which decimal is equivalent to the
fraction of students who attended the
movies?
Answer:
0.8
Step-by-step explanation:
36/45
4/5
80/100
0.8
PNC Bank gives 0.5% interest on their savings accounts. An account has a balance of $1,500. What will the total balance be after 8 years? (Hint: what is the interest formula?)
Select all the correct answers.
A free-falling golf ball strikes the ground and exerts a force on it. Which sentences are true about this situation?
1. A golf ball striking the ground is a collision.
2.The ground exerts an equal force on the golf ball.
3.The ground doesn’t exert a force on the golf ball.
4.The force is zero because the golf ball has little mass.
Answer:
The ground exerts an equal force on the golf ball and a golf ball striking the ground is a collision
Step-by-step explanation:
Answer:
1. and 2.
Step-by-step explanation:
Which of the following is the Inverse of y = 3x?
a) f-1(x) = 1/3x b) f-1(x) = 3x c) f-1(x) = 3/x d) f-1(x) = x/3
The correct answer is d) f^(-1)(x) = x/3, as it represents the Inverse relationship of y = 3x.
To find the inverse of a function, we need to switch the roles of x and y and solve for the new y.
The given function is y = 3x.
To find its inverse, let's swap x and y:
x = 3y
Now, solve this equation for y:
Dividing both sides of the equation by 3, we get:
x/3 = y
Therefore, the inverse function of y = 3x is f^(-1)(x) = x/3.
Among the given options:
a) f^(-1)(x) = 1/3x
b) f^(-1)(x) = 3x
c) f^(-1)(x) = 3/x
d) f^(-1)(x) = x/3
The correct answer is d) f^(-1)(x) = x/3, as it represents the inverse relationship of y = 3x.
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Which expression is equivalent? 2x + 3 − 5x + 2 Question 1 options: -3x + 5 -3x +2 7x + 5 5x - 3 20POINTS!!!!!!
Answer:
-3x+5
Step-by-step explanation:
hope this was helpful ! <3
The radius of the wheel on a car is 20 inches. If the wheel is revolving at 346 revolutions per minute, what is the linear speed of the car in miles per hour? Round your answer to the nearest tenth. P
Answer:
131.9 mph
Step-by-step explanation:
First, let's compute the circumference of the wheel, as this gives us the distance the car travels in one revolution of the wheel.
The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. Given that the radius of the wheel is 20 inches, we can calculate the circumference as follows:
C = 2π * 20 inches = 40π inches
This is the distance the car travels in one revolution of the wheel.
Given that the wheel is making 346 revolutions per minute, the car is moving at a rate of 346 * 40π inches per minute. That's 13840π inches per minute.
Now let's convert this speed to miles per hour.
There are 12 inches in a foot and 5280 feet in a mile. So, there are 12 * 5280 = 63360 inches in a mile.
To convert inches per minute to miles per hour, we first convert inches to miles by dividing by 63360, then convert minutes to hours by multiplying by 60.
So the speed in miles per hour is (13840π / 63360) * 60 ≈ 131.9 mph.
Rounding to the nearest tenth, the linear speed of the car is approximately 131.9 mph.
Express 85mm as a percentage of 1metre
Answer:
Step-by-step explanation:
85/1000 because we said that 1 meter = 1000 mililiters
Divide both sides by 5 and then you have 17/200
then divide both sides by 2 (to get it over 100) =
8.5/100
.085%
Hope that helps!!
You could also just do 85/1000 you would get the same answer!!
The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value of
y in simplest form?
The required value of y for the unit circle is: 2/3
How to find the point on the unit circle ?The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).
The equation of the circle is given by:
(x - h)² + (y - k)² = r²
where:
h, k is the coordinate of the center of the circle on coordinate plane.
r is the radius of the circle.
Here,
Equation of the unit circle is given as,
x² + y² = 1
Now substitute the given value in the equation,
5/9 + y² = 1
y² = 1 - 5/9
y² = 4/ 9
y = √(4/9)
y = 2/3
Thus, the required value of y for the unit circle is 2/3
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Evaluate when x = 4 and
y = 8
x² + y
Answer:
Your answer is 24.
Step-by-step explanation:
4 to the second power is 4 times 4 when is 16 plus y, which is 8 gets you 24.
Answer:
24
Step-by-step explanation:
Substitute x for 4 and y for 8.
4^2=16
16+8=24
HELP!!!!!!!ASAP!!! I NEED TO SUBMIT! WILL GIVE 100 POINTS AND BRAINLIEST!!!!!!!!!!
