Brandon purchased a new guitar in 2012. The value of his guitar, t years after he bought it, can be modeled by the function A(t)=145(0.95)t.
Drag and drop the answer to the boxes below to complete the sentence.
145, 0.95
a decrease of, an increase of
5%, 45%, 95%
The rate of change in the value of the guitar is modeled by _____, which represents _____________ ______ per year.
Answers
Answer: The rate of change in the value of the guitar is modeled by 0.95, which represents a decrease of 5% per year.
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential decay function:
A = P (1 - r) t
Where:
p = original price
r = decrease rate (decimal form)
t= years
A = price after t years
Replacing with the values given:
A(t)=145(0.95)t.
Where
0.95 = 1-r
0.95-1 = r
-0.05 =-r
0.05 =r
Converting to percentage form:
0.05 x 100 = 5%
Feel free to ask for more if needed or if you did not understand something.
Related Questions
The sampling interval is calculated by dividing the digital sampling frequency by?
Answers
The sampling interval is calculated by dividing the digital sampling frequency by the number of samples taken per second.
The sampling interval refers to the time interval between each consecutive sample in a digital signal. It is determined by dividing the digital sampling frequency by the number of samples taken per second. The sampling frequency represents the number of samples captured in one second, while the number of samples per second represents the rate at which the samples are taken. By dividing the sampling frequency by the number of samples per second, we can determine the time interval between each sample.
This is crucial in accurately representing and reconstructing the original analog signal from the digital samples. Therefore, the sampling interval is calculated by dividing the digital sampling frequency by the number of samples taken per second.
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What is the exterior angle sum of a 500-gon
Answers
Answer:
360° 32 I belive?
( Brainlyst will help me rank up! Thanks! )
(7a – 6) + 3.- 8a – (-2a +5).
Answers
Answer:
a - 8
Explanation:
7a−6+3−8a−(−2a+5)
Distribute the Negative Sign:
=7a−6+3−8a+−1(−2a+5)
=7a+−6+3+−8a+−1(−2a)+(−1)(5)
=7a+−6+3+−8a+2a+−5
Combine Like Terms:
=7a+−6+3+−8a+2a+−5
=(7a+−8a+2a)+(−6+3+−5)
=a + −8
Answer:
= a − 8
Complete the PrintVals function to print each array element on a separate line. void PrintVals(int arrayVals[], int numElements) { int i; for (i = 0; i < ; ++i) { cout << arrayVals[i] << endl; Show answer } Check
Answers
Hi! I'd be happy to help you complete the PrintVals function. Here's the corrected code:
```cpp
void PrintVals(int arrayVals[], int numElements) {
int i;
for (i = 0; i < numElements; ++i) {
cout << arrayVals[i] << endl;
}
}
```
I've added "numElements" in the loop condition to ensure that it iterates through all the elements in the array.
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What is the slope of the line on the graph?
Answers
What is the answer a or b to this question
Answers
Explanation:
If they enter with one car, that’s a price of $3 for the car alone. Because there’s also a fee for each person who enters, and there is a family of 5 who enters, x is representative of the cost for each person who enters. Therefore, there would be 5 x’s and one 3 that when solved would add up to the total of $45 they spent. That would mean A is correct because the equation would be x + x + x + x + x + 3 = 45.
9. The regression line ŷ = 3 + 2x has been estimated using the data points (x,y): (4,8), (2,5), and (1,2). The residual sum of squares is: a. 10 b. 15 C. 13 d. 22 e. none of the above
Answers
The residual sum of Squares (RSS) is 22. Thus, the correct option is d. 22.
To calculate the residual sum of squares (RSS), we need to find the difference between the actual y-values and the predicted y-values (based on the regression line), square those differences, and sum them up.
Given the regression line ŷ = 3 + 2x, we can substitute the x-values from the data points to calculate the predicted y-values. Let's calculate the predicted y-values for each data point:
For the data point (4,8):
ŷ = 3 + 2(4) = 3 + 8 = 11
For the data point (2,5):
ŷ = 3 + 2(2) = 3 + 4 = 7
For the data point (1,2):
ŷ = 3 + 2(1) = 3 + 2 = 5
Now we can calculate the differences between the actual y-values and the predicted y-values:
For the data point (4,8):
Residual = 8 - 11 = -3
For the data point (2,5):
Residual = 5 - 7 = -2
For the data point (1,2):
Residual = 2 - 5 = -3
Next, we square each of the residuals:
(-3)^2 = 9
(-2)^2 = 4
(-3)^2 = 9
Finally, we sum up the squared residuals:
RSS = 9 + 4 + 9 = 22
Therefore, the residual sum of squares (RSS) is 22. Thus, the correct option is d. 22.
