The equation with value V indicating the decrease in value of iPhone 13 with years t is V = [tex] {1000 (1 - 0.02)}^{t} [/tex].
The equation to be used for the calculation of decreased value is -
A = [tex] {P (1 - r)}^{t} [/tex]. In this formula, A is amount, P is principal, r is rate and t represents time. Based on the information in question, A will be replaced with V. So, the required formula will be -
V = [tex] {P (1 - r)}^{t} [/tex]
Now keeping the values in formula for numerical equation -
V = [tex] {1000 (1 - 0.02)}^{t} [/tex]
Since two values are unknown here, the equation can not be solved further.
Therefore, the required equation is V = [tex] {1000 (1 - 0.02)}^{t} [/tex].
Learn more about depreciation -
https://brainly.com/question/1203926
#SPJ4
Avi and Micah are teammate on a track and field team. Avi' bet long jump i 1 1/6 time a long a Micah. Avi' bet long jump i 3 1/2 meter. How long i Micah' bet long jump?
Micah's best long jump is 3 meters long.
In this question we have been given Avi and Micah are teammates on a track and field team.
We need to find the how long is Micah's best long jump.
Let Micah's best long jump is x meters and Avi's best long jump is y meters.
Avi's best long jump is 3 1/2 meters.
⇒ y = 3 1/2 meters
We write this improper fraction as proper fraction.
3 1/2 = 7/2
Also, Avi's best long jump is 1 1/6 times as long as Micah's.
So, we get an equation
y = (1 1/6) * x
We write improper fraction 1 1/6 as 7/6
So equation becomes,
y = 7/6 * x
Subatitute the value of y
7/2 = 7/6 * x
x = (7/2)/(7/6)
x = 6/2
x = 3 meters
Therefore, Micah's jump is 3 meters long.
Learn more about the fraction here:
https://brainly.com/question/8969674
#SPJ4
Please awnswer the question below
The required probability that the spinner and number cube both lands on number 2 is 1/4. Option E is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total sample space = 4 × 6 = 24
Favorable event = (2, 2) = 1
The probability that the spinner and number cube both lands on number 2,
= favorable outcome/sample space
= 1 / 24
Thus, the required probability that the spinner and number cube both lands on number 2 is 1/4. Option E is correct.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
Trevor is planning a picnic for his coworkers and plans to serve veggie burgers. The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic.
Trevor is planning a picnic for his coworkers and plans to serve veggie burgers. The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic.
Trevor is planning a picnic for his coworkers and plans to serve veggie burgers. The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic.
Trevor is planning a picnic for his coworkers and plans to serve veggie burgers. The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic.
v = the number of veggie burgers Trevor prepares
c = the number of Trevor's coworkers who attend the picnic
Which of the variables is independent and which is dependent? = the number of veggie burgers Trevor prepares
= the number of Trevor's coworkers who attend the picnic
Which of the variables is independent and which is dependent?Vv = the number of veggie burgers Trevor prepares
= the number of Trevor's coworkers who attend the picnic
Which of the variables is independent and which is dependent? = the number of veggie burgers Trevor prepares
= the number of Trevor's coworkers who attend the picnic
Which of the variables is independent and which is dependent?
Answer:
Below
Step-by-step explanation:
"The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic."
v is dependent variable (see the quote above)
c is independent
an electric pole is 9m high. A steel wire tied to the top of the pole affixed at a point on the ground at a distance of 12m from the foot of the pole. Find the length of the wire.
pls answer the question.........step by step.............30pt
Answer:
the length is 15
Step-by-step explanation:
So the height of the pole(Opposite) = 9m
The steel wire fixed to the ground(Adjacent) = 12m
the length( Hypotenuse) = ?
using the formula
Hyp² = opp² + Adj²
Hyp² = 9² + 12²
Hyp² = 81 + 144
Hyp² = 225
Hyp = √225
Hyp = 15
i hope this helps
Daisha has a barrel in her garden to collect rainwater. The barrel can hold at most 65 gallons of water.
Which inequality represents this situation?
w ≤ 65
w ≥ 65
w < 65
w > 65
Answer:
w < 65 is the correct inequality.
Given: Line Segment AB is perpendicular to Line Segment BC, Line Segment DC is perpendicular to Line Segment BC, Line Segment AC is congruent to Line Segment DB
Prove: Line Segment AE is congruent to Line Segment DE
Write a two-column proof for this.
