The more accurate value is 6.57881347896059, which you can round however you need. I picked two decimal places.
==================================================
Explanation:
Let's pick a starting value of the car. It doesn't matter what the starting value, but it might help make the problem easier. Let's say A = 1000. Half of that is 1000/2 = 500.
So we want to find out how long it takes for the car's value to go from $1000 to $500 if it depreciates 10% per year.
The value of r is r = 0.10 as its the decimal form of 10%
t is the unknown number of years we want to solve for
---------------------------
y = A(1 - r)^t
500 = 1000(1 - 0.1)^t
500 = 1000(0.9)^t
1000(0.9)^t = 500
0.9^t = 500/1000
0.9^t = 0.5
log( 0.9^t ) = log( 0.5 )
t*log( 0.9 ) = log( 0.5 )
t = log( 0.5 )/log( 0.9 )
t = 6.57881347896059
Note the use of logs to help us isolate the exponent.
Without using technology, describe the end behavior of f(x) = −3x4 + 7x2 − 12x + 13.
Answer:
11 over 13
Step-by-step explanation:
first, you deal with multiplication;
x = -12 + 14 - 12x + 13
second, deal with addition;
x = -2 - 12x + 13
third, take -12 to the other side then the negative changes to positive;
12x + x = -2 + 13
fourth, add them then simplify;
13x = 11
ans is 11 over 13
expanded notation 13.62
Answer:
thirteen point six two
which terms are like terms in the following expression ? 6x + 8xy - 3x + 9y + 4x^2
Answer:
[tex]\Large \boxed{{6x \ \mathrm{and} \ -3x}}[/tex]
Step-by-step explanation:
Like terms have identical variables and exponents, the coefficients don’t have to be the same.
The like terms from the expression are 6x and -3x.
Step-by-step explanation:
Hey, there!!
6x and -3x are like terms.
Like terms in algebraic terms are those terms which has same variable or exponents. In This expression "6x+8xy-3x+9y4x^2"
6x and -3x has "x" common in them so, The answer is 6x and -3x.
Hope it helps..
2^x [(x+1)^3 -1] =2^x - (x+1)^3 + 1
Evaluate the expression of both of the whole number X values. One will be negative and the other positive. Identify the negative value as a lower bound and a positive value as a upper bound.
Answer:
Step-by-step explanation:
Given
2^x [(x+1)³ -1] = 2^x - (x+1)³ + 1
Lep p = 2^x, and q = (x+1)³ - 1
Then the original equation becomes
pq = p - q
p - q - pq = 0
p(1 - q) - q = 0
p = q/(1 - q)
2^x = [(x+1)³ - 1]/[-(x+1)³]
2^x = [1 - (x+1)³]/[(x+1)³]
2^x = (x+1)^(-3) - 1
Does anyone know how to find the area of this problem?
Answer:
Step-by-step explanation:
2x2=4 4x1=4
Answer:
7units²
Step-by-step explanation:
I cut the shape into smaller shapes, found the area of each smaller shape, then added those areas together to find the total area for the whole shape :)
Within what values will 95.44 percent of sample means of this process fall, if samples of n = 8 are taken and the process is in control (random)?
This question is incomplete, here is the complete question:
Specifications for a part for a DVD player state that the part should weigh between 25.2 and 26.2 ounces. The process that produces the parts has a mean of 25.7 ounces and a standard deviation of .25 ounce. The distribution of output is normal. Use Table-A
a) What percentage of parts will not meet the weight specs? (Round your "z" value and final answer to 2 decimal places.
b) Within what values will 95.44 percent of sample means of this process fall, if samples of n = 8 are taken and the process is in control (random)
Answer:
a) What percentage of parts will not meet the weight specs = 4.56%
b) values within which 95.44 percent of sample means of this process falls are;
UCL = 25.88 ounces
LCL = 25.52 ounces
Step-by-step explanation:
Given that;
Mean u = 25.7 ounces
Std deviation = 0.25 ounces
a)
Z-score (Upper) = (X- u) / s = (26.2 - 25.7) / 0.25 = 2
Z-score (Lower) = ( 25.2-25.7 ) / 0.25 = -2
using the T - table
For Z = 2.0
the area in the tail of the curve to the right of the mean (upper) = 0.4772
therefore;
Number of defective = 0.5000 - 0.4772 = 0.0228
These are errors on one side of normal distribution.
