Car Make and Model that i choose is Toyota RAV4
The Cost of this car as of today is about $27,000
What is the Exponential about?To know the value of car after one year will be:
20% of $27,000
= $5,400.
So the car value will be:
$27,000 - $5,400
= $21,600 after year 1
3. Value of car after second year of ownership:
15% of $27,000
= $4,050.
So, the car value will be:
$21,600 - $4,050
= $17,550 after year 2.
4 The Exponential Function if the car continues to decrease in value by 15% each year will be;
V(x) = 27,000 x (0.85)ˣ
V(5) = 27,000 x (0.85)⁵
= 27,000 x 0.44370
= $11979.9
Therefore, the value of the car after owning it for five years is $11979.9
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See text below
Car Value: Exponential
1. Pick a car that you would be interested in buying someday. Research the cost of buying this car.
Car Make and Model:
Cost of this car as of today:
2. Cars depreciate in value over time, which means they lose a certain percent of their value each year. A car typically decreases in value by 20% within the first year. If the car you picked above decreased in value by 20% in its first year, how much will it be worth one year after owning it?
Value of car after one year:
3. Each year after the first year, a car typically decreases around 15% in value. How much will your car be worth after owning it for 2 years?
Value of car after second year of ownership:
4. If your car continues to decrease in value by 15% each year, write the equation of the exponential function that models its value x years after you purchased it.
Exponential Function:
Use your exponential function to calculate the predicted value of your car after you own it for five years.
Value after five years of ownership:
Player I has two coins. One is fair (probability 1 2 of heads and 1 2 tails) and the other is biased with probability 1 3 heads and 2 3 tails. Both players know these probabilities. Player I knows which coin is fair and which is biased. He selects one of the coins and tosses it. The outcome of the toss is announced to II. Then II must guess whether I chose the fair or biased coin. If II is correct there is no payoff. If II is incorrect, she loses 1.
Required:
Draw the game tree. Be sure to indicate the information sets.
Answer:
Hi please make me brainly
Step-by-step explanation:
please
PLEASE HELP ON QUESTION ASAP! 30PTS!
I WILL ALSO GIVE YOU A THANKS RATE YOU FIVE STARS AND MAYBE EVEN BRAINLIEST any silly answeres will be reported / deleted
Hiba needs 40g sugar to make 15 biscuits. she also needs three times as much flour as sugar . Hiba is going to make 60 biscuits . work out the amount of flour she needs .
Determine whether each percent of change is a percent of increase or a percent of decrease. Then find the percent of change
Answer:
12 percent for 1B
26.2 percent for 1D
Step-by-step explanation:
A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4}
{5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18}
{5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13}
{3, 5, 10, 11, 13, 7, 18, 14, 4}
The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)
The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.
The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.
Therefore, the data set that is represented in the histogram is:
{3, 7, 4}
None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)
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6) Turn a mixed number into an improper fraction.
2 3/5= and 3 8/10
Can anyone help?
whats is the spread of 4, 6, 7, 9, 9
So, the spread of the numbers 4, 6, 7, 9, 9 is 5.
What is spread?Spread can refer to different things depending on the context. Here are a few examples:
In finance, spread refers to the difference between the bid price and the ask price of a security or asset. The bid price is the highest price a buyer is willing to pay for a security, while the ask price is the lowest price a seller is willing to accept. The spread represents the cost of trading that security or asset and is typically measured in basis points (hundredths of a percentage point).
In sports betting, spread refers to the point spread or handicap that is assigned to a team in order to make the betting odds more even. For example, if a football team is favored to win by 7 points, they may be assigned a -7-point spread, meaning they would have to win by more than 7 points for a bet on them to be successful.
In epidemiology, spread refers to the transmission of a disease from one person to another. The spread of a disease can be influenced by a variety of factors, including the infectiousness of the disease, the proximity and frequency of contact between people, and the effectiveness of measures to prevent transmission (such as vaccines or masks).
In cooking, spread can refer to a variety of ingredients that are used to spread on bread or crackers, such as butter, jam, or peanut butter.
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How much work is done when a hoist lifts a 200-kg rock to a height of 3 m?