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I need help
Solving this problem
Answers
The required value of x is 22 degrees for the given figure.
Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.
As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:
According to the given figure, it can be written as follows:
2x + 24 + 6x - 20 = 180
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Therefore, the required value of x is 22 degrees for the given figure.
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The complete question is as follows:
Find the value of x for the below figure.
How’d do you simplify it?
Answers
Answer:
The answer is
\(8 \sqrt{3} \: {m}^{2} \)Step-by-step explanation:
\( \sqrt{192 {m}^{4} } \)First of all factor out the perfect square
From the question the perfect square is 64
We have
\( \sqrt{64 \times 3 {m}^{4} } \)The root of a product is equal to the product of the roots of each factor
So we have
\( \sqrt{64 \times {3m}^{4} } = \sqrt{64} \times \sqrt{3} \times \sqrt{ {m}^{4} } \\ \)Simplify
\( \sqrt{64} = 8 \\ \sqrt{ {m}^{4} } = {m}^{2} \)So we have
\(8 \times \sqrt{3} \times {m}^{2} \)We have the final answer as
\(8 \sqrt{3} \: {m}^{2} \)Hope this helps you
pls answer. On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses the y-axis at (0, 2) and the x-axis at (2, 0). What is the range of the function on the graph? all real numbers all real numbers less than or equal to –1 all real numbers less than or equal to 3 all real numbers less than or equal to 0
Answers
Range: All real numbers greater than or equal to 3. The Option C.
What is the range of the function on the graph formed by the line?To find the range of the function, we need to determine the set of all possible y-values that the function takes.
Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.
Therefore, the range of the function is all real numbers greater than or equal to 3.
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if gas cost $3.00 per gallon, what factors will determine how much gas you purchase?
Answers
Answer:
If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.
Hope this helps!
The mean caffeine content per cup of regular coffee served at a certain coffee shop is supposed to be 100 milligrams. A test is made of H0: μ 100 versus H1 : μ 100. The null hypothesis is rejected. State an appropriate conclusion.
Answers
The null hypothesis, which states that the mean caffeine content per cup of regular coffee is 100 milligrams, has been rejected. Hence, an appropriate conclusion would be made based on the rejection of the null hypothesis.
The rejection of the null hypothesis implies that there is sufficient evidence to support an alternative hypothesis. In this case, the alternative hypothesis is μ ≠ 100, which suggests that the mean caffeine content per cup of regular coffee is not equal to 100 milligrams. The rejection of the null hypothesis indicates that the observed data deviates significantly from the expected mean of 100 milligrams.
Therefore, based on the rejection of the null hypothesis, we can conclude that there is evidence to suggest that the mean caffeine content per cup of regular coffee served at the coffee shop is different from 100 milligrams. Further analysis or investigation may be required to determine the actual value of the mean caffeine content and understand the implications of this difference on the coffee shop's products and customer satisfaction.
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in the manufacture of a phone charging device , the cost of producing the device varies inversely as the number produced . if 10,000 units are produced the cost is $2 per unit find the cost per unit to produce 25,000 units.
Answers
When 10,000 units are produced, the cost per unit is $2. We need to find the cost per unit when 25,000 units are produced.
In this problem, we are dealing with inverse variation, which means that as the number of units produced increases, the cost per unit decreases, and vice versa. Let's denote the cost per unit as C and the number of units produced as N.
According to the problem, when 10,000 units are produced, the cost per unit is $2. We can express this as the equation C = k/N, where k is the constant of variation. Substituting the given values, we have 2 = k/10,000.
To find the cost per unit when 25,000 units are produced, we set up a proportion using the equation C = k/N:
2 = k/10,000
C = k/25,000
Cross-multiplying the proportion, we get:
2 * 25,000 = k * 10,000
Simplifying, we find:
50,000 = 10,000k
Dividing both sides by 10,000, we find k = 5.
Now, we can substitute this value of k into the equation C = k/N to find the cost per unit when 25,000 units are produced:
C = 5/25,000
C = $0.0002
Therefore, the cost per unit to produce 25,000 units is $0.0002.
