The general equation for depreciation is given by y = A(1 – r)t, where y = current value,
A = original cost, r = rate of depreciation, and t = time, in years.
The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years?
Using the general equation for depreciation which is y = A(1 – r)^t, The value of the car in 4 years is $12528.15
How to find the value of the car in 4 yearsThe value of the car is solved by using the formula for depreciation which is y = A(1 – r)t
definition of variables
where
y = current value, = ?
A = original cost, = $24,000
r = rate of depreciation, = 15% and
t = time, in years. = 4 years
substituting the variables
current value, y = A(1 – r)t
current value, y = 24000 * (1 - 0.15)⁴
current value, y = 12528.15
the depreciation is $12528.15
Learn more about depreciation at:
https://brainly.com/question/27971176
#SPJ1
Question content area top left
Part 1
Find the slope of the line.
Question content area bottom left
Part 1
The slope of the line is 22.
(Type an integer or a simplified fraction.)
.
.
.
Question content area right
Part 1
-10
-8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
The slope of the line is -5/6 in the graph.
What is slope?The slope of a line is how steep it is going from LEFT to RIGHT. Slope is the proportion of a line's rise, or vertical change, to its run, or horizontal change.
No matter which two points you choose for the line's starting and ending points, the slope is always constant (it never changes).
From the given picture we can verify that
x₁ and y₁ is (-4, 6) and x₂ and y₂ is (2, 1).
We know the slope formula is y₂ - y₁ = m(x₂ - x₁)
Substituting the given details in formula we get
1 - 6 = m(2 - (-4))
-5 = m(6)
m = -5/6
Thus, the slope of the line is -5/6.
Learn more about slope
https://brainly.com/question/19131126
#SPJ1
HELP ME PLEASE!!!!!! I NEED IT ASAP.
Answer:
14. x = 9.7 cos(17) = 9.28
15. x = cos^-1 (10/16) = 51.32
16. x = 41/tan(35) = 58.55
4 1/4(x-4) =17 pls i need to get my grade up asap
[tex]4 \frac{1}{4}(x-4)=17[/tex]
1. Simplify.
[tex]\frac{17}{4} x-17=17[/tex]
2. Add 17 to both sides.
[tex]\frac{17}{4} x-17+17=17+17[/tex]
[tex]17/4x=34[/tex]
3. Multiply both sides by 4/17.
[tex]\frac{4}{17} \times(\frac{17}{4}x )=(\frac{4}{17}) \times(34)[/tex]
[tex]x=8[/tex]
Don Richie goes bowling. • He has $25.00 to spend. • He spends $5.00 to rent shoes • He spends $2.50 for each game he bowls
Write and solve an equation to show how many games Don Richie can bowl.
Answer:
Let x be the number of games Don can bowl.
We can write the equation as:
25 - 5 - 2.5x = 0
This equation represents the total amount of money Don has, minus the cost of renting shoes, minus the cost of each game he bowls, which should equal zero if he wants to spend all of his money.
Solving for x, we get:
25 - 5 - 2.5x = 0
2.5x = 20
x = 8
Don can bowl 8 games.
Step-by-step explanation:
Hope this helps (:
Find the missing side of each triangle. Leave your answers in the simplest radical form.
On solving the provided question, we can say that it is a right angle triangle x = [tex]\sqrt{5}[/tex]
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here
it is a right angle triangle
so by trigonometry
Sin 90 = [tex]\sqrt{5} / x[/tex]
x = [tex]\sqrt{5}[/tex]
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
Please help me with this question
The solution to the equation cosh(t) = t does not exist
How to determine the solution to the equationThe equation is given as
cosh(t) = t
To solve the equation cosh(t) = t, we can start by expressing the equation in terms of e^t and e^-t.
So, we have"
cosh(t) = (e^t + e^-t)/2 = t.
Rewrite the above equation as
e^t + e^-t = 2t.
Using a graphing calculator, the curve of e^t + e^-t and the line of 2t do not intersect
Hence, the equation has no solution
Read more about trigonometry at
https://brainly.com/question/24349828
#SPJ1
a flooring tile has a shape of a parallelogram Hight is 10cm and base is 24cm how many tiles do you need to fill a room with area 1080 msq
45000 tiles we need to fill a room with area 1080 m²
What is Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides.
