A used car was bought for $15,000. When the car was new, it sold for
$25000. If the car depreciates exponentially at a rate of 6% per year, approximately
how old is the car?
Answer:
around 6.66 year old
Step-by-step explanation:
In the following diagram, Figure D'C'B'A is obtained by a dilation of Figure DCBA about the point A
The area of the figure formed by the dilation is 36 square units.
Area is particularly essential in modern mathematics. In addition to its importance in geometry and calculus, area is linked to the determination of determinants in linear algebra and is an essential feature of surfaces in differential geometry.
A dilation occurs when an figure is reduced to a smaller size using a fixed center.
From the given diagram we can find the sides of the square that is the transformed image as 9 - 3 = 6 units
Area of the A'B'C'D' square = 36 square units.
Side of the original square = 18 units.
Area of the ABCD square = 18² = 324 square units
Scale factor of dilation = 324/36 = 9 times.
Hence from the figure we can calculate the area of the transformed figure to be 36 square units which is dilated by a factor of 9 times.
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Simon bought a new gaming system. He made an initial payment of $60 to the store , and he will pay $40 each month until the system is paid off. Which equation represents the relationship between m, the number of monthly payments Simon has made, and t, the total amount that Simon has paid the store?
Answer: t = 60 - m + 40 I think I don't really know how to solve this equation but I think this is the answer
Which of the following would NOT be an effective way to offer assistance to someone suffering from depression?
Ask someone you trust for help
Avoid any judgement or shame
Offer ideas for ways to cheer them up
Reassure them that they deserve to feel better
Answer: Ask someone you trust for help.
Step-by-step explanation: I chose this answer because if someone is struggling from depression you don't want to go off and tell people about it, I'm not completely sure if this is the answer but i know that the other answers are better. Definitely avoid judgment or shame.
help me with this please!
Answer:
The bottom one is correct.
On the last day of his summer tennis camp, Ron helps his instructor sort through a basket of tennis balls to throw out the old ones. Ron ends up throwing away 13 of the balls. He returns the remaining 42 balls to the basket.
Answer: 6
Step-by-step explanation:
Solve for both a and b giving brainliest
Answer:
[tex]\textsf{a.} \quad b=\dfrac{120}{23}-\dfrac{17}{23}h[/tex]
[tex]\textsf{b.} \quad h=\dfrac{120}{17}-\dfrac{23}{17}b[/tex]
Step-by-step explanation:
Given equation:
[tex]5.75b + 4.25h = 30[/tex]
Part aTo solve the equation for b, subtract 4.25h from both sides:
[tex]\implies 5.75b + 4.25h -4.25h= 30-4.25h[/tex]
[tex]\implies 5.75b = 30-4.25h[/tex]
Divide both sides by 5.75:
[tex]\implies \dfrac{5.75b}{5.75} = \dfrac{30-4.25h}{5.75}[/tex]
[tex]\implies b= \dfrac{30-4.25h}{5.75}[/tex]
[tex]\implies b= \dfrac{30}{5.75}-\dfrac{4.25h}{5.75}[/tex]
[tex]\implies b=\dfrac{120}{23}-\dfrac{17}{23}h[/tex]
Part bTo solve the equation for h, subtract 5.75b from both sides:
[tex]\implies 5.75b + 4.25h -5.75b= 30-5.75b[/tex]
[tex]\implies 4.25h = 30-5.75b[/tex]
Divide both sides by 4.25:
[tex]\implies \dfrac{4.25h}{4.25} = \dfrac{30-5.75b}{4.25}[/tex]
[tex]\implies h= \dfrac{30-5.75b}{4.25}[/tex]
[tex]\implies h= \dfrac{30}{4.25}-\dfrac{5.75b}{4.25}[/tex]
[tex]\implies h=\dfrac{120}{17}-\dfrac{23}{17}b[/tex]
Kiersti drove 58 mph for 1 hour and 52 minutes. Estimate the distance she traveled
Answer:
110 miles
Step-by-step explanation:
58 (1 + 52/60)
= 58 (1 + 13/15)
= 58 + 50.267
= 108.267 miles
= approximately 110 miles
write 4 2/4 as an improper fraction
Add. Write your answer as a fraction or as a whole or mixed number
10
1/4 + 5 1/2 =
Submit
Addition of 10 + 1/4 + 5 1/2
= 10 + 1/4 + 11/2 ....................(5 1/2 can be written as 11/2)
On taking the LCM of the denominators, we can write:
[(10 x 4) + 1 + (11 x 2)]/4
= (40 + 1 +22) /4 = 63/4
So, in fraction the solution is 63/4
In mixed number the solution can be written as: 15 3/4
What are Fractions?In general, any number of equal pieces is represented by a fraction, which is a portion of the entire. A fraction, such as one-half, eight-fifths, or three-quarters, indicates the number of parts of a particular size when it is used in daily speech. In uncommon fractions, such as compound fractions, complex fractions, and mixed numerals, numerators and denominators are also employed. Common fractions with a positive sign have natural integers for both the numerator and denominator. The denominator tells us how many of those equal parts make up a unit or a whole, whereas the numerator reflects the total number of equal parts.Since there is no such thing as a zero-part whole, the denominator cannot be zero.To learn more about Fractions, refer to:
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Can someone help me with this question?