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Find an equation of the vertical line through (- 1/8, 4/3)
The equation of the line is
(Type an equation. Use integers or fractions for any numbers in the equation.)
Answers
Answer:
\(x=-1/8\)
Step-by-step explanation:
Since this is a vertical line, our x-value stays constant no matter what y is.
So, the x is constant while the y changes.
Therefore, the equation of our vertical line will simply be the x-value of our coordinate point.
Our point is (-1/8, 4/3).
The coordinate is -1/8.
Therefore, our equation is:
\(x=-1/8\)
And we're done!
jackson usually makes $250 per week working at a grocery store. Last week he made 60% more than usual. This week Jackson hopes to make 7/8 of what he made last week. how much money does jackson hope to make this week?
Answers
Answer: 350
250×.60=150
250+150= 400
7÷8= 0.875
0.875×400=350
I hope this is good enough:
Explanation:
Imagine you ran an experiment with three predictors, with the following number of levels:
1. Repeated measures predictor, 4 levels
2. Repeated measures predictor, 3 levels
3. Independent measures predictor, 2 levels
How many rows in the resulting tidy tibble would each participant have? Give your answer as a number. When the b values in a logistic regression are expressed as odds ratios, how can you interpret b1 > 1?
The odds of the outcome when all the predictors are O
As the predictor increases, the probability of the outcome occurring decreases
The odds haven't changed the predictor makes no difference to the probability of the outcome occurring
As the predictor increases, the probability of the outcome occurring increases
Answers
As the predictor increases, the odds of the outcome occurring also increase. Therefore, the correct interpretation is: "As the predictor increases, the probability of the outcome occurring increases."
The tidy tibble would contain 24 rows for each participant. Each row would represent one combination of the predictor variables. The number of rows in the resulting tidy tibble for each participant can be calculated by multiplying the number of levels of each predictor. In this case, the number of levels for the first repeated measures predictor is 4, the number of levels for the second repeated measures predictor is 3, and the number of levels for the independent measures predictor is 2. Thus, the total number of rows for each participant would be
4 x 3 x 2 = 24.
As for the second part of the question, when the b values in a logistic regression are expressed as odds ratios, a b1 > 1 indicates that the odds of the outcome increase as the predictor variable increases. In other words, as the predictor increases, the odds of the outcome occurring also increase. Therefore, the correct interpretation is: "As the predictor increases, the probability of the outcome occurring increases."
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Medical researchers have determined that for exercise to be beneficial, a person’s desirable heart rate, r, in beats per minute, can be approximated by the formulas r = 143 minus 0.65 a for women r = 165 minus 0.75 a for men, where a represents the person’s age. if the desirable heart rate for a man is 135 beats per minute, how old is he? a. 22.5 years old b. 40 years old c. 45 years old d. 42.5 years old
Answers
Age will be 40 years old.
R, in beats per minute, can be approximated by the formulas, where a represents the person's age.
where R= 143 - 0.65a for women.... (1)
and R= 165 - 0.75a for men,..... (2)
So by implementing these two equation we get a = 40
If the sum of ages is X and Y, and the ratio of their ages is p:q, then the age of Y can be calculated using the formula shown below: Y's age = Y's ratio/Sum of ratios x sum of ages The age dependency ratio is the ratio of dependents (people under the age of 15 or over the age of 64) to the working-age population (people between the ages of 15 and 64). The proportion of dependents per 100 working-age population is shown in the data.
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On a piece of paper, graph y≥ x - 1. Then determine which answer choice
matches the graph you drew.
A
D
-19
(3, 2)
1(0.-1)5
A. Graph D
B. Graph B
C. Graph A
D. Graph C
B
(0..1)
(3, 2)
(0.-1)5
Answers
Based on the given inequality of y≥ x - 1, the graph that matches it best is C. Graph A.
How are inequalities graphed?When graphing an inequality with the "greater or equal" and "less or equal" signs, the line will be a steady line as shown by graphs A and B.
If y is the larger or equal variable, the shaded area will be to the left of the line.
The inequality is y≥ x - 1 which means that the line should be steady and the shading should be on the left of the line. Graph A is therefore the correct graph.
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Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 74.5 Mbps. The complete list of 50 data speeds has a mean of x= 17.34 Mbps and a standard deviation of s= 20.79 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]?