A group of students was asked about the number of flights they have taken. The data is shown in the line plot. Which of the following best describes the spread of the data? Explain its meaning in this situation. The data has a range of 5, which is a wide spread. This means the greatest number of flights was 5. The data has a range of 15, which is a narrow spread. This means that there is not a large difference in the number of flights taken by the students. The data has a range of 5, which is a narrow spread. This means that most of the students have taken a similar number of flights. The data has a range of 15, which is a wide spread. This means that there is a difference of 15 flights between each of the students.
Answer:
In the case presented, the range is the difference between the maximum value and the minimum value of the data. The range describes the breadth of the data and how much they vary from the minimum value to the maximum value. Therefore, the range indicates the dispersion of the data.
The statement indicates that the range is 5, which means that the most flights made by students is 5. Since the data has a narrow dispersion, we can conclude that most students have taken a similar number of flights, implying that most students have flown an amount close to the maximum number observed.
Therefore, the option that best describes the dispersion of the data is: "The data has a range of 5, which is a narrow dispersion. This means that most students have taken a similar number of flights."
Step-by-step explanation:
Plant A Plant B Weeks Height (inches) Weeks Height (inches) 0 6 0 4 2 8 2 7 Part. To graph the two linear relationships, you need to know which variable is the independent variable, x, and which is the dependent variable, y. Of the two variables, weeks and height, which is the independent variable, and which is the dependent? Explain your answer.
The independent variable, x in this scenario is; weeks.
The dependent variable, y in this scenario is; height.
Which of the two variables is the dependent and which is the independent variable?It follows from the task content that the two variables which describe the growth model of the plants are; weeks and height.
Since, independent variable as the name implies is one whose values do not arrive from evaluation using other values, the independent variable in this scenario is; weeks.
However, by logic, the height of the plant is determined by the number of weeks and hence is dependent on the variable weeks. Therefore, the dependent variable is; height.
Ultimately, the independent and dependent variables are; weeks and height respectively.
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Una caja de ahorros ofrece a sus clientes un interés simple del 8% anual por una imposición de 18.000 € durante 5 años. ¿ Cual es el importe de los intereses
generados en ese tiempo €
Una caja de ahorros ofrece a sus clientes un interés simple del 8% anual por una imposición de 18.000 € durante 5 años. de los Interés es = 7,200 €
Interés = Principal × Tasa de interés × Tiempo
Dado que el principal es de 18.000 €, la tasa de interés es del 8% anual y el tiempo es de 5 años, podemos sustituir estos valores en la fórmula:
Interés = 18,000 € × 0.08 × 5
Interés = 7,200 €
Por lo tanto, el importe de los intereses generados en ese tiempo es de 7.200 €. Esto significa que al finalizar los 5 años, el cliente habrá obtenido 7.200 € adicionales como resultado de la imposición de 18.000 € con una tasa de interés del 8% anual. Es importante tener en cuenta que este cálculo se basa en la suposición de que el interés es simple y no se acumula ni se reinvierte.
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Brandy's candies paid $23 million in dividends during 1998, while also making net common stock repurchases of $27 million. what was the cash flow to stockholders for 1998?
The cash flow to stockholders for 1998 is -$4 million.
To calculate the cash flow to stockholders for 1998, follow these steps:
Identify the dividends paid: Brandy's Candies paid $23 million in dividends during 1998.
Determine the net common stock repurchases: Brandy's Candies made net common stock repurchases of $27 million during 1998.
Subtract the net common stock repurchases from the dividends paid: $23 million - $27 million = -$4 million.
The resulting cash flow to stockholders for 1998 is -$4 million, indicating a net outflow of cash from stockholders.
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Robert and Danielle go to Macys in the mall. Robert buys 4 marroon polos and 3 khaki pants. Danielle buys 6 marroon polos and 4 khaki pants. Robert spends $85. Danielle spends $120. Define two variables.
(example: x = cost of hat)
From the previous problem, set up an equation for Robert showing how much he spent.?
From the initial problem, set up an equation for Danielle showing how much she spent.?
Write both equations from questions 2 and 3. THAT IS YOUR SYSTEM OF EQUATIONS!!!?
In cell B23, find the required sample size to estimate the true proportion of satisfied customers within 3% margin of error, with 99% confidence. in excel??
To calculate the required sample size in Excel for estimating the true proportion of satisfied customers within a 3% margin of error with 99% confidence,
In Excel, you can use the NORM.S.INV function to find the critical value corresponding to the desired confidence level. In this case, we use 1 - (1-0.99)/2 to find the z-score for 99% confidence level.