Area of floor =1080m²
Base of parallelogram shaped tile (b) =24 cm
and corresponding height (h)=10 cm
Area of one tile=b×h
=24×10
=240 cm²
=240/10000=24/1000 m²
Number of tiles required=1080/(24/1000)
=1080×1000/24
=45000 tiles
Hence, 45000 tiles we need to fill a room with area 1080 m²
To learn more on Parallelogram click:
https://brainly.com/question/29147156
#SPJ1
If you vertically compress the absolute value parent function, f(x) = |x|, by a
factor of 5, what is the equation of the new function?
O A. g(x) = x
OB. g(x) = 5|x|
OC. g(x) = 15x1
OD. g(x)= x - 51
The image of absolute value function f(x) = |x| by rigid transformation is g(x) = 5 · |x|. (Correct choice: B)
How to apply compressions on functions
In this case we must derive the image of a absolute value function by means of a rigid transformation known as vertical compression, defined as:
f(x) = |x| → g(x) = k · |x|, where k > 0, k ≠ 1
There is enlargement for k > 1 and contraction for 0 < k < 1. Herein we find an enlargement case (k = 5), then the image of function f(x) = |x| is equal to:
g(x) = 5 · |x|
To learn more on rigid transformations: https://brainly.com/question/1761538
#SPJ1
A business analyst was interested in the relationship between a company's sales and its profits. She collected data (in millions of dollars) from a random sample of big business companies and created the accompanying regression summary statistics. The assumptions for regression inference appeared to Co satisfied. Complete parts a) and b) below, a) Is there a statistically significant association between sales and profits? Test an appropriate hypothesis and state your conclusion in context. Use a significance level of alpha = 0.05. State the null and alternative hypotheses. A. H_0: There is a linear relationship between sales and profits, beta_1 notequalto 0. H_A: There is a negative relationship between sales and profits, beta_1 < 0. B. H_0: There is no linear relationship between sales and profits, beta_1 = 0. H_A: There is a linear relationship between sales and profits, beta_1 notequalto 0. C. H_0: There is a positive relationship between sales and profits, beta_1 > 0. H_A: There is a negative relationship between sales and profits, beta_1 < 0. D. H_0: There is no linear relationship between sales and profits, beta_1 = 0. H_A: There is a positive relationship between sales and profits, beta_1 > 0.
A) The appropriate hypothesis test to determine if there is a statistically significant association between sales and profits is B. H_0: There is no linear relationship between sales and profits, beta_1 = 0. H_A:
There is a linear relationship between sales and profits, beta_1 ≠ 0. This test will determine if there is a linear relationship between the two variables, regardless of the direction of the relationship (positive or negative).
B) The conclusion of this test would be based on the p-value obtained from the test. If the p-value is less than the significance level of 0.05, we would reject the null hypothesis and conclude that there is a statistically significant linear relationship between sales and profits.
If the p-value is greater than 0.05, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a linear relationship between the two variables.
To know more about hypotheses refer to:
brainly.com/question/13045159
#SPJ4
what kind of tax is proposed by those who want a simple tax?
A. Progresssive Tax
B. Flat Tax
C. Tax with only 5 tax brackets
D. Those who want a simple tax want no tax
Those who want a simple tax want no tax, therefore option D is correct answer.
What is tax?Taxes are mandatory payments that citizens and businesses must make to the government, whether they are local, regional, or federal. Tax revenues are used to pay for government programmes like Social Security and Medicare as well as public works and services like roads and schools.
Taxes are paid by whoever is responsible for covering their cost, whether that is the taxed entity, such as a business, or the consumers of the goods that the business produces.
From an accounting perspective, all taxes, including payroll taxes, federal and state income taxes, and sales taxes, must be considered.
Learn more about Taxes
https://brainly.com/question/16423331
#SPJ1
Answer the question.