Answer:
5880 joulesStep-by-step explanation:
Given data
mass of rock, m= 200 kg
height/distance = 3 m
Now we know that the expression for work done is
w= force* distance
and also we need to find the force exerted by mass of rock
F= mg
Substituting our data and solving for force we have (assuming g= 9.81 m/s^2)
Force= 200*9.81
Force= 1962 N
Now we can find the work done
work done= 1962*3
work done= 5880 joules
The work done should be 5880 joules
Calculation of the work done:Since there is the mass of the rock is 200 kg
And, the height is 3 m
Now we know that
work done = force (distance)
Also,
F= mg
= 200(9.81)
= 1962 N
Now the work done is
= 1962(3)
= 5880 joules
Hence, The work done should be 5880 joules
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Write an equation and solve
One health club charges a $60 sign up fee and $20 a month. Another club charges $15 sign up and and $35 a month. For what number of months is the cost of the clubs equal?
Answer:
3 months
Step-by-step explanation:
60 + 3(20) = 120
15 + 3(35) = 120
3 x 20 = 60 + ( 60 ) = 120
3 x 35 = 105 + ( 15 ) = 120
60 + 20x = y
15 + 35x = y
60 + 20x = 35x + 15
-15
45 + 20x = 35x
-20x
45 = 15x
45/15
x=3
x is the amount of months
Which expression is equivalent to 5(2+7)
A. 2(5+7)
B. 2+7(5)
C. 5(2)+7
D.5(2)+5(7)
Answer:
D
Step-by-step explanation:
So 5(2+7) equals 45
A. 2(5+7)=24
B. 2+7(5)=37
C. 5(2)+7=17
D.5(2)+5(7)=45
Only D equals 45
Hope I helped :D
“solve the equation by graphing. check your solution” only 5 and 6 need to be done!! attach picture with graph please xoxoxo i will mark brainliest if done like said
The solutions for the given equations are x=2 and x=-4
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Fo question 5.
1/2x-2=9-5x
Take the variable terms on one sides\
x/2+5x=11
x+10x=22
11x=22
Divide both sides by 11
x=22/11
x=2
For question 6:
-5+x/4=3x+6
-20+x=12x+24
-20-24=12x-x
-44=11x
x=-4
Hence, the solutions for the given equations are x=2 and x=-4
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Write 69200000 in scientific notation
69200000 in scientific notation is 6.92 × 10⁷.
How to represent number in scientific notation?Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.
Scientific Notation is a special way of writing numbers:
For example 800 is written as 8 × 10² in Scientific Notation.
Therefore, let's write the scientific notation of the number 69200000.
Hence,
69, 200, 000 = 6.92 × 10⁷
The logic is that we will count backwards until we meet the last number. Since we counted towards the left side, the exponent will be positive.
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Solve for the Value of R
Answer:
whats the question
What is the equation for this line?
y=2/3x-4 is the equation of the line where 2/3 is the slope.
We have to find the equation of line which is passing through points (0, -4) and (3, -2).
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁.
Slope = -2+4/3-0
=2/3
Now let us find the y intercept.
-4=2/3(0)+b
b=-4
The equation of line is y=2/3x-4.
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I NEES HELP STATISTICS
In the middle of a ballroom sits a circular dance floor. This dance floor has a radius of 6 meters. How much area do dancers in the ballroom have to move around on? Round your answer to the nearest tenths place.
The dancers in the ballroom have approximately 113.1 square meters of area to move around on.
The area of a circle is given by the formula A = π\(r^2\), where A is the area and r is the radius. In this case, the radius of the dance floor is 6 meters, so we can plug that into the formula:
A = π\((6)^2\)
Simplifying the expression, we get:
A = 36π
To find the approximate area, we can use 3.14 as an approximation for π and calculate:
A ≈ 113.1 square meters
Rounding to the nearest tenth, we get:
A ≈ 113.1 ≈ 113.1 square meters
Therefore, the dancers in the ballroom have approximately 113.1 square meters of area to move around on.
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The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in the second quarter of 2014. Set up a system and then
solve using technology. HINT [See the technology note accompanying Example 1.]
Airline
United
Continental
14.9
American JetBlue Southwest
Cost (c)
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 160 empty seats, costing them a
total of $68,250. If United Continental had three times as many empty seats as American, how many empty seats did each of these three airlines carry on its
flight?
