Answer to the 1st question: 8 years
Answer to the 2nd question: The year 2022
=======================================================
Further explanation:
x = number of years after 2008
y = average price of a new car
The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.
The y intercept is b = 30100 as this is the price in 2008.
This leads us to go from y = mx+b to y = 1250x+30100
Plug in x = 0 and you should get y = 30100.
Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.
-----------------
Next, we plug in y = 47600 and solve for x.
y = 1250x+30100
47600 = 1250x+30100
47600-30100 = 1250x
17500 = 1250x
1250x = 17500
x = 17500/1250
x = 14
This means 14 years after the year 2008 is when the average new car price will be $47,600.
2008+14 = 2022
2022-2014 = 8
Therefore, 8 years after 2014 (aka the the year 2022) is when the new car average price will be $47,600.
Question
The time in minutes) for each of Ahmed's phone calls this week are: 9, 15, 5, 7, 9, 12, 11, 4. Which of the following
statements is true?
The mode is greater than 7.
The mean is less than 8.
The range is less than 10.
The median is greater than 10.
Ken built a square fence around his yard. He planted 4 trees on each side of the fence. What is the least number of trees Ken planted?
A. 4
B. 12
C. 19
D. 20
Answer:
12
Step-by-step explanation:
edge 1045
Which of the following is a valid application of the distributive property? A. 3. (4 - 5) = (3.4) - (3.5) B. 3 + (4 - 5) = (3 + 4) - (3 + 5) O Both A and B O A only O Neither A nor B B only
Answer:
The answer is A only.
Step-by-step explanation:
Hope that helps!
Answer:
A only.
Step-by-step explanation:
Hey! can you help me with question number 2? I am really confused about it
During an experiment, the temperature of a solution changes from 945°F to 1714°F.
What is the percent of increase in the temperature of the solution?
Enter your answer in the box as a percent rounded to the nearest hundredth.
%
We have that the percent of increase in the temperature is mathematically given as
P=81.376%
The percent of increase in the temperature
Question Parameters:
During an experiment, the temperature of a solution changes from 945°F to 1714°F.
Generally the equation for the Rise in temperature is is mathematically given as
945=1714*x
x=0.55
Therefore
55% of 1714 gives 945
Hence, The parentage increase is
P=(1714-945)/945*100
P=81.376%
For more information on Temperature
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Answer:
the answer is 76.02
Step-by-step explanation: K12 orva 7th grade 2.04 Quiz: Percent Increase or Decrease
Which statement is true about the pattern above (Look at picture)
Answer:
C. the next fraction is 243/324
Step-by-step explanation:
In A, we can see that 12/16 does not fall under the sequence.
In B, all the values in the sequence is 0.75.
In C, the next fraction is determined by multiplying numerator and denominator by 3. therefor the correct solution is found.
In D, its wrong and does not match.
Check option C
243/324=0.75Hence option C is correct as all are equal in this sequence
What is 4.905 written in expanded form using a unit fraction
Answer:
if it wants reduced it is 981/200
if it doesn't mater this is not reduced 4905/1000
The number 4.905 can be written as in the expanded form 4x10⁰ + 9x10⁻¹ + 0.0x10⁻² + 5x10⁻³.
What is expanded form?The expanding form can be used to indicate the value of each digit in a number in arithmetic. Numbers that are expressed as the sum of each digit multiplied by its place value are known as expanded numbers.
It is given that:
The number is 4.905
The number can be written in the expanded form as:
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
4.905 = 4x10⁰ + 9x10⁻¹ + 0.0x10⁻² + 5x10⁻³
Thus, the number 4.905 can be written as in the expanded form 4x10⁰ + 9x10⁻¹ + 0.0x10⁻² + 5x10⁻³.
Learn more about the expanded form here:
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what is the answer to this one 20x+12≥14x+30
x≤3
x≤7
x≥3
x≥7
Answer:
X≥3
Explanation:
20х+12≥14х+30
20Х+12-14Х≥30
20х-14х≥30-12
6Х≥30-12
6х≥18
х≥3
What is the slope of the line on the graph below?