We square this z-score and multiply it by (0.50.5)/(0.030.03), which represents the maximum variance under worst-case scenario and the desired margin of error. The CEILING function is used to round up the result to the nearest whole number since the sample size should be an integer.
you can use the formula =CEILING(MROUND((NORM.S.INV(1-(1-0.99)/2,0)^2)(0.50.5)/(0.03*0.03),1),1). The result will give you the minimum sample size needed for the desired confidence level and margin of error.
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HHHHHHEEEEEEELLLLLPPPPPP MEH!!! PLS ANSWER QUICKLY! Brainliest!! y is inversely proportional to square of x. Given that y=4 when x=3, find the value of y when x=5
Answer:
y = \(\frac{36}{25}\)
Step-by-step explanation:
y ∝ \(\frac{1}{x^2}\)
=> y = \(\frac{k}{x^2}\) --------------(1)
Now, y = 4 and x = 3.
Putting in (1)
=> 4 = \(\frac{k}{9}\)
=> k = 4*9
=> k = 36
Now, y = ?, when x = 5
Putting in (1)
=> y = \(\frac{36}{5^2}\)
=> y = \(\frac{36}{25}\)
please answer
4. Suppose that for 3MA Forecast, my Mean Absolute Deviation (MAD) is \( 3.0 \) and my Average Error (AE) is \( -2.0 \). Does my forecast fail the bias test? a. Yes b. No
The answer is: a. Yes, the forecast fails the bias test.
To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.
If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.
In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.
Therefore, the answer is:
a. Yes, the forecast fails the bias test.
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pls help this is due in 30 min
Thank you sm
What is the probability of choosing 3 or 4?
Answer:
1/2 because there are only 2 choices.
What's the slope??
Thank you!!! :)))
Answer:
The slope of this line is 4Step-by-step explanation:
The slope is determined with two points.
Take the pairs (0, - 9) and (1, - 5).
The slope is:
m = (y₂ - y₁) / (x₂ - x₁) = (- 5 - (-9)) / ( 1 - 0) = 4/1 = 4Answer:
Slope = 4
Step-by-step explanation:
Formula we use,
→ Slope = (y2 - y1)/(x2 - x1)
Then required slope will be,
→ (y2 - y1)/(x2 - x1)
→ (-5 -(-9))/(1 - 0)
→ (-5 + 9)/(1 - 0)
→ 4/1 = 4
Therefore, the slope is 4.
Work out x^2- 2x
when x =4
Answer:
8
Step-by-step explanation:
\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)
r +19= -30 help plz
solve for s if -2=4r+2
Answer:
\(\boxed {s = -2 - 4r}\)
Step-by-step explanation:
Solve for \(s\):
\(-2 = 4r + s\)
-Switch sides:
\(-2 = 4r + s\)
\(4r + s = -2\)
-Subtract \(4r\) to both sides:
\(4r - 4r + s = -2 - 4r\)
\(\boxed {s = -2 - 4r}\)
Find the area of triangle XYZ if length XY equals 7 and length XZ equals 4.3. You also
know that angle Y equals 79°.
Answer:
A ≈ 14.8 units²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )
where x is the side opposite ∠ X and z the side opposite ∠ Z
here y = XZ = 4.3 and z = XY = 7 , then
A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°
= 15.05 × sin79°
≈ 14.8 units² ( to 1 decimal place )
it is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations.
Yes, it is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations when performing certain statistical tests, such as an Analysis of Variance (ANOVA) or a two-sample t-test.
These assumptions are important for the validity and accuracy of the test results.
Step-by-step explanation:
1. Equal population means: This assumption ensures that any observed differences between the sample means are due to random variation, not a systematic difference between the populations.
2. Positive standard deviations: This assumption ensures that the variability within each population is accurately represented and helps to determine the appropriate test statistic and critical value for the hypothesis test.
By making these assumptions, you can conduct statistical tests with greater confidence in the results, as they are based on sound principles of statistical theory.
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kattie and matt are both flying kites on a breezy day. the string of katies kite is extended 864 feet, and her kite makes a 38 angle of elevation with the ground. the string of matt's kite is extended 725 feet, and his kite makes a 40 angle of elevation with the ground. Whose kite is flying higher in the sky
Answer:
Kattie's kite is flying higherStep-by-step explanation:
Let the height of each kite be h.
The h is opposite to angle of elevation and the sting length is hypotenuse of the formed triangle.
Kattie's kite:
h/864 = sin 38°h = 864 sin 38°h = 532 ft (rounded)Matt's kite:
h/725 = sin 40°h = 725 sin 40°h = 466 ft (rounded)Kattie's kite is flying higher as 532 ft > 466 ft