ty <3
From the given milliliters of water and oil, the quantity of water is more than the oil , difference is of 450milliliters .
As given in the question,
As shown in the given diagram we have:
Mark of measure on water container is in between 600 and 800.
Mark represents it is 700milliliters
Mark of measure on oil container is in between 200 and 400.
Mark represents it is 250milliliters
700 milliliters is more than 250milliliters
700 > 250
Difference = 700 -250
= 450 milliliters
Therefore, from the given milliliters of water and oil, the quantity of water is more than the oil , difference is of 450milliliters .
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A bus carrying students stops every 30 minutes between 6am and 11am.students arrive at the bus top at random times. the time that a student waits is uniformly distributed from 0-30 mins. 1. calculate the area under the curve 2.calculate the mean 3.calculate the standard deviation 4.what is the probability that a student will wait more than 25 mins for a bus?
Using the uniform distribution, it is found that:
1. The area under the curve is of 1.
2. The mean is of 15 minutes.
3. The standard deviation is of 8.7 minutes.
4. The probability that a student will wait more than 25 mins for a bus is of 1/6.
What is the uniform probability distribution?The uniform distribution has two bounds, given by a and b, in which each possible outcome is equally as likely.
The area under the curve gives the sum of the probabilities of all outcomes, hence it is of 1, as the sum of the probabilities is of 1 = 100%.
The time that a student waits is uniformly distributed from 0-30 mins, hence the bounds of the interval are given by:
a = 0, b = 30.
The mean is given by:
M = (a + b)/2 = 30/2 = 15 minutes.
The standard deviation is given by:
[tex]S = \sqrt{\frac{(b - a)^2}{12}} = \sqrt{\frac{900}{12}} = 8.7[/tex]
The probability of finding a value higher than a measure x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Considering the bounds in this problem, the probability that a student will wait more than 25 mins for a bus is:
P(X > 25) = (30 - 25)/(30 - 0) = 5/30 = 1/6.
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Analiza lo siguiente ¿qué sucede si divides el número acumulado del año 2 entre el
dinero del año 1, posteriormente divide la cantidad acumulada del año 3 entre la
cantidad acumulada del año 2 y así sucesivamente?
Answer:
iiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
-10 9
Click twice to plot each segment.
Click a segment to delete it.
34
8
Answer:
slope = rise /run
Step-by-step explanation:
hysnsk
Solve the question for x.
By applying the interior angle bisector theorem of a triangle we find that value of x is equal to 6.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the interior angle bisector of a triangle divides the side opposite to the angle in the ratio of the other two sides.
let us go this way that 15x = 35.
∴ x = 7/3.
So, 35 is 7/3 times greater than 15.
∴ What is 7/3 times of 12.
= 12×7/3.
= 28.
Now the base of the larger triangle is (12 + 28) units = 40 units.
So, 6x + 4 = 40.
6x = 36.
x = 6.