United Continental
American
Southwest
14.6
empty seats
empty seats
empty seats
11.9
12.4
The Empty seats according to the equation will be:
United Continental = 90
American airlines = 30
Southwest airlines = 40
How to explain the equationLet the seats in American airlines = x
so according to give condition The United continental airlines have 3x seats. and the seats in Southwest airlines = y and Combined empty seat in American, United continental and Southwest airlines = 160
4x + y = 160
59.3x + 12.4y = 2275
After solving, x = 30 and y = 40
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Which measurements can create more than one triangle? three angles measuring 75 degrees, 45 degrees, and 60 degrees three sides measuring 7 m, 10 m, and 12 m three angles measuring 40 degrees, 50 degrees, and 60 degrees three sides measuring 3 cm, 4 cm, and 5 cm
We can see here that the measurements that can create more than one triangle is option A. The one that refers to the three angles measuring 75 degrees...
What is triangle?Triangles are known to be three-sided polygons having three vertices. It is one of the basic geometric forms. The name for a triangle with vertices A, B, and C is triangle ABC.
We must think about the triangle inequality theorem, which states that the total of the lengths of any two sides of a triangle must be greater than the length of the remaining side, to figure out which measurements can produce more than one triangle.
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In the triangle below, with right angle ZE, suppose that m ZD= (3x+38) and mZF=(4x+3)°.
Find the degree measure of each angle in the triangle.
HURRY PLSSS
Answer:
\(for \: a \: right \: angled \: triangle \\ (3x + 38) + (4x + 3) + 90 = 180 \\ (4 + 3)x = 180 - (90 + 38 + 3) \\ 7x = 49 \\ x = 7 \\ \\ mZD=(3x + 38) \\ = (3 \times 7) + 38\\ mZD = 59° \\ \\ mZF=(4x+3)° \\ = (4 \times 7) + 3 \\ mZF = 31°\)
(−1)^3⋅(−1)^2
simplify
I need the answer:’)
Answer:
its D
Step-by-step explanation:
calculator
A 12 cm by 12 cm square piece of paper has 5 holes punched out of it. 4 of the holes are circles of radius 3 cm and 1 of the holes is a circle of radius 1 cm. The paper and punched holes can be visually interpreted as below. Determine the area of paper remaining after the holes have been punched out.
5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².
Firstly, we will calculate the area of the square of paper in which the holes are punched.
Side of square = 12 cm
Area of square = side²
= (12) ²
= 144 cm²
Now, we will calculate the area of the bigger punch holes
Radius of big punch hole = 3 cm
Area of 1 big punch = π (radius) ²
= 22/7 × (3)²
22 / 7 × 9
= 198 / 7 cm²
Area of 4 punches = 4 × 198/7
= 792/7 cm²
Now, we will calculate the area of smaller punch whose radius is 1cm
Area = 22/7 × 1²
= 22/7 cm²
Now, we will calculate the total area covered by circles
Total area covered by circles = area of small punch + area of 4 big punch
= 22/7 + 792/7
= 814 /7 cm²
Remaining area = area of square - area of circles
= 144 - 814/7
= (1008 - 814) / 7
= 194 / 7
= 27.714 cm²
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16. The table below shows the population of California from 2010 to 2019.
The Solution:
The Regression Model that best fits the data given in the question is
\(P(t)=\frac{a}{1+e^{-bt}}\)From the Desmos plotter analysis attached above, we have that
\(\begin{gathered} a=74.907\approx74.91 \\ b=0.01397\approx0.01 \end{gathered}\)So, by substituting the values of the parameters, we get the required logistic Regression Model is given below:
\(P(t)=\frac{74.91}{1+e^{-0.01t}}\)b. The model predicts that the population of California in 2025 will be:
\(\begin{gathered} \text{From 2010 to 2025 is 25 years.} \\ So,\text{ t=25 years.} \\ S\text{ubstituting 25 for t in the regression model, we get} \end{gathered}\)\(P(t)=\frac{74.91}{1+e^{-0.01(25)}}=\frac{74.91}{1+0.77088}=\frac{74.91}{1.77088}=42.1127\approx42.1\text{ million people.}\)So, the population of California in 2025 will be 42.1 million people.