To get the total error, we say
Total error = 2 × 0.0228
Total error = 0.0456 ≈ 4.56% ( 2 decimal place )
b)
given that;
n = 8,
standard deviation = 0.25 ounce
Standard deviation of X = Std deviation / √n
= 0.25 /√8 = 0.088
Now for 95.44% of confidence interval, Z = 2
UCL = Mean + Z × Standard deviation of X
= 25.7 + 2 × 0.088
= 25.88 ounces
LCL = Mean - Z × Standard deviation of X
= 25.7 - 2 × 0.088
= 25.52 ounces
Three guests check into a hotel room. The manager says the bill is $30, so each guest pays $10. Later the manager realizes the bill should only have been $25. To rectify this, he gives the bellhop $5 as five one-dollar bills to return to the guests.
On the way to the guests' room to refund the money, the bellhop realizes that he cannot equally divide the five one-dollar bills among the three guests. As the guests aren't aware of the total of the revised bill, the bellhop decides to just give each guest $1 back and keep $2 as a tip for himself, and proceeds to do so.
As each guest got $1 back, each guest only paid $9, bringing the total paid to $27. The bellhop kept $2, which when added to the $27, comes to $29. So if the guests originally handed over $30, what happened to the remaining $1?
Answer:
the manager has it
Step-by-step explanation:
this sounds more like a riddle than a math question
Answer:
This was so confusing and I had to use like 3 sheets of paper
Step-by-step explanation:
$25 + $2 + $1 + $1 + $1 = $30.
So the manager has it, the point is to change the numbers so your brain gets confused.
(2²)³+(2³)²/4
Simplificar
━━━━━━━☆☆━━━━━━━
▹ Answer
80
▹ Step-by-Step Explanation
(2²)³ + (2³)² ÷ 4
Rewrite:
2⁶ + 2⁶ ÷ 2²
Divide:
2⁶ + 2⁴
Factor:
(2² + 1) * 2⁴
Evaluate:
(4 + 1) * 2⁴
Calculate:
5 * 16
= 80
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
What is the most precise name for quadrilateral ABCD with vertices A(–5,2), B(–3, 5),C(4, 5),and D(2, 2)?
Answer: ABCD is a parallelogram.
Step-by-step explanation:
First we plot these point on a graph as given in attachment.
From the attachment we can observe that AD || BC || x-axis .
also, AB ||CD, that will make ABCD a parallelogram , but to confirm we check the property of parallelogram "diagonals bisect each other" , i.e . "Mid point of both diagonals are equal".
Mid point of AC= [tex](\dfrac{-5+4}{2},\dfrac{2+5}{2})=(\dfrac{-1}{2},\dfrac{7}{2})[/tex]
Mid point of BD= [tex](\dfrac{-3+2}{2},\dfrac{5+2}{2})=(\dfrac{-1}{2},\dfrac{7}{2})[/tex]
Thus, Mid point of AC=Mid point of BD
i.e. diagonals bisect each other.
That means ABCD is a parallelogram.
Answer: ABCD is a parallelogram.
Step-by-step explanation:
First, we plot these points on a graph as given in the attachment. From the attachment, we can observe that AD || BC || x-axis. Also, AB ||CD, which will make ABCD a parallelogram, but to confirm, we check the parallelogram property "diagonals bisect each other," i.e., "Midpoint of both diagonals is equal."
The midpoint of AC=. The midpoint of BD=. Thus, the Midpoint of AC=Mid point of BD diagonals bisects each other. That means ABCD is a parallelogram.