Answer:
16 boys and 8 girls
Step-by-step:
24 / 3 = 8
so 8 girls
24 - 8 = 16
and 16 boys
PLEASE HELP! Tony is making a circular, glass tabletop with a radius of 22 inches. Approximately how much glass does he need to make the tabletop?
A. 138.16 square inches
B. 379.94 square inches
C. 1,519.76 square inches
D. 6,079.04 square inches
Convert the measurement.
5 qt =
fl oz
Answer: 160 fl oz
Step-by-step explanation: 5qt x 32fl oz= 160 fl oz
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEE HELP MEEE. Which statement best describes a graph of paired points that form a proportional relationship? Responses A straight line cannot be drawn through all the points, and the line passes through the origin. A straight line cannot be drawn through all the points, and the line passes through the origin. A straight line can be drawn through all the points, and the line passes through the point (3, 0). A straight line can be drawn through all the points, and the line passes through the point , begin ordered pair 3 comma 0 end ordered pair, . A straight line can be drawn through all the points, and the line passes through the point where x = 0 and y = 0. A straight line can be drawn through all the points, and the line passes through the point where , x, = 0 and , y, = 0. A straight line can be drawn through all of the the points, but the line does not pass through the origin.
A graph of paired points that form a proportional relationship is a straight line that can be drawn through all the points, and the line passes through
the point where, x, = 0 and, y, = 0.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The equation of a line on a graph that forms a straight line and forms a proportional relationship will have to pass through the origin.
origin = (x, y) = (0, 0)
Thus,
The graph of paired points that form a proportional relationship is a straight line that can be drawn through all the points, and the line passes through the origin.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ1
Two random number generators each generate a number from 1 to 10. What is the probability that both number generators generated the number 5? (Give your answer as a percentage, decimal or fraction in simplest form.)
The probability that both numbers generated the number '5' is 1/100
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
The probability is expressed as : sample space/ total outcome
Two number generators can generate number from 1 to 10. This means that the total outcome is 10.
The number 5 has a sample space of 1 in the generated numbers.
Therefore the probability to generate 5 in the first machine = 1/10
The probability to generate 5 in the second machine = 1/10
The probability to generate 5 in both machines = 1/10 × 1/10 = 1/100.
learn more about probability from
https://brainly.com/question/24756209
#SPJ1
If there are 6 lollipops and 36 candy bars for a gift bag, fill out all of the possible
ratios of lollipops to candy bars that could be made.
There are 6 lollipops for every 36 candy bars (6:36 ratio)
lollipops for every candy bars try
There are
Type in an equivalent ratio of lollipops and candy bars.
Answer:
6 : 36. You are already said the answer????.
Step-by-step explanation:
Student representatives surveyed their classmates on their preference of a school mascot for a new school. The results are shown in the table below. Which pair of samples seems most representative of student preference?
Mascot Survey
Sample 1
Sample 2
Sample 3
Artichokes 15 Artichokes 0 Artichokes 3
Bears 28 Bears 53 Bears 48
Citizens 17 Citizens 7 Citizens 9
Sample 1 and sample 2 are most representative because there is less difference between the numbers of students that chose each mascot.
Sample 2 and sample 3 are most representative because the relationship between preferences is consistent.
Sample 1 and sample 3 are most representative because 0 should not appear in a sample.
None of the samples are representative because none of the values remained constant.
The pair of samples that seems most representative of student preference is Sample 2 and sample 3 are most representative because the relationship between preferences is consistent. Option 2
How to get the most representative preferenceIn order to get the most representative preference, we would have to get the value by subtracting the data in s2 and s3
Such that for antichokes we have 3 - 0 = 3
for bears 53 - 48 = 5
For citizens 9 -7 = 2
Hence the second option is the best solution here. This is as the in choosing the mascot is less here.
Read more on research surveys here: https://brainly.com/question/968894
#SPJ1
Answer: BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
HAVE A NICE DAY EVERYBODY LEAVE SOME THANKS AND ADD ME AS A FRIEND AND TEXT ME
Step-by-step explanation:
Roll a pair of dice 10 times and count the number of times the sum is 6.
A. Binomial B. Geometric C. Cannot Determine
Binomial is the correct Answer. Roll a pair of dice 10 times and count the number of times the sum is 6 is a Binomial distribution.
