Answer:
Angle X=30°
2x=60°
Step-by-step explanation:
X+2X=90°
3x=90°
X=90/3
X=30°
Angle X=30°
2x=60°
Select all x values that are solutions to the equation
Answer:
The answers are 3 and 5
The only thing u had to do is
x-5=0
x=5
7x-21=0
7x=21
x=3
ASAP HELP NE PLEASE PLEASE PLEASE ASAP I WILL GIVE 100 points
1. A new compact has a sticker price of $14500. Options add another $982. Destination charges are $592. Dealer preparation is 5% of the total price. Sales tax is 7%. Tag fee is $145. Title fee is $45. What is the total price of the vehicle?
2. The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?
3. The total deferred price of a car is $28000. After a down payment of $2100, the monthly payments are $380. How long is the financing agreement?
4. Stanley bought a new car with a sticker price of $19200. The dealer agreed to a 6% discount. The sales tax was 8% of the selling price. The tag fee was $65, and the title fee was $45. What is the total price of the car? The interest rate is 9% for financing the car for 5 years. What is the total deferred price after all the payments were made?
5. Mark bought a truck with a sticker price of $23000 plus additional options totaling $3500. He received a 4% discount and a $1500 trade-in allowance. The tax was 7%, tag fee was $125, and title fee was $75. He bought an extended warranty for $700, which was financed into the total cost of the truck. The interest rate was 6.5% for 5 years. How much are the monthly payments?
The total price of the vehicle would be $18,192.88.
The total deferred price of the car would be $11,191.60.
The length of the financing agreement is 68 months .
The total deferred price after the payments was $19,601.84.
The monthly payments would be $516.92.
How to find the price of the vehicle ?Subtotal = Base price + Options + Destination charges
Subtotal = $14,500 + $982 + $592 = $16,074
Dealer preparation = 5% of subtotal
Dealer preparation = 0.05 x $16,074 = $803.70
Sales tax = 7% of subtotal
Sales tax = 0.07 x $16,074 = $1,125.18
Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee
Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88
How to find the total deferred price ?Tax = 8% of selling price = 0.08 x $8,850 = $708
Tag fee = $130
Title fee = $35
Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223
Annual interest rate = 9.5%
Number of years financed = 3
Total finance charges = $8,223 x 0.095 x 3 = $2,341.595
Total financed amount = $8,223 + $2,341.595 = $10,564.595
Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615
Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595
How to find the length of the financing agreement ?Total deferred price = $28,000
Down payment = $2,100
Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900
Monthly payments = $380
Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16
The financing agreement is approximately 68 months long.
How to find the deferred price after the payments ?Sticker price = $19,200
Discount = 6% of sticker price = 0.06 x $19,200 = $1,152
Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048
Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84
Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84
How to find the monthly payments ?Using the formula for monthly payments on a loan:
P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)
= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92
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Terrel has 8 nickels. Heather has twice as many nickels as Terrel. Heather spends 4 nickels to buy a pencil. Each nickel is worth 5 cents. Which expression shows how many cents Heather has left?
Answer:
12*5=x
Step-by-step explanation:
Does the graph represent a function? Why or why not ?
Answer:
A.
Step-by-step explanation:
The vertical line test is a way of finding out if a relation is a function.
Graph the relation.
Then imagine a vertical line moving from left to right over the graph of the relation.
If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.
This function passes the vertical test since it never intersects more than one point on the vertical line at a time.
Answer: A.
PLEASE HELP WITH BOTH!!! MARKING BRAINLIEST
Answer: The perpendicular distance between the two parallel sides of a trapezium is known as the height of a trapezoid. In simple words, the base and height of a trapezoid are perpendicular to each other. The trapezoids can be both right trapezoids (two 90-degree angles) and isosceles trapezoids (two sides of same length).
Work out Simplify if possible.
Answer:
a.1×9/1=9
b.3×5/1=15 i think this would be the answer
Answer:
a) 9
b) 15
you
can
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photo
math
to help you with your math :)
Hope this helps you......
measure of x in the right triangle
Answer:
x = 8/21
Step-by-step explanation:
use cosine ratio
How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked? Translate into expression, I will award brainiest!