c. To find when the model predicts that the population of California will be 40 million,
we shall substitute 40 (in millions) for P in the model, and find t as below:
\(40=\frac{74.91}{1+e^{-0.01t}}\)Cross multiplying, we get
\(\begin{gathered} 40(1+e^{-0.01t})=74.91 \\ \text{Dividing both sides by 40},\text{ we have} \\ 1+e^{-0.01t}=\frac{74.91}{40} \\ \\ 1+e^{-0.01t}=1.87275 \\ e^{-0.01t}=1.87275-1 \\ e^{-0.01t}=0.87275 \end{gathered}\)Taking the ln of both sides, we get
\(\begin{gathered} \ln e^{-0.01t}=\ln 0.87275 \\ -0.01t=\ln 0.87275 \\ -0.01t=-0.136106 \\ \text{ Dividing both sides by -0.01, we get} \\ t=\frac{-0.136106}{-0.01}=13.61\approx14\text{ years} \end{gathered}\)So, 14 years from 2010 will be in the year 2024
d. According to the model, the carrying capacity for California's capacity is 74.9 million people.
The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1400. If the monthly interest rate is 1.3% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent. Do not use commas to separate numbers or dollar signs. For example, $5,678.00 should be entered as 5678.00.
9514 1404 393
Answer:
$1409.10
Step-by-step explanation:
The interest is added to the unpaid balance to obtain the total balance.
$700×1.3% + 1400 = $9.10 +1400 = $1409.10
What three numbers add up to 57, with the first number being 12
The answer is 12, 15, 30
Which pair of expressions is equivalent? ОА. A. 4x – 12 and 3(x – 3) B. 2(x + 3) + 1 and 2x + 6 C. 11x – 4 + 2x and 13x – 4 D. X-5 – 10x and -11% - 5
Answer:
\(11x - 4 + 2x\) and \(13x - 4\)
Step-by-step explanation:
Given
Options A to D
Required
Determine the equivalent pair
To do this, we solve each options one after the other.
\((a):\\)
\(4x - 12\) and \(3(x - 3)\)
Open bracket
\(4x - 12\) and \(3 * x - 3 * 3\)
\(4x - 12\) and \(3x - 9\)
The above pairs are not equivalent
\((b):\\)
\(2(x + 3) + 1\) and \(2x + 6\)
Open bracket
\(2x + 2*3 + 1\) and \(2x + 6\)
\(2x + 6 + 1\) and \(2x + 6\)
\(2x + 7\) and \(2x + 6\)
The above pairs are not equivalent
\((c):\)
\(11x - 4 + 2x\) and \(13x - 4\)
Collect Like Terms
\(11x + 2x - 4\) and \(13 - x\)
\(13x - 4\) and \(13 - x\)
The above pairs are equivalent
which of the binomials below is a factor of this trinomial 8x^2+10x-3
Answer:
(4x−1) (2x+3)
Slope is 1 and (-2,1) is on the line
Answer:
y = x + 3
Step-by-step explanation:
Write the equation?
Use:
m (slope) = 1
x = -2
y = 1
y=mx + b
1 = 1(-2) +B
1 = -2 + b Add 2 to both sides
3 = b
y = mx + b
y = 1x + 3
y = x + 3
Which of the following statements must be true about this diagram? Check
all that apply.
A. mz2+ mz3 = mz4
B. mz1+ m2 2 = m/3
C. m23 is greater than m<2
D. m24 is greater than mz1
E. mz1+mz2 = mz4
F. mz4 is greater than m<2
Answer:
D, E, F is the answer.
Step-by-step explanation:
From the diagram:-
m∠ 4 is greater than m∠ 1m∠ 4 is greater than m∠ 2m∠ 1 + m∠ 2 = m∠ 4Therefore, D, E, F.
-------------------------------
Find the value of (27) to the - 2/3
Answer: Yes. For example: (27)^2/3 would be 3^2 which = 9.
Step-by-step explanation: Hopefully this help :D ask for more help if you need!
Suppose the original quantity is $30 and the new quantity is $39. Estimate the percent change. Is this an example of a percent increase or a percent decrease?
Answer:
Step-by-step explanation:original quantity = $30
New quantity = $39
increase amount = 39-30 = 9
Percent change:
30 x = 9
x = 9/30
x = 0.3
0.3x 100 = 30%
Since the quantity grows, it's a percent increase.