The proof is explained below
what is a method of two-column proof?A column proof is a logical argument that is presented in an organized manner. Every two-column proof has exactly two columns. One column represents our statements or conclusions and the other lists our reasons. In other words, the left-hand side represents our “if-then” statements, and the right-hand side explains.
Statements Reasons
1) ΔABC & ΔDCB are right ∠B =∠C =90°
angle triangle
2) AC=DB Given
3) BC is common Given
to both ΔABC & ΔDCB
4) By SAS property ΔABC≅ΔDCB ∠B =∠C =90° , BC is common,
and AC = DB
5) AB=DC By CPCT theorem
Hence, proved via two column proof.
Learn more about two column proof:
https://brainly.com/question/29047207
#SPJ1
3(x-5) But the variable x represents 3
Answer:
-6
Step-by-step explanation:
Do whats in the parentheses first (3-5=-2)
so you have 3(-2), and that equals -6
Answer:
[tex]\tt -6[/tex]Step-by-step explanation:
3(x - 5) when x = 3
Substitute x with 3:-
[tex]\tt 3\left((3)-5\right)[/tex]
[tex]\tt 3\left(-2\right)[/tex]
[tex]\tt -6[/tex]
Therefore, your answer is -6!
______________________
Hope this helps you!
Have a nice day!
a less than /- 5 is usually an indicator of a reliable public opinion poll. a. margin of error b. modal response c. sample size d. standard deviation e. self-selection bias
The correct answer is a. margin of error.
The margin of error is a measure of the precision of a survey or poll. It represents the range of values within which the true value of the population parameter being measured is likely to fall, based on the sample data collected. A smaller margin of error indicates a higher level of precision and a more reliable estimate of the population parameter. In general, a margin of error of less than +/- 5 is considered to be a good benchmark for a reliable public opinion poll.
The modal response is the most common response to a survey question. The sample size is the number of people included in the survey. Standard deviation is a measure of the dispersion of a set of data. Self-selection bias refers to the possibility that the people who choose to participate in a survey are not representative of the entire population being studied.
To know more about the Margin of error visit :
https://brainly.com/question/10501147?referrer=searchResults
#SPJ4
Indentify a pair of segments that are marked perpendicular to each other on the diagram below
Answer:
Indentify a pair of segments that are marked perpendicular to each other on the diagram below
Step-by-step explanation:
OQ
The shape on the left is transformed to the shape on the right.
Triangle W X Y is rotated to triangle W prime X prime Y prime.
Which of the following statements describes the transformation?
W prime X prime Y prime right-arrow W X Y
W X Y right-arrow W prime X prime Y prime
W X Y right-arrow Y prime X prime W prime
X prime Y prime W prime right-arrow W X Y
Answer:
It seems that you are describing a geometric transformation in which triangle WXY is rotated to form triangle W'X'Y'. The correct statement describing this transformation is: "WXY right-arrow W'X'Y'". In this transformation, the triangle is rotated in some way, resulting in the new triangle W'X'Y'.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Enter the value of x below.
x+8=12
Answer:
4
Step-by-step explanation:
x + 8 = 12
Subtract 8 from both sides :
x = 12 - 8
x = 4
Hope this helped and have a good day
Find the volume of the olid cone obtained by rotating the region bounded by the line y=12x, y=0, and x=4 about the x-axi
The volume of the solid cone obtained by rotating the region bounded by the line y=12x, y=0, and x=4 about the x-axis is 38603.89 [tex]unit^{3}[/tex]
We will calculate the volume in the following way,
Given lines are: x=4, y=0, y=12x
First, we make a triangle from the given equation and then rotate it along the x-axis to get the dimensions of the cone.
We, need to put x=4 and y=0 in y=12x to get all the vertices of the triangle.
Points are: (0, 0), (4, 0), and (4, 48).
Now, we rotate this triangle about the x-axis.
Thus, the radius of the cone(r)= 48 and the height of the cone(h)= 4.