Answer:
Two ways to get the solution:
slope = rise
run
slope = 1
3
or
slope = y2- y1
x2 - x1
slope = -4 - (-5)
3 - 0
slope = 1
3
it was observed that 60% read
magazine A, 50% magazine B, 50% magazine C, 30% A and B, 20% B and C, 30% C and
A and 10% all the threes. In the fitness of the thing, state (i) what percentage read exactly
two magazines ? (ii) what percentage do not read any of the threes ?
Answer:
je
Step-by-step explanation:
suis suis pasforet en anglais
We're dealing with percentage. hence, our universal set: U=100%.
Let:A = set of those that read magazine A
B = set of those that read magazine B
C = set of those that read magazine C
(i) we are looking for n{(A n B) u (B n C)}
so, n{(A n B) u (B n C)} = n(A n B) + n(B n C) -n(A n B n C)
n{(A n B) u (B n C)} = 20% + 30% - 10%
: n{(A n B) u (B n C)} = 40%
(ii) We're looking for {A' n B' n C'}
{A' n B' n C'} = n(U) - n(A u B u C)
{A' n B' n C'} = 100% - n(A u B u C)
n(A u B u C) = n(A) + n(B) + n(C) - n{(A n B) - n(A n C) -n(B n C) + n(A n B n C)
n(A u B u C) = 60% + 50% + 50% -30% - 30% - 20% + 10%
n(A u B u C) = 90%
however, {A' n B' n C'} = 100% - n(A u B u C)
: {A' n B' n C'} = 100% - 90%
{A' n B' n C'} = 10%
let me know if you think there's a reason to doubt my answer.
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 9, 6, ...
Answer: Arithmetic and 3
Step-by-step explanation:
12 - 9 = 3 9 - 6 = 3 The common difference is equal and is three and so it is an arithmetic sequence
12/9 = 4/3 9/6 = 3/2 The ratio is not equal so this is not a geometric sequence
-6a+12=42. How do we do this equation
Answer: -5
Step-by-step explanation:
You have to find a. Here's some steps you can take.
1.) Subtract 12 on the left side of the equal sign to get -6a by itself. When subtracting 12 you must subtract 12 from 42 as well.
2.) Your new equation would be -6a = 30
3.) Now you need to get a by itself. How do we do that? By dividing -6a by -6. REMEMBER: You must also do the same to the right side of the equal sign which is 30 (30/-6)
4.) Your problem should end up looking like this: a = -5
Given g(x) = (x+2) f(x) = 3x+1. find (Fog)(x)
Answer:
they ask for composite functions better do online search
here you go
= 3(x+2)+1
Check Understanding
Shel has 11/8 pizzas to sell. How much pizza does he have? Write the mixed number
Answer:
1 3/8
Step-by-step explanation:
There 11 is greater than 8, so there is one whole pizza. 11-8=3 so there are 3 more out of those 8.
shoot me a comment if there are more questions, have a good day :)
2. Lawn tickets cost $30 each and seat tickets cost $50
each. The organizers want to make at least $14,000
from ticket sales.
If you know that exactly 200 seat tickets were sold,
what can you say about the number of lawn tickets?
In order to complete the target the person must have to sell 133 lawn tickets and 200 seat tickets.
What are arithmetic operations?The study of numbers and their operations, which are essential to all other branches of mathematics, falls under the umbrella of arithmetic operations. The four fundamental operations in these systems are addition, subtraction, multiplication, and division.
It is given that, tickets for the lawn cost $30 apiece, while those for seats cost $50 each. At least $14,000 is what the organizers want to make from ticket sales.