Answer:
Total distance traveled= 21h miles
Step-by-step explanation:
You biked at 10 mph for h hours
Speed= 10 mpg
Time = h hours
Distance covered= speed*time
Distance covered= 10h miles
walked at 3mph for twice as long as I biked,
Speed= 3 mph
Time= twice as long as biked
Time= 2(h) hours
Distance= 2h*3
Distance= 6h miles
ran at 10mph for one quarter as long as I walked
Speed= 10 mph
Time= 1/4 of(2h)
Time= 1/2h hours
Distance= 1/2h*10
Distance= 5h miles
Total distance traveled
= 10h miles +6h miles+ 5h miles
Total distance traveled= 21h miles
Factor a2 - 24a + 144.
Answer:
Step-by-step explanation:
sum = -24
Product = 144
Factors = (-12) , (-12)
a² - 24a +144 = a² - 12a -12a + (-12) *(-12)
= a(a - 12) -12(a -12)
= (a -12)(a-12)
Answer:
It's C
Step-by-step explanation:
(a-12)(a-12)
a(a-12)-12(a-12)
a²-12a-12a+144
a²-24a+144
One positive number is 5 times another number. The difference between the two numbers is 1664,
find the numbers.
Answer:
i don't know i think its 20 in my opnian
Step-by-step explanation:
i don't know sorry
Solve the rational inequality, and write the solution in interval notation.
x+1x−3≤0
Answer: To solve the rational inequality:
x+1 / x−3 ≤ 0
We can start by finding the critical points of the inequality by setting the numerator and denominator equal to zero:
x + 1 = 0 => x = -1
x - 3 = 0 => x = 3
These critical points divide the number line into three intervals: (-infinity, -1), (-1, 3), and (3, infinity). We can then test each interval to determine whether the inequality is true or false.
Testing the interval (-infinity, -1), we choose a test point x = -2:
(-2 + 1) / (-2 - 3) = -1/5 < 0
Therefore, this interval satisfies the inequality.
Testing the interval (-1, 3), we choose a test point x = 0:
(0 + 1) / (0 - 3) = -1/3 > 0
Therefore, this interval does not satisfy the inequality.
Testing the interval (3, infinity), we choose a test point x = 4:
(4 + 1) / (4 - 3) = 5 > 0
Therefore, this interval satisfies the inequality.
So, the solution to the inequality is:
x ∈ (-∞, -1] ∪ (3, ∞)
In interval notation, this solution is (-∞, -1] U (3, ∞).
Step-by-step explanation:
Below is a frequency distribution from a random sample of the number of interceptions thrown in a football game by one quarterback. Frequency Distribution: Number of Interceptions Thrown in a Game Number of Interceptions Count Cumulative Count Percent Cumulative Percent 0 40 40 20% 20% 1 80 120 40% 60% 2 48 168 24% 84% 3 20 188 10% 94% 4 8 196 4% 98% 5 4 200 2% 100% a. How many observations are in the sample
Answer: 200
Step-by-step explanation:
No___count ____cumm____count%___cumm%
0_____40_______40_______20%_____20%
1_____80_______120_______40%_____60%
2____48________168_______24%_____84%
3____20________188_______10%______94%
4____8_________196_______4%_______98%
5____4_________200_______2%______100%
Hence number of observations in the sample is the sum of counts of each interception, which is also the bottom most value of the cumulative frequency column.
Sum of counts (40 + 80 + 48 + 20 + 8 + 4) = 200
The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a point estimate Kilowatt usage when the Temperature is 90 degrees outside?
The question is incomplete. The complete question is as follows.
The city of Oakdale wishes to see if there is a linear relantionship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a pont estimate Kilowatt usage when the Temperature is 90 degrees outside?
Temperature(x) Kilowatts(y)
73 680
78 760
85 910
98 1510
93 1170
83 888
92 923
81 837
76 600
105 1800
Answer: The point estimate is 1132.5 Kilowatts
Step-by-step explanation: Regression analysis is used to find an equation that fits the data. Once this equation is found, it's used to make predictions. One of the regressions is linear regression.
To find the linear regression model:
1) Create a table with the following: ∑y; ∑x; ∑xy; ∑x²; ∑y²;
2) Use these equations to find coefficients a and b:
a = (∑y)(∑x²) - (∑x)(∑yx) / n(∑x²) - (∑x)²
b = n(∑xy) - (∑x)(∑y) / n(∑x²) - (∑x)²
3) Substitute the coefficients into the equation of form: y = a + bx
For the table above, the linear regression equation is:
y = - 2004 + 34.85x
When Temperature is 90, i.e. x = 90:
y = - 2004 + 34.85*90
y = 1132.5
The estimate Kilowatt is 1132.5.