Therefore, the formula for the volume of the cone (v)= [tex]\frac{4}{3}*(\pi *r^{2}*h )[/tex]
=[tex]\frac{4}{3} \pi*48^{2}*4[/tex]
=38603.89 [tex]units^3[/tex]
Therefore the volume obtained is 38603.89 [tex]unit^{3}[/tex]
Read more about the Volume of the solids revolution:
https://brainly.com/question/15829988
#SPJ4
Express the height of the tree in terms of
trigonometric ratios. (MGSE9-12.G.SRT.6, MGSE9-
12.G.SRT.7)
A. 90 cos 50°
B. 90 sin 50⁰
C. 90 cot 50°
D. 90 tan 50⁰
Answer:
x = 90 Tan 50
107.1
Step-by-step explanation:
Adjacent = 90
Height of the tree(opposite) = x
so what connects adjacent and opposite is TOA
Tanθ = opposite /Adjacent
Tan 50° = x/90
cross multiply
x = 90 Tan 50°
x = 90 × 1.19
x = 107.1m
:- the height of the tree is 107.1m
pls rate as brainliest
Which fraction represents a repeating decimal?
A 3/5
B 3/8
C 3/10
D3/11
Answer:
D: 3/11
Step-by-step explanation:
3/11 is equal to .2727272727 which is known as a repeating decimal as it is never-ending.
3/5 = .6
3/8 = .375
3/10 = .3
In a parallelogram, the sum of the measures of the angles is ______?
Answer: 360
Step-by-step explanation:
Answer is 360 degrees
a parallelogram can be divided into two triangles
The Sum of the angles of each triangle is 180°
2 x 180 =360
Answer:
360
Step-by-step explanation:
Formula to find the sum of angles of any shape
(n-2)x180
(4-2)x180
2x180=360
Hence the sum of angles of a parallelogram is 360
Work out the circumference of this circle. Take pi to be 3.142 and give your answer to 1 decimal place.
9m
ok i can di it...... ..........
The solution is 28.3 m
The circumference of the circle whose radius is 4.5 m is 28.3 m
What is a Circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the circumference of the circle be represented as C
Now , the equation will be
The diameter of the circle = 9 m
The radius of the circle r = d/2 = 4.5 m
And , the circumference of the circle C = 2πr
Substituting the values in the equation , we get
Circumference of the circle C = 2 x 3.142 x 4.5
Circumference of the circle C = 28.278 m
Therefore , the value of C is 28.3 m
Hence , the circumference of the circle is 28.3 m
To learn more about circle click :
https://brainly.com/question/28391204
#SPJ2
Samantha has a total of 12 chickens.if she has 3 times as many chickens as dogs write and sole an equation to determine the number of dogs she has.
Answer:
Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. The correct answer is 3x = 12; x = 4.
How did we figure this out?Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. First you have to divide by 3 on both sides.
⇒ 3x = 12 ⇒ x = 4 This is your answer, x = 4Therefore, Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. The correct answer is 3x = 12; x = 4.
What is an equation of the line that passes through the point (-1, -3) and is parallel to the line 4x-y=2 Please
Answer:
y = 4x + 1
Step-by-step explanation:
4x - y = 2 => y = 4x - 2
So slope of the above equation is 4.
Parallel lines should have the same slope
Given m = 4, y = -3, x = -1
y = mx + b
-3 = 4(-1) + b
-3 = -4 + b
b = 1
so y = 4x + 1
A card is drawn from a standard 52-card deck (no jokers). Match each event with its probability.
Probabilities:
*The probability the card is red, given that it is a face card.
*The probability the card is a king, given that it is a face card.
*The probability the card is red, given that it is a spade.
*The probability the card is red, given that it is a face card.
*The probability the card is a face card, given that it is a queen.
Options:
1/2
1/3
1
0
The probability the card is red, given that it is a face card is 1/2 and the probability the card is a king, given that it is a face card is 1/3.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given:
A card is drawn from a standard 52-card deck (no jokers).
We have to match each event with its probability.
Since, a deck of cards contains the face cards J, Q, and K.
Let's say there are four different kinds of cards: spades, clubs, hearts, and diamonds.
King, Queen, and Jack are contained in each of these types.
Thus, the total number of face cards is 12 (3 x 4).
(1) Let the face cards are 12 and there are 6 red cards in that 12 face cards.
So, the probability the card is red, given that it is a face card is
= 6/12 = 1/2.
(2) There are 4 king in a 12 face cards.
So, the probability the card is a king, given that it is a face card
= 4/12 = 1/3.
Hence the probability the card is red, given that it is a face card is 1/2 and the probability the card is a king, given that it is a face card is 1/3.