Random variables of this type have several characteristics, but the key one is that the experiment that is being performed has only two possible outcomes - success or failure, which is called Binomial distribution.
A binomial experiment that satisfies these four conditions:
A fixed number of trialsEach trial is independent of the othersThere are only two outcomesThe probability of each outcome remains constant from trial to trial.A fair six-sided die is rolled ten times, and the number of 6's is recorded
There is a fixed number of trials ten rolls, each roll is independent of the others, and there are only two outcomes either it's a 6 or it isn't, and the probability of rolling a 6 is constant.
To know more about Binomial distribution:
https://brainly.com/question/24756209
#SPJ4
Please answer with a step-by-step explanation!
The probability of the first number being divided by the second number is greater than zero is 1/2.
What is probability?Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. Probability that an event will occur P(E) is equal to the ratio of favourable outcomes to total outcomes. Because the favourable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative.
Given four tiles in a bag with numbers -2, -1, 1, 2
one tile selected at random the probability is 1/4
tile return to bag and another tile selected,
the probability of the second tile is 1/4
total outcome for both is 4 x 4 = 16
the ratio of both numbers should be positive
outcomes are (-2, -1)(-2, -2)(-1, -1)(-1, -2)(2, 1)(2, 2)(1, 1)(1, 2)
favourable outcome are 8
probability is 8/16 = 1/2
Hence the probability is 1/2
Learn more about probability here:
brainly.com/question/30034780
#SPJ1
Create a problem in which you subtract two five digit numbers to get a difference of 66827
?-?=66,827
Answer:
96,100-29273=66,827
Step-by-step explanation:
Make up a number higher than 66,827
I chose 96,100
find the difference between the number made up (EX. 96,100)
EX. 96,100- 66,827 = 29273
Then double check your answer as it is easy to make mistakes
96,100-29273=66,827
What’s the answer to this bottom question?
The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or deceleration of changes.
How do you find the average rate of change?When something changes over time, it does so at a certain rate, or ROC. Therefore, rather than the size of each change individually, it is the rate of change—or, more specifically, its acceleration or deceleration. Rate of change is a concept in finance that is used to comprehend price returns and pinpoint trends' momentum.
A ratio is used to express the rate of change, which contrasts the values of the y and x variables. The slope of the line represents the rate of change if it is linear, constant, and so on. Positive, negative, zero, or undefinable slopes are all possible for lines.
To learn more about average rate of change refer to:
https://brainly.com/question/8728504
#SPJ1
Question
Evaluate the expression when a=14 and b=6.
−8ab=
Answer:
Step-by-step explanation:
-672 would be your answer
I have no idea how to figure this out. I've been stuck on it for a while
Answer:
Step-by-step explanation:
x=-1/2,1/2
Step-by-step explanation:
4x^2 - 1 = 0
(2x - 1)(2x + 1)= 0
x = 1/2
x = -1/2
Find m∠ABD and m∠DBC
Answer:
m∠ABD=116°
m∠DBC=64°
Step-by-step explanation:
The sum of the two angles given equals 180°. To find the two angle measures, use the following equation:
m∠ABD+m∠DBC=180°
For this problem, m∠ABD=(7x+67)° and m∠DBC=(8x+8)°. So,
(7x+67)°+(8x+8)°=180°
15x+75=180
15x=105
x=7
Next, substitute x=7 into the original expressions for the angle measures.
m∠ABD=(7(7)+67)°
m∠ABD=(49+67)°
m∠ABD=116°
and
m∠DBC=(8(7)+8)°
m∠DBC=(56+8)°
m∠DBC=64°
Consider points R, S, and T. Point S is in the middle. Point R is below and to the left of point S. Point T is below and to the right of point S. Which statement is true about the geometric figure that can contain these points? No line can be drawn through any pair of the points. One line can be drawn through all three points. One plane can be drawn so it contains all three points. Two planes can be drawn so that each one contains all three points. Mark this and return
One plane can be drawn, so it contains all three points.
What is spherical coordinates?