1. How tall, in feet, would you be if you were 1,000,000 inches tall?
Answer:
500
Step-by-step explanation:
Which is the simplified form of (StartFraction 2 a b Over a Superscript negative 5 Baseline b squared EndFraction) Superscript negative 3? Assume a not-equals 0, b not-equals 0. StartFraction b cubed Over 8 a Superscript 18 Baseline EndFraction StartFraction b squared Over 8 a Superscript 45 Baseline EndFraction StartFraction a Superscript 6 Baseline Over 4 b EndFraction StartFraction 2 a Superscript 6 Baseline Over b Superscript 5 Baseline EndFraction
Answer:
[tex]\dfrac{b^3}{8a^{18}}[/tex] matches the first choice
Step-by-step explanation:
[tex]\left(\dfrac{2 a b}{a^{-5}b^2}\right)^{-3}=(2a^{1-(-5)}b^{1-2})^{-3}=(2a^6b^{-1})^{-3}\\\\=2^{-3}a^{6(-3)}b^{-1(-3)}=8^{-1}a^{-18}b^3=\boxed{\dfrac{b^3}{8a^{18}}}[/tex]
__
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
a^-b = 1/a^b
Answer:
A
Step-by-step explanation:
just took the pretest! good luck!
You are certain to get a red card when selecting 27 cards from a shuffled deck. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusiv
Answer:
If something is guaranteed, it has a probability of 100%, or 1.
Step-by-step explanation:
A standard deck has 52 cards. Of these, half are red cards (diamonds and hearts) and half are black cards (clovers and spades)
Half of the deck is 26 cards (52 ÷ 2 = 26), so you have 26 red and 26 black cards.
What this means in our context is, if we draw 27 cards, even if we drew all 26 black cards, we would still have 1 red card.
So the probability is 100%, or 1, of drawing a red card when we pick 27 cards from a deck, no matter how it's shuffled
The probability of getting a red card is 1.
No matter how you shuffle the cards, the no of cards will remain the same.
Therefore, it will not affect the probability.
What is probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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A small company is creating a new product to sell to buyers. They have estimated that it will cost them $25 to produce each item and they will have start-up costs of $116000. This leads to the following expression, which gives the total cost, in dollars, to produce q of these new products: 25q+116000 Use this expression to predict how much it will cost them to produce 8900 items.
Answer:
[tex]Cost = 338500[/tex]
Step-by-step explanation:
Given
Startup = $116000
Cost per item = $25
Equation: 25q + 116000
Required
Determine the cost of producing 8900 items
The question implies that q = 8900
To solve further, we have to substitute 8900 for q in the given equation
Equation = 25q + 116000 becomes
[tex]Cost = 25 * 8900 + 116000[/tex]
[tex]Cost = 222500 + 116000[/tex]
[tex]Cost = 338500[/tex]
Hence, the cost of producing 8900 items is $338500
Help please!!! Thank you
Answer:
B: 54
Step-by-step explanation:
for the first digit: 1 or 3 (2 choices)
for the second digit: 0, 1, or 3 (3 choices)
for the third digit: 0, 1, or 3 (3 choices)
for the forth digit: 0, 1, or 3 (3 choices)
2×3×3×3=54
Answer:
B) 54
Step-by-step explanation:
There are 3 numbers, but in the fourth positon (tens of thousands) if i put the zero no give value, then, in this position only have 2 options:
2*3*3*3 = 54
PLEASE HELP! (3/4) - 50 POINTS -
Answer:
C
Step-by-step explanation:
The set of data will only become more narrow when the standard deviation is decreased, so D isn't correct. The data isn't going to shift directions unless there's a translation, so A and B are both out. That leaves us with C. The opposite of answer D.
Answer:
C. It produces a wider range of probable values
Step-by-step explanation:
The set of data that we have cannot shift in directions unless there is a translation, so therefore, A and B are both out. The set of data would become smaller when the standard deviation is decreases so therefore, D isn't correct. So, that leaves us with only one answer.
C. It produces a wider range of probably values.
A researcher would like to test the claim that the mean lung capacity of middle-aged smokers is less than the mean lung capacity of senior citizen nonsmokers. Independent random samples of 34 middle-aged smokers and 34 senior citizen nonsmokers will be used in a hypothesis test of this claim, and it is believed that the standard deviations of the lung capacities in the populations of middle-aged smokers and senior citizen nonsmokers are the same. Which test statistic formula should be used for this test
Answer:
The respiratory system extends from the nose and upper airway to the alveolar surface of the lungs, where gas exchange occurs. Inhaled tobacco smoke moves from the mouth through the upper airway, ultimately reaching the alveoli. As the smoke moves more deeply into the respiratory tract, more soluble gases are adsorbed and particles are deposited in the airways and alveoli. The substantial doses of carcinogens and toxins delivered to these sites place smokers at risk for malignant and nonmalignant diseases involving all components of the respiratory tract including the mouth.