To know more about probability, click on the link
https://brainly.com/question/24756209
#SPJ1
PLEASR HELP ASAP, FALLING BEHIND BIG TIME!! Please explain I really suck at math and can not fail what so ever!!!
The table below represents a linear function. (Picture Below)
What is the slope?
Answer:
-12/3
Step-by-step explanation:
the slope of a linear equation is defined as
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y is the output so in this case, the y's would be f(n) on the chart
x is the input so in this case the x's would be n on the chart
to keep things simple ill use the first 2 columns of the chart, which give the (x,y) pairs (-3,15) and (0,3)
Simply plug these x's and y's into the above equation to get the slope
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\\frac{3 -15 }{0--3 }\\\frac{-12}{3} \\[/tex]
A 15-foot tall tent pole i ecured to the ground uing a piece of rope 17 feet long that goe from the top of the tent pole to the ground. If the tent pole make a 90-degree angle with the ground, determine the number of feet along the ground from the tent pole to the rope. A. 64 feet
B. 19 feet
C. 8 feet
D. 7 feet
As per the Pythagoras theorem, the number of feet along the ground from the tent pole to the rope is 8 feet.
Here we have given that A 15-foot tall tent pole incurred to the ground using a piece of rope 17 feet long that goes from the top of the tent pole to the ground. If the tent pole make a 90-degree angle with the ground,
And we need to determine the number of feet along the ground from the tent pole to the rope.
AS per the given data, here we have consider that the pole makes 90° with the ground and is supported by a rope.
And for the clear observation, here we can realize that the pole, rope and ground form a right-angled triangle, where
The value of Hypotenuse (h) = length of rope = 17 feet
And the Side 1 (p) = length of tent pole = 15 feet
Then the Side 2 (b) = distance between pole and rope along the ground
Now, we have to applying the Pythagorean theorem, the following equation is obtained:
=> h² = p² + b²
Then we have to apply the values on it, then we get
=> 17² = 15² + b²
=> b² = 289 - 225
Therefore, the value of is calculated as,
=> b = √64
=> b = 8 feet
Therefore the distance between the tent pole and the rope along the ground is 8 feet.
To know more about Pythagoras theorem here.
https://brainly.com/question/343682
#SPJ4
d divided by 5.20 = 2.40
Answer:
Below
Step-by-step explanation:
D / 5.2 = 2.4 multiply both sides of the equation by 5.2 to get
D = 12.48
At a certain high school, the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 3.1 pounds. A random sample of 5 backpacks will be weight, in pounds, of each backpack will be recorded. For samples of size 5, which of the following is the best interpretation of Pl (a > 22) 0.05?a. The probability that each of the 5 backpacks selected will have a weight above 22 pounds is approximately 0.05.b. The probability that each of the 5 backpacks selected will have a weight above 19.7 pounds is approximately 0.05c. The probability that the population mean is greater than 22 pounds is approximately 0.05.d. For all samples of size 5, approximately 5% of the sample will have a probability greater than 22 pounds,e. For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.
The probability for all sample of 5 that the sample mean will be greater than 22 pounds is approximately 0.05.
The distribution of backpack with mean deviation = 19.7 pounds
And the standard deviation = 3.1 pounds
According to this question,
He normal probability distribution and the central limit theorem were used.
Normal probability distribution, ; Problems of normally distributed samples are solved using the z-score formula.
Mean standard deviation, the z-score of a measure X is given by:
Z = x-μ/σ
The Z-score measures how many standard deviations. the measure is from the mean.
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score.
This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Subtracting 1 by the p value,
We get the value probability that of the measure is greater than X.
Central Limit Theorem; The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For samples of size 5, which of the following is the best interpretation of P(ä > 22) = 0.05
No matter the size of the sample mean will be the same.
However, the standard deviation will be changed.
P(ä > 22) is the probability of the sample means being above 22.
For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.
For more information about standard mean and deviation:
https://brainly.com/question/28108712
#SPJ4
Find the 5th term in this sequence n²-4n
Answer: 5
Step-by-step explanation:
(5^2) - (4 x 5)
The price of an item yesterday was $115. Today, the price fell to $46. Find the percentage decrease.
Answer: 40%
Step-by-step explanation:
the pecentage of decrease is 40%
correct me if i'm wrong ;(
HOPE THIS HELPS
What percentage of people in the U.S. celebrate winter holidays such as hanukkah, christmas, and kwanzaa?