The coordinate system that is most frequently employed in three-dimensional systems is called spherical coordinates of the system, represented as (r,Ф,∅ ). The surface area in three dimensions is calculated using the spherical coordinate system. Radial distance, polar angles, and azimuthal angle are the three numbers that these coordinates indicate. Additionally known as spherical polar coordinates.
Consider points R, S, and T. Point S is in the middle. Point R is below and to the left of point S.
Suppose that the S coordinate is at the origin, that is (0, 0)
The coordinates of R and T with respect to S will then be (-x, -y) and (x, -y).
Hence One plane can be drawn, so it contains all three points.
Learn more about spherical coordinates, by the following link
https://brainly.com/question/4465072
#SPJ1
Solve the system of equations using substitution. 3x + 2y = 7 x = 3y + 6 (0, −2) (1, 2) (3, −1) (6, 0)
Answer:
(3, −1)
Step-by-step explanation:
I did the test
the sum of three numbers is 75 the First number is 9 less than the third the second number is 2 times the third what are the numbers
The value of the third number is 25.5
What is an algebraic expression?An algebraic expression can be defined as an expression can be defined as an expression that consists of variables, coefficients, terms, constants and factors.
From the information given as;
First number = x - 9second number = 2(x - 9)third number = xNow, substitute the values, we get;
x - 9 + 2(x-9) + x = 75
expand the bracket
x - 9 + 2x - 18 + x = 75
collect like terms
x +2x + x = 75 +27
add or subtract the like terms
4x = 102
Make 'x' the subject of formula by dividing both sides by 4
x = 102/4
x = 25.5
Hence, the third number is 25.5
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
Complete question
the sum of three numbers is 75 the First number is 9 less than the third the second number is 2 times the third what are the numbers. Find the third number
The three numbers are 19, 28 and 56
What is word problem?Word problem in mathematics is expressing mathematical problems in words. In other words, a word problem is a verbal description of a problem situation wherein one or more questions are posed, the answers to which can be obtained by the application of mathematical operations to information available in the text.
Represent the three numbers with x, y, z
x = z-9
y = 2z
x+y+z = 75
substitute 2z for y in x+y+z
2z+x+z = 75
substitute z-9 for x
2z+z-9 = 75
3z- 9 = 75
3z = 75+9
3z = 84
z = 28
y = 2z
y = 2× 28
y = 56
to find the value of x;
x = 28-9
x = 19
therefore the value of the three numbers (x,y,z) is 19, 28, 56
learn more about word problem from
https://brainly.com/question/21405634
#SPJ1
for the frame and loading shown, determine the force acting on member abc (a) at b, (b) at c.
The force of the thrust loaded and supported as 12KN
By taking into account the equilibrium of the entire truss, it is possible to predict the reaction at the supports. Only the vertical component of the reaction at the ends A needs to be taken into account since both external loads are vertical. Given that the angle of the triangle AEC is 90 degrees, it has a right angle.
AE = AC cos 60º = 5 X 0.5 = 2.5m
CE = AC sin60º = 5 X 0.866 = 4.33m
Due to the fact that triangle ABE is an equilateral triangle,
AB = BC = AE = 2.5m
A right-angle triangle with an angle, the triangle BDC is once again
BDC = 90º
Also, BC = AC – AB = 5 – 2.5 = 2.5m BD = BC cos 60º = 2.5 X 0.5 = 1.25m
path of action of 12 KN force away from joint A,
AG = AB + BG
= AB + BD cos 60º = 2.5 + 1.25 X 0.5 = 3.125m
RC X 5 = 12 X 3.125 + 10 X 1.25 = 50 RC = 10KN ...(i) ∑V = 0, RC + RA = 10 + 12 = 22KN RA
= 12KN
Know more about Force
https://brainly.com/question/24994188
#SPJ4
The question is incomplete, The question is:
Determine the force of the thrust loaded and supported as shown in fig
I need help on this question I have attached it on this assignment. THX
Answer:
I) 5575
ii) 312.50
b) 345
Step-by-step explanation:
I)11.15(500)=5575
ii) 1.25(250)=312.50
b) 407.10/1.18 = 345