The amount earned from seat tickets,
=$50 × 200
=10000
The amount needed to complete the target,
=$14,000 - $10,000
=$4,000
If they earned $4,000 by selling lawn tickets. Since lawn tickets were $30, the formula to determine how many were sold is $4000 divided by $30.The number of lawn tickets is obtained as,
=4000/30
=133
Thus, the number of lawn tickets will be 200.
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Mr.kellsons storage closet is 3 ft long, 3 ft wide. and 7 ft high. Can she fit 67 that each have volume of 1 cubic foot in her closet. Explain your answer
Calculate the probability of randomly selecting a vehicle with an engine between than 3.1 L and 4.2 L.
Using the normal distribution, it is found that there is a 0.7452 = 74.52% probability of randomly selecting a vehicle with an engine between than 3.1 L and 4.2 L.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.Researching the problem on the internet, it is found that:
The mean is [tex]\mu = 3.59804[/tex].The standard deviation is [tex]\sigma = 0.47986[/tex].The probability is the p-value of Z when X = 4.2 subtracted by the p-value of Z when X = 3.1, hence:
X = 4.2
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4.2 - 3.59804}{0.47986}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
X = 3.1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.1 - 3.59804}{0.47986}[/tex]
[tex]Z = -1.04[/tex]
[tex]Z = -1.04[/tex] has a p-value of 0.1492.
0.8944 - 0.1492 = 0.7452.
0.7452 = 74.52% probability of randomly selecting a vehicle with an engine between than 3.1 L and 4.2 L.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Select the correct answer from each drop-down menu.
Martin purchased a condo below market value in 2001. He pald $92,500 for the condo even though the market value of the condo
higher. In 2014, Martin transferred to another city for work and had to sell his condo. The market value of his condo Increased ov
shown in the graph below, where the yaxis represents the market value of the condo, in dollars, and the x-axis represents the nu
since 2001.
Market Value of Martin's Condo
y
200,000
190,000
180,000
170,000
ue ($)
160,000
The linear function that represent the value of Martin condo is y = 2000x + 92500
Linear equation
A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the y intercept.
Let y represent the market value of the condo after x years since 2001.
In 2001, the condo was $92500, hence b = 92500.
Let us assume the value increased by $2000 per year, hence:
The linear function that represent the value of Martin condo is y = 2000x + 92500
Find out more on Linear equation at: https://brainly.com/question/14323743
100k value
5% per year
NOT!!! 2001
NOT!!!2014
Find the solution to the system of equations by substitution.
2x - 2y = - 6
y= 2x
Answer:
x = -2
y = 2
Step-by-step explanation:
Take the value of x from the first equation: x = 2 − 2 y ( 1 ) , and substitute for x into the second: y = 2 ( 2 − 2 y ) + 6 solve for y ; y = 4 − 4 y + 6 y = 10 5 = 2 Substitute back into ( 1 ) and find x : x = 2 − 4 = − 2
Solve
[tex]2 \times 2(3 \times 2) \\ hurry \: first \: person \: brainest \\ thank \: you[/tex]
Pls
hurry
Thank you
Answer:
24
Step-by-step explanation:
2×2(3×2)
2×2(6)
2×12
24
round 5,565 to the hundreds
Answer:
5,600
Step-by-step explanation:
rounding by the nearest hundred would mean rounding up or down in the hundreds based off of thr tens. If the tens are above 50, you round up. if they are below 50, you round down
Answer:
The hundred place here is the the 2nd 5 to the left.
Rounding is when it’s 5 or above you go up, 4 or below you stay.
So 5565
In this case we look at the tenth place number which is 6 and since it’s 5 or above the hundreths place “5” goes up 1. Everything else below under th place turns 0.
So
5,600
Please help me I don’t understand at all
Answer:
p(n) = 4*(1-0.06)^n
Answer:
p(n)=4(0.94)
Step-by-step explanation: 100%-6%=94%=0.94
Hope this helps
Mrs. Moore has 91 pieces of candy to split among s students. Which expression shows how many pieces of candy each student will receive?