The percentage of people in the U.S. celebrate winter holidays such as hanukkah, christmas, and kwanzaa is above 90%.
How to illustrate the percentage?This holiday season, it should be noted that that 92% of Americans will celebrate Christmas, 5% will celebrate Hanukkah, and 3% will celebrate Kwanzaa. Five percent will celebrate more than one holiday
America has come to appreciate Hanukkah. Hanukkah is celebrated by the majority of American Jews, at least with a family meal or the lighting of a menorah, and the majority of non-Jews in America are aware of the holiday.
Learn more about Christmas in:
https://brainly.com/question/25861763
#SPJ1
Choose 5 ordered pairs whose first and second coordinate are equal. Plot these points and connect them. What kind of figure do you get? In what quadrants does the figure lie?
Answer:
Here are 5 ordered pairs whose first and second coordinates are equal:
(2,2)
(3,3)
(4,4)
(5,5)
(6,6)
If we plot these points and connect them, we get a straight line that runs from the bottom left to the top right of the coordinate plane. This line is called the "diagonal" of the coordinate plane and it divides the plane into 4 quadrants.
The figure that we get lies in all 4 quadrants of the coordinate plane. The top right and bottom left quadrants are the "positive" quadrants, where both the x- and y-coordinates are positive. The top left and bottom right quadrants are the "negative" quadrants, where both the x- and y-coordinates are negative.
In a regression analysis, the error term ε is a randomvariable with a mean or expected value ofa) Zerob) Onec) any positive valued) any value
In a regression analysis, the error term ε is a random variable with a mean or expected value of zero.
The model used in regression analysis is known as the regression model it is used to estimate the relationships between a dependent variable and one or more independent variables.
It helps us to find the strength between two given relations thus determining whether a plan is correct or not. It helps us to make plans based on certain reports .
Another way of analyzing things is by using multiple regression analysis, it can be used to assess the connection between a dependent variable and two or more independent variables. For example, you may assess the relationship between a person's income and their experience, education, and geographic area.
To learn more about regression analysis
brainly.com/question/28178214
#SPJ4
: Practice & Problem Solving
Part 1 of 2
Marsha deposited $9,000 into a savings account 3 years ago. The simple interest rate is 5%. How much money did Marsha earn in interest?
Substitute the values into the equation.
Answer:
Marsha earn $1350.
Step-by-step explanation:
Given;P = $9000T = 3 yearsR = 5%To Find;InterestSo,
9000 × 5 × 3 ÷ 100
135000/100
$1350
Thus, Marsha earn $1350.
25. Which correctly gives the center of dilation
and scale factor of the dilation below
a) dilated by a scale factor of 1/3 with
the origin as the center of dilation
b) reflection in the line y = -x
(x, y)-(-y, - x)
Directions: Graph and label each figure and its image under the sequence of transformations.
Give the coordinates of the image.
27. Rectangle PQRS with vertices P(-6, 9), Q(3, 6), R(0, -9), and S(-9, -6):
10,10
لهاشم
(-8,-1): 4-
B. (-8,-1);-
C. (0,-5): 4-
D. (0,-5);&-4
C
016-31
R. (20
5.16.9
P
26. N(-10, -15) is the image of N after a dilation
with a scale factor of 5/4, centered at the
origin. What are the coordinates of N
29. Which sequence of transformations will map PQ onto RS?
R
13
A. a 90° clockwise rotation about the origin,
then a reflection in the x-axis
B. a 180° rotation about the origin,
then a translation along the vector (2.2)
C. a reflection in the x-axis, then a
translation along the vector (2,6)
D. a translation along the vector (5.-2),
then a reflection in the x-axis
D.
When the point N is dilated, the coordinate of N changes to N' ,the coordinate of point N is (8,12).
What is dilation?
In arithmetic, a dilation may be a perform f from a mathematical space M into itself that satisfies the identity d=rd for all points x, y \in M, wherever d is that the distance from x to y and r is a few positive imaginary number.
Main body;
How to determine the coordinate of N
The given parameters are:
N' = (10,15)
k = 5/4
To calculate the coordinate of N, we make use of:
N * k = N'
So, we have:
N * 5/4 = (10,15)
Multiply both sides by 4
N * 5 = (40,60)
Divide both sides by 5
N = (8,12)
Hence, the coordinate of point N is (8,12)
Read more about dilation at:
brainly.com/question/3457976
#SPJ1