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Tony has 1.44 lb of cheese. He needs 0.08 lb of cheese for one sandwich. How many sandwiches can he make?
Total weight of cheese = 1.44 lb
Weight of cheese for one sandwich = 0.08 lb
Number of sandwiches you can make from 1.44 lb
= 1.44/0.08
= 18 sandwiches
C
Z
Which two statements identify corresponding congruent parts for these triangles?
OA AB XY and ZCZY
O B. BC YZ and ZA = LX
OC. AB YZ and ZC ZX
O D. BC XY and ZA ZY
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
If ΔABC and Δ XYZ are two congruent triangles:
BC ≈ YZ
m∠A = m∠X
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two congruent triangles:
ΔABC
Δ XYZ
AC ≈ XZ
BC ≈ YZ
AB ≈ XY
m∠A = m∠X
m∠C = m∠Z
m∠B = m∠Y
From the above given congruent statements, we have the given options
BC ≈ YZ
m∠A = m∠X
Thus,
BC ≈ YZ
m∠A = m∠X
Option B is the correct answer.
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If a rectangle is 13 units wide and x units long what is the area
The area of Rectangle is 13x (13*x)
How to find area of rectangle ?
The formula of Area of Rectangle is A = W*L
A = area
W = width
L = length
so , to find area of rectangle
we have wide of 13 units , length x units
apply this in formula,
a = 13*x
so the area =13x
Some formulas of rectangle :
Area a = length * widthPerimeter p = 2( l +w)Diagonal d = [tex]\sqrt{W^{2} + L^{2} }[/tex]To learn more about find about rectangle refer :
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in a normal distribution, there is a constant proportion of the area under the curve lying between the mean and any given distance from the mean and is measured in group of answer choices variance units. z score units. raw score units. standard deviation units.
The area under the curve lying between the mean and any given distance from the mean is measured in standard deviation units.
Define normal distribution.The theoretical curve that shows the probability that an experiment will produce a particular result in statistics. The symmetrical and bell-shaped curve shows that whereas trials frequently provide results that are near to the average, they can also vary significantly from it on occasion.
The standard normal distribution is a type of normal distribution that has a mean of 0 and a standard deviation of 1. The standard deviation shows how far a given measurement deviates from the mean, and the standard normal distribution is centered at zero. Sixty-eight percent of the observations for the normal distribution are within one standard deviation of the mean, ninety-five percent are within two standard deviations of the mean, and 99 percent of the data are three standard deviations or less from the mean.
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Pls help asap plsss I really don’t get it
Answer:
Step-by-step explanation:
its 1 3 and 4
To evaluate g(x) when g(4) + g(-1), we need to first find g(4) and g(-1) separately.
g(x) = x^2 + 2xg(4) = 4^2 + 2(4) = 16 + 8 = 24g(-1) = (-1)^2 + 2(-1) = 1 - 2 = -1Now that we have g(4) and g(-1), we can find g(4) + g(-1):g(4) + g(-1) = 24 + (-1) = 23Therefore, g(4) + g(-1) = 23.Can someone pls help me right quick what’s the answer
Answer:
3rd one
Step-by-step explanation:
Pick the best estimate for the correlation coefficient.
The best estimate for the correlation coefficient based on the given scatter plot is: A. 0.85.
What is Correlation Coefficient?Correlation coefficient can be defined as a measure of the strength of the linear relationship that exist between two variables. The correlation coefficient between two variables can range from -1 to 1.
A value that is closer to 0 shows a strong correlation coefficient between the two given variables and it shows that the data points on a scatter plot are not far apart from each other along the line of best fit.
On the other hand, values that are farther from 0 shows a weak correlation between the two variables, which also means that the data points on a scatter plot would be farther apart from each other.
In the scatter plot given, the data points slopes upwards and are not far apart from each other. This definitely shows a positive correlation coefficient that is close to 1.
The best estimate is therefore A. 0.85.
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The equation of line k is y = -10x 8. Perpendicular to line k is line , which passes through
the point (2, 2). What is the equation of line ?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
pla
-
Submit
y = 1/10x + 9/5 is the equation in slope-intercept form.