Answers
a. The difference between the highest data speed (74.5 Mbps) and the mean of all 50 data speeds (17.34 Mbps) is:
74.5 - 17.34 = 57.16 Mbps
b. To find the number of standard deviations, divide the difference by the standard deviation:
57.16 / 20.79 = 2.75
So, the difference of 57.16 Mbps is 2.75 standard deviations from the mean.
Mbps known as for “Megabits per second.” This is the standard measure of “speed” or “bandwidth” on home internet connections.
It finds how many bits (units of digital information) can be transferred each second. You’ll normally see speeds ranging from 10-1,000 Mbps advertised for home internet plans.
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a random sample of 2015 used cars for sale on the market has an average mileage of 71,420 miles with a sample standard deviation of 9,470 miles. what is the z-score for a used car with 80,500 miles in this sample?
Answers
The probability of the sample having a average gas mileage between 27 and 29 miles per gallon will be 0.0116.
What is a normal distribution?
The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
In 2015, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken.
Then the probability the sample has a mean gas mileage between 27 and 29 miles per gallon will be
The value of the z-score at x = 27, we have average as
The value of the z-score at x = 29, we have
z= 0.16
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Find dy/dx; y = S0 ³√x cos(t³)dt
Answers
The value evaluated for the given question is undefined under the condition that dy/dx; y = S0 ³√x cos(t³)dt .
We can evaluate this problem using the chain rule of differentiation
Let us proceed by finding the derivative of y concerning t
dy/dt = ³√x cos(t³)
We have to find dx/dt by differentiating x concerning t
dx/dt = d/dt (S0) = 0
Applying the chain rule, we evaluate dy/dx
dy/dx = dy/dt / dx/dt
dy/dx = (³√x cos(t³)) / 0
The value evaluated for the given question is undefined under the condition that dy/dx; y = S0 ³√x cos(t³)dt .
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The following are daily customer numbers at an outerwear store. You've calculated themedian number of customers for the first six days of the week:Monday Tuesday Wednesday Thursday Friday Saturday Sunday175132A. IncreaseB. DecreaseC. Stay the same121129145160Q. If the store has 173 visitors on Sunday, will the median increase, decrease, or stay thesame?
Answers
Answer:
\(A\text{ : Increase}\)Explanation:
Here, we want to deduce the median change
The median is a measure of central tendency that represents the middle number is a set of numerical observations
Firstly, let us get the previous median
We start by sorting the numbers from bottom to top
We have that as:
121,129,132,145,160,175
Since the count of observations is even, we have the median as the average of the two mid-values
We have that as:
\(\frac{132+145}{2}\text{ = 138.5}\)Adding the last value, the set becomes
121,129,132,145,160,173,175
In this case, the median value would be 145 which shows an increase in the value of the median
Answer:
A. Increase
Step-by-step explanation:
I took the
5.) A woman put $580 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for the vear in dollars and cents? (Round to the nearest cent) 6.) Pamela bought an electric drill at 85% of the regular price. She paid $32.89 for the drill. What was the regular price? (Round to the nearest cent)
Answers
The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents
To find the interest we can use this following formula:Interest = P x R x T.
Where:
P = Principal amount (the beginning balance).
R = Interest rate
T = Number of time periods
In this case, we are given that;
Principal amount (P) = $580
Interest rate (R) = 6,5 %
Time = 1 year
Hence, The amount of the interest = 6,5% of $580
= 0.065 × $580
= $37.7
1 dollar = 100 cents
Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents
To find the regular price of the electric drill, we can use this following formula:P = (1 – d) x
Where,
P = Price after discount
D = discount rate
X = regular price
In this case, we are given that:
P = $32.89
D = 85% = 0,85
Hence, the regular price:
P = (1 – D) x
32.89 = (1 – 0.85) X
32.89 = 0.15X
X = 32.89/0.15
X= 219.27
1 dollar = 100 cents
Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents
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fred went to pick oranges at a cutrus farm.He picked 5 bushels of oranges and paid $31.75. How much would it cost to pick 7 bushels of oranges?