A. 91 - s
B. 91 × s
C. 91 ÷ s
D. 91 + s
Another way to say that someone is "splitting between" themselves and someone else is "dividing amongst" or "dividing between".
Answer:
C. 91 ÷ s
Step-by-step explanation:
Split among = ÷
Hence, the Answer = 91 ÷ s
~Lenvy~
Joseph has $620 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $440.12.
• He buys 2 bicycle reflectors for $12.86 each and a pair of bike gloves for $19.26.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $53.96 each.
Answer:
https://brainly.com/question/24093265
Step-by-step explanation will be provided in the link above!
round to the nearest whole %
1. What is the relative frequency for middle school students whose favorite sport is baseball?
2. What is the relative frequency for middle school students whose favorite sport is basketball?
3.What is the relative frequency for middle school students whose favorite sport is football?
4.What is the relative frequency for high school students whose favorite sport is baseball?
5.What is the relative frequency for high school students whose favorite sport is basketball?
6.What is the relative frequency for high school students whose favorite sport is football?
The relative frequency for middle school students whose favourite sport is baseball is 27%.
The relative frequency for middle school students whose favorite sport is basketball is 31%.
The relative frequency for middle school students whose favorite sport is football is 42%.
The relative frequency for high school students whose favorite sport is baseball is 44%.
The relative frequency for high school students whose favorite sport is basketball is 31%
The relative frequency for high school students whose favorite sport is football is 25%
What is relative frequency?
Relative frequency measures how often a value appears relative to the sum of the total values.
The relative frequency for middle school students whose favourite sport is baseball = 13/48 = 27%
The relative frequency for middle school students whose favorite sport is basketball = 15 / 48 = 31%
The relative frequency for middle school students whose favorite sport is football = 20 / 48 = 42%
The relative frequency for high school students whose favorite sport is baseball = 23 / 52 = 44%
The relative frequency for high school students whose favorite sport is basketball = 16 / 52 = 31%
The relative frequency for high school students whose favorite sport is football = 13 / 52 = 25%
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This is a question for those of you interested in mathematics or are taking proof classes: when will you know when you are writing too much or too little in a proof? I'm taking a proof class right now, and my professor doesn't do a good job of explaining this to me and just shows/implies the right answer.
I don't think there's a set limit either way. As long as you make sure to discuss all the relevant key ideas and theorems, then you have formed a sufficient proof. Try to be as direct as possible and it doesn't hurt to take shortcuts now and then. Remember to always clearly state what the goal of the proof is, and set up the boundaries needed (eg: x is a nonzero real number). Also, make sure you connect the "given" to the thing to be proved. I've noticed a lot of students forget to do this.
If possible, try to explain the concept to someone outside the class so you can try to get a better handle on the proof. At the same time, you don't want to spend too much time going over the very fine details. Again it's all about balance in my mind.
A pack of 8 batteries cost 4.72!What is cost per battery?
Please help > p finance
photo attached.
Answer:
A 0.00525
Step-by-step explanation:
Interest rate has to be a decimal.
To convert percent to a decimal, divide by 100:
6.3% = 6.3/100 = 0.063
For the monthly rate, divide 0.063 by 12 (since there are 12 months in a year):
0.063/12 = 0.00525
Therefore, r = 0.00525
Question 2
Screenshot
Answer:
I think it's the second one.
35 POINTS ALOT!
Describe your strategy to calculate the area of the shaded region. (5 pts)
b. Calculate the area of the shaded region. (5 pts)
Answer:
22.75 m^2
Step-by-step explanation:
Strategy: Find the area of the 2 triangles by finding the height of both of them and using the triangle formula.
Calculation:
(assuming both triangles are congruent)
7*((11-4.5)/2)/2*2
=3.25*7
=22.75
Answer:
22.75m^2
Step-by-step explanation:
A) area of rectangle - two trapezium
B) the way is given in image form and the final answer is= 77- 54.25 = 22.75m^2