What is the range of the function shown on the graph
Answer:
-2<=y<=-7
Step-by-step explanation:
Which proportion would you set up to change 5 gallons to quarts?
A jar contains 20 yellow jellybeans, 20 orange jellybeans, 20 red jellybeans and 20 green jellybeans.
Required:
a. In how many ways can you put all the jellybeans in a row?
b. How many ways are there to select a handful of 20 jellybeans?
c. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red?
d. How many ways are there to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange?
Answer:
A)
\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)
B)
\(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)
C)
= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)
D)
= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)
Step-by-step explanation:
A) How many ways can you put all Jellybeans in a row
Total number of Jellybeans = 80
The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans
Therefore the number of ways the Jellybeans can be put in a row is :
\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)
B) How many ways are there to select a handful of 20 jellybeans
lets assume:
yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d
a + b + c + d = 20
This is the number Non-negative integer solutions
= \(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)
C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3
hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red
= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)
D) In this case the value of C ≥ 3 and B ≤ 2
Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange
= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)
x – 4 = -9 + x
How do I do this
Answer: No Solution
Step-by-step explanation: There isn't an option to get x by itself, leaving you with no Solution.
Heres where it fails:
x - 4 = -9 + x
Get X by Itself
x - 4 = -9 + x
-x -x
-4 = -9
And last time I checked, -4 doesn't equal -9
What is an example of a linear function?
The example of the linear function is f(x) = 5x + 8
We know that the linear function is a function that has one or more variable without exponent.
The linear function can be written in different form.
The slope intercept form is f(x) = mx + c
where m is the slope of the line and c is the y-intercept
The example of the linear function is
f(x) = 5x + 8
Where 5 is the slope of the function and 38 is the y-intercept of the function.
Therefore, the example of the linear function in the slope intercept form is f(x) = 5x + 8
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Ciana earns an hourly wage of $30 at her job. In order to purchase her sneakers she will have to take time off work, so each hour away from her job
costs her $30 in lost Income. Assume that ciana travel time is the same each way (to and from the store) and that it will take her 30 minutes once
she reaches a store to complete her shopping. Assume throughout the question that ciara incurs no additional costs other than the sneakers, such as
gas.
complete the following table by computing the opportunity cost of ciana’s time and the total cost of shopping at each location
Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.
How to determine the opportunity cost?Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:
Total economic cost:
Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144
Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131
Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135
Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).
Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.
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Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service. Assuming all conditions for inference are met, which of the following is a 90 percent confidence interval for the difference in population proportions (City C minus City K) who subscribe to the streaming service?
A. (0.17 – 0.27) + 1.65, 0.27 0.17 V 200
B. (0.17 – 0.27) 1.96 V (0.17)(0.83)+(0.27)(0.73) 400
C. (0.17 – 0.27) + 1.657 (0.17)(0.83)+(0.27)(0.73) 400
D. (0.17 – 0.27) + 1.96V (0.17)(0.83)+(0.27)(0.73) 200
E. (0.17 – 0.27) + 1.657 (0.17)(0.83)+0.27)(0.73) 200
Answer:
\(CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}\)
Step-by-step explanation:
Given
\(n = 200\)
\(x_1 = 34\) -- City C
\(x_2 = 54\) --- City K
Required
Determine the 90% confidence interval
This is calculated using:
\(CI = \bar x \± z\frac{\sigma}{\sqrt n}\)
Calculating \(\bar x\)
\(\bar x = \bar x_1 - \bar x_2\)
\(\bar x = \frac{x_1}{n} - \frac{x_2}{n}\)
\(\bar x = \frac{34}{200} - \frac{54}{200}\)
\(\bar x = 0.17 - 0.27\)
For a 90% confidence level, the z-score is 1.65. So:
\(z = 1.65\)
Calculating the standard deviation \(\sigma\)
\(\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }\)
So:
\(\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }\)
\(\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}\)
So:
\(CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}\)
\(CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}\)
10. Lin and Andre biked home from school at a steady pace. Lin biked 1.5 km and it took her 5 minutes. Andre biked 2 km and it took him 8 minutes. a) Draw a graph with two lines that represent the bike rides of Lin and Andre. b) For each line, highlight the point with coordinates (1, k) and find k. c) Who was biking faster?