What is slope-intercept form explain?
A line's equation can be written in the slope-intercept form such that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are instantly visible. A common name for this form is the y = mx + b form.Based on the position of two lines m = 1/10
the equation of linear function 2 = 1/10 . 2 + b
- b = 1/10 . 2 - 2
reduce the expression to the lowest term -b = 1/5 - 2
- b = 1 - 10/5
- b = -9/5
b = - ( -9/5 )
b = 9/5
y = 1/10x + 9/5
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SOMEONE PLEASE ANSWER!!!!!!!
Solve for x:
4(4/4x) + 5 = 32
Answer:
6.75
Step-by-step explanation:
The number of students who play chess is 5 more than 2 times the number of students that play soccer. If 11 students play soccer, how many play chess?
WILL GIVE 100 POINTS TO WHO EVER ANSWERS CORRECTLY
Answer: 27 students
Step-by-step explanation:
please look at image and answer question.
Answer: m = 129 degrees
Step-by-step explanation:
A Hexagon has 720 degrees in total
Subtract all the known angles
720 - 90 - 90 - 146 - 130 - 135 = m
m = 129 degrees
Answer:
m = 129°
Step-by-step explanation:
Finding the unknown angle in the polygon:Find the sum of angles of the polygon using the formula,
Sum of angles of polygon = (n - 2)*180
n is the number of sides. n = 6
= ( 6- 2) *180
= 4*180
= 720°
Sum of the angles of given polygon = 720
90 + 146 + 90 + 135 + m + 130 = 720
m + 591 = 720
m = 720 - 591
m = 129°
To solve -3 = -19 + d/5, what steps would you use?
The value of d is 4 by law of exponents.
What are exponents?
The mathematical procedure known as exponentiation uses the base b and the exponent, or power, n. Its translation is "b to the n" and its symbol is Bn. The how many times a number has been amplified by itself is known as an exponent. When written as 23, the phrase "2 to the third" actually means "2 x 2 x 2 = 8," not 23, and "2 x 3 = 6," respectively.
Keep in mind that a number multiplied by one equals the original number.
Exponents are a way to express very big numbers as powers of smaller numbers. The exponent, so to speak, is the amount of times an integer has been multiplied by itself.
Applying the laws of exponents,
Given that, -3 = -19 +d/5
-3 = -19 +d5
-3 + 19=d5
d = 4
The value of d is 4 by law of exponents.
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2) Kyle has $150 to spend at the video game store. He buys a new controller for $29 and spends the rest on games. If each game costs $11, how many games did Kyle buy?
A. 4.7
B. 11
C. 14
D. 121
Answer: I think it's B. 11
Step-by-step explanation:
150-29=121
121÷11=11
Convert 22 kilograms to pounds. (round
your answer to the nearest tenth)
1 lb = 0.4536 kg
1 kg = 2.205 lbs
22 kgs is equivalent to
lbs
Answer:
48.5 lbs
Step-by-step explanation:
lkg = 2.205 lbs
22kgs = 2.205 x 22
= 48.51 lbs
= 48.5 lbs (to the nearest tenth)
22 kilograms is equivalent to 48.5 pounds.
Given that we need to convert 22 kilograms to pounds.
We have,
1 lb = 0.4536 kg
1 kg = 2.205 lbs
To convert kilograms to pounds, you can use the conversion factor that 1 kilogram is equal to 2.205 pounds.
Therefore, to convert 22 kilograms to pounds, you can multiply 22 by 2.205:
22 kg x 2.205 lbs/kg = 48.51 lbs
Rounded to the nearest tenth, 22 kilograms is equivalent to 48.5 pounds.
Hence 22 kilograms is equivalent to 48.5 pounds.
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through (-3,5), slope=4 slope intercept
The most appropriate choice for equation of line in slope intercept form will be given by-
y = 4x + 17 is the required equation of line
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
Slope = 4
The line passes through (-3,5)
Equation of line = y - 5 = 4[x - (-3)]
y - 5 = 4x + 12
y = 4x+ 12 + 5
y = 4x + 17
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