Helpp
Answers
Answer:
$44.45
Step-by-step explanation:
5 bushels of oranges is $31.75 so 1 bushel is 31.75/5 = 6.35
7 bushels of orange is $6.35 x 7 = $44.45
Answer:
$44.45
Step-by-step explanation:
\( \frac{5 \: oranges}{31.75} = \frac{7 \: oranges}{x} \)
5x = 222.25
\(x = \frac{222.25}{5} \)
x = 44.45
One-third of the students in Mrs. Hayko's class walk to school. Of the students who do not walk to school, four-fifths take the bus.
a.) What fraction of the students in Mrs. Hayko's class take the bus to school?
b.) How many students might be there in her class?
Answers
Answer:
The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.
Step-by-step explanation:
a)
Let 'x' be the total number of students in Mrs. Hayko's class.
One-third of the students walk to school: (1/3)x.
The remaining students who do not walk to school: (2/3)x.
Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.
Simplify to find the fraction of students taking the bus: (8/15)x.
b)
Consider different values for 'x' to find a whole number of students taking the bus.
Start with a small number, such as x = 15.
Calculate the number of students taking the bus using (8/15)x.
If the result is a whole number, it's a possible class size.
Repeat with different values of 'x' until a whole number is obtained.
The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.
The inverse of a function can be found by ___ the numbers in each ordered pair of the function.
Answers
The inverse of a function can be found by swapping the numbers in each ordered pair of the function.
When you have a function with ordered pairs, the inverse of that function can be found by reversing the order of the numbers within each pair. In other words, if you have a function f(x) with ordered pairs (a, b), the inverse function, f^ (-1) (x), will have ordered pairs (b, a). This process essentially switches the input and output values of the original function.
To find the inverse of a function, simply swap the numbers in each ordered pair, resulting in the ordered pairs for the inverse function.
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two common tolerance zones of a perpendicularity tolerance are two parallel planes or a cylinder. question 4 options: true false
Answers
The given statement "two common tolerance zones of a perpendicularity tolerance are two parallel planes or a cylinder" is true because Perpendicularity tolerance is a geometric tolerance that is used to control the orientation of a feature relative to a datum.
It ensures that a feature is perpendicular to a specified datum plane or axis within a certain tolerance zone. There are two types of tolerance zones for perpendicularity: a pair of parallel planes and a cylinder. The parallel plane tolerance zone consists of two parallel planes that are perpendicular to the datum plane or axis.
The feature must lie between these two planes within the specified tolerance limit. The cylinder tolerance zone, on the other hand, consists of a cylinder that is coaxial with the datum axis. The feature must lie within the cylinder and be perpendicular to the axis within the specified tolerance limit.
Perpendicularity tolerance is essential in ensuring the proper fit and function of parts in a machine or assembly. Without it, parts may not fit together properly, causing problems such as misalignment, binding, or excessive wear.
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PLS HELP ASAP!!!!!!!
Triangle ABC is congruent to triangle XYZ. Side
BC corresponds to what side in triangle XYZ?
Answers
Write the numbers in increasing order. -8, 2, -10, -3, 9, 0
Answers
Answer:
-10,-8,-3,0,2,9
Answer:
-10, -8, -3, 0, 2, 9
Explaination:
12 gram of carbon occupies a volume of 22. 4 liters
Answers
The given information states that 12 grams of carbon occupies a volume of 22.4 liters. To understand the relationship between the mass and volume of a substance, we need to consider its density.
Density is defined as the mass of a substance per unit volume.
To find the density of carbon, we divide the mass (12 grams) by the volume (22.4 liters).
Density = Mass / Volume
Density = 12 grams / 22.4 liters
To simplify the calculation, we need to convert the volume from liters to cubic centimeters (cm³) since the density is typically measured in g/cm³. There are 1000 cm³ in 1 liter.
Volume (cm³) = 22.4 liters x 1000 cm³/liter
Now, we can calculate the density.
Density = 12 grams / (22.4 liters x 1000 cm³/liter)
Simplifying the calculation gives:
Density = 0.536 g/cm³
So, the main answer is that the density of carbon is approximately 0.536 g/cm³.
We can conclude that the given information allows us to determine the density of carbon. Density is an important property of a substance and represents the mass of the substance per unit volume. In this case, 12 grams of carbon occupies a volume of 22.4 liters
By dividing the mass by the volume, we find that the density of carbon is approximately 0.536 g/cm³. This means that for every cubic centimeter of carbon, it weighs 0.536 grams
Understanding the density of a substance is useful in various fields, including chemistry, physics, and engineering, as it helps in identifying and characterizing different materials.
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