Ae
A Man travels distance
84km in Ihr 20mins. Find
His speed average find-
Answer:
1.05km/min
Step-by-step explanation:
[tex]Distance = 84 km\\\\Time = 1hr 20 min= 80minuttes\\\\Average \: Speed = \frac{Distance}{Time} \\\\A.S =\frac{84}{80} \\\\A.S = 1.05km/min[/tex]
we, know that
➺ Average Speed = Total Distance/Total Time taken
where,
Total Distance = 84km = 84000mTotal time = 1hr20mins = 4800sec♛ Substituting these values ♛
◗Average Speed = Distance/Time
◗Average Speed = 84000/4800
◗Average Speed = 840/48
◗Average Speed = 70/4
◗Average Speed = 17.5m/s
Hence, Average Speed of the man is 17.5m/sA senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees how many months each worked for the firm before receiving a raise in salary. The sample information is submitted to Minitab with the following results:
Analysis of Variance
Source df SS MS F P
Factor 3 28.17 9.39 5.37 0.010
Error 15 26.26 1.75
Total 18 54.43
A) Reject H0 if F >
B) For the 0.05 level of significance, is there a difference in the mean difference in the mean number of months before a raise was anted among the four CPA firms?
Answer:
A) Reject H0 if F > 5.417
B) we fail to reject the null hypothesis and conclude that we do not have sufficient evidence at 0.05 level of significance to support the claim that there is a difference in the mean number of months before a raise was granted among the four CPA firms
Step-by-step explanation:
A) From the table, we can see that we have df1 = 3 and df2 = 15. And we are given a significance level of α = 0.01
We are also given f-value of 1.75
Thus,from the f-distribution table attached at significance level of α = 0.01 and df1 = 3 and df2 = 15, we have;
F-critical = 5.417
Normally, we reject H0 if F > 5.417
But in this case, F is 1.75 < 5.417 and so we conclude that we do not reject H0 at the 0.01 level of significance
B) for 0.05 level of significance, df1 = 3 and df2 = 15, from the 2nd table attached, we have;
F-critical = 3.2874
Again the f-value is less than this critical one.
Thus, we fail to reject the null hypothesis and conclude that we do not have sufficient evidence at 0.05 level of significance to support the claim that there is a difference in the mean number of months before a raise was granted among the four CPA firms
Please answer my question
Step-by-step explanation:
The inequality shows by line is
i) 1<=x<=6
OR,
x is an positive integer.
michaela has h hair ties. michaela's sister has triple the number of hair ties that michaela has. choose the expression that shows how many hair bows michaela's sister has
Answer:
[tex]S = 3 h[/tex]
Step-by-step explanation:
Let M represent Michaela hair tier and S represents Michaela sister's
Given
M = h
S = Triple of M
Required
Determine an expression for S
From the given parameters, we have that;
S = Triple of M
Mathematically, this implies;
[tex]S = 3 * M[/tex]
Substitute h for M
[tex]S = 3 * h[/tex]
[tex]S = 3 h[/tex]
Hence, the expression for Michaela sister' is [tex]S = 3 h[/tex]
identify(describe) each part of the ellipse as labeled by a letter
Answer: see below
Step-by-step explanation:
A) y has the smaller radius so this is the Minor Axis
B) y has the smaller radius so these are the CoVertices
C) x has the bigger radius so these are the Vertices
D) This is the Center of the ellipse.
F & G) These are the Foci (plural for Focus)
H) x has the bigger radius so this is the Major Axis
A chicken soup recipe calls for 13 cups of chicken stock how much is this in quarts
Answer:
3.25 US Quarts
Step-by-step explanation:
Describe the transformation from triangle DEF to triangle D′E′F′ in the figure. Question 17 options:
A) Transformation down 8 units and right 6 units
B) Rotation 90° counterclockwise about the origin
C) Reflection about the origin
D) Rotation 90° clockwise about the origin
Answer:
C) Reflection about the origin
Step-by-step explanation:
DE points to the right and slightly down. D'E' points to the left and slightly up. The segments are parallel, not perpendicular, so represent a rotation of 180°, not 90°. If the figure were subject only to translation, these segments would point in the same direction.