According to the data, it can be inferred that Lin is faster than Andre because she is going at 0.3 km/min speed while he is going at 0.25 km/min speed.
How to calculate who goes faster?To calculate who goes faster we must divide the time into the distance traveled by each character as shown below:
1.5km ÷ 5min = 0.3km/min2km ÷ 8min = 0.25km/minWhat is the K point for each character?According to the above, the point K of each would be equal to the distance that each of them travels in one minute. As shown in the graph, after 5min (Lin) and 8min (Andre), each one reaches their respective destination located 1.5km and 2km away, respectively, taking the point (0,0) as the starting point.
Lin: (1,0.3)Andrew: (1,0.25)The graph is attached.
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A football coach must order 9 new jerseys. The jerseys cost $23.79 each.
What is the total cost for the jerseys?
Answer:
9 x 23.79 = $214.11
Need help!!! A rocket scientist is designing a rocket to visit the planets in the solar system. The velocity that is needed to escape a planet’s gravitational pull is called the escape velocity. The escape velocity depends on the planet’s radius and its mass, according to the equation V escape=square root(2gR where R is the radius and g is the gravitational constant for the particular planet. The rocket’s maximum velocity is exactly double Earth’s escape velocity. The earth’s gravitational pull is 9.8 m/s^2 The earth’s radius is 6.37 x10 ^6 For which planets will the rocket have enough velocity to escape the planet’s gravity?
Answer:
Mercury, Venus, Earth, Mars, and Uranus
Step-by-step explanation:
Calculate the escape velocity for each planet, using the equation v = √(2gR).
\(\left[\begin{array}{cccc}Planet&R(m)&g(m/s^{2})&v(m/s)\\Mercury&2.43\times10^{6}&3.61&4190\\Venus&6.07\times10^{6}&8.83&10400\\Earth&6.37\times10^{6}&9.80&11200\\Mars&3.38\times10^{6}&3.75&5030\\Jupiter&6.98\times10^{7}&26.0&60200\\Saturn&5.82\times10^{7}&11.2&36100\\Uranus&2.35\times10^{7}&10.5&22200\\Neptune&2.27\times10^{7}&13.3&24600\end{array}\right]\)
The rocket's maximum velocity is double the Earth's escape velocity, or 22,400 m/s. So the planets the rocket can escape from are Mercury, Venus, Earth, Mars, and Uranus.
0) Multiply (5 x 10567 x 10), express in scientific notation
Answer:
3.8×10^8
hope it's helpful
How many solutions are there to the equation below
7(x+2) = 7x-10
Answer: {No Solution}
Step-by-step explanation:
WILL GIVE 5 STARS
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning.
A: The linear equations are x + y = 125 and x = y + 45.
B: Everyday Angela spends 40 minutes in playing golf.
C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Part A:
Let x be the number of minutes Angela plays soccer every day
Let y be the number of minutes Angela plays golf every day
According to the problem statement the linear equations are -
x + y = 125 (total time playing both sports is 125 minutes)
x = y + 45 (Angela plays 45 more minutes of soccer than golf)
Part B:
Substitute x = y + 45 into the first equation -
(y + 45) + y = 125
Use the addition operation -
2y + 45 = 125
2y = 80
y = 40
Angela spends 40 minutes playing golf every day.
Part C:
If Angela spends 80 minutes playing soccer every day, then
x = 80
y + 45 = 80 (using the equation x = y + 45)
y = 35
But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.
This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.
Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.
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Solve for x.
5/25=9/(x+4)
Answer: x = 41
For x in the equation
5/25=9/(x+4)
5(x+4) =9(25)
5x + 20 = 225
5x = 205
x = 41
Therefore, the value of x for the equation 5/25=9/(x+4) is x = 41
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A circle has a diameter of 18 yd. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
You are at a restaurant and your bill comes to $34.78. You need to add the sales tax which
is 6%. You have one $20 bill, two $10 bills, one $5 bill, five $1 bills, and some pennies.
F
.
.
How much is your total bill including tax?
How much should you give the server so you do not get back any pennies?
What denominations will you use for this?
Use the equation editor to show your work.