The transformation is a reflection about the origin (C). (This is equivalent to a rotation of 180°.)
PLEASE PLEASE PLEASE HELP ME ANSWER THIS QUESTION QUICK!! The picture of the question is down below.
Answer:
1. 2 -- x-axis represents time, each vertical line represents 2 hours. (8 lines, 16 hours total)
2. 10 --- y-axis represents number of customers. (5 lines, 52 customers total. points go just above 5th line)
hope this helps :)
how to write this in number form The difference of 9 and the square of a number
Answer:
9-x^2
Step-by-step explanation:
The difference of means subtracting. the first number is 9 and the second is x^2, so you get 9-x^2
Which ordered pair is a solution to the following linear system? y = x y = –x
Answer:
(2,2) (-1,-1)
Step-by-step explanation
i think this is there answer im sorry if im wrong
Find the zeros of the quadratic function f(x) = 1/2(x- 7)^2 – 8
Answer:
x = 11 or 3
Step-by-step explanation:
f(x) = (1/2)(x- 7)² – 8
to find the zeros, we equate f(x) = 0
f(x) = 0
(1/2)(x- 7)² – 8 = 0 (add 8 to both sides)
(1/2)(x- 7)² = 8 (multiply both sides by 2)
(x- 7)² = (8)(2)
(x- 7)² = 16
x-7 = ±√16
x-7 = ±4
hence,
x - 7 = 4
x = 4 + 7
x = 11
or
x - 7 = -4
x = -4 +7
x = 3
Answer:
x = 11 or 3
Step-by-step explanation:
I confirmed the answer in grandpoint.
The Triangle shown below has an area of 12 Units^2.
Find X
10
6
Answer:
4
Step-by-step explanation:
I got it right on Khan
The value of x is 4.
What is Triangle?A triangle is a polygon in two dimensional geometry. I has three sides and three angles along with three vertices.
Area of a triangle = [tex]\frac{1}{2}[/tex] × b × h
where b is the base of the triangle and h is the length of height of the triangle.
The given triangle is an obtuse triangle which has an angle equal to greater than 90 degrees. So the height of the triangle is found by drawing a perpendicular line from the base to the opposite vertex.
Here, height = x and base length = 6
Area = 12 units²
[tex]\frac{1}{2}[/tex] × 6 × h = 12
6 × h = 12 × 2
6 × h = 24
h = 24/6
h = 4 units.
Hence the length of the height which is x is 4 units.
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Find a linear inequality with the following solution set. Each grid line represents one unit. (Give your answer in the form ax+by+c>0 or ax+by+c>=0 where a, b, and c are integers with no common factor greater than 1.) Help please!! I have to finish it by tonight!! Thank you!!
Answer:
Below
Step-by-step explanation:
First let's find the equation of the doted line.
Notice that the line is crossing these points:
● (0,1)
● (1,2)
The equation of the line has the following form:
● y = ax+c
C is the y-intercept wich is given by the output of 0.
Notice that the output of 0 is 1.
● y = ax+1
● a = rise / run = (2-1)/(1-0) = 1
So y = x + 1
■■■■■■■■■■■■■■■■■■■■■■■■■■
Notice that the line divide the plan into 2 areas.
● y > x+1 => x+1-y < 0
● y < x+1 => x+1 -y > 0
To khwo wich one that represent the shaded area take a point and replace x and y by its coordinates
● (-1,2)
● -1+1-2 = 0-2 = -2
It is a negative value so the inequality is
● y > x+1
Which option is correct and how would one solve for it?
Answer:
-3/5, -1, -5/3, -3, -7
Step-by-step explanation:
Let x go from 1 to 5
x =1 (1+2)/(1-6) = 3/-5 = -3/5
x =2 (2+2)/(2-6) = 4/-4 = -1
x =3 (3+2)/(3-6) = 5/-3 = -5/3
x =4 (4+2)/(4-6) = 6/-2 = -3
x =5 (5+2)/(5-6) = 7/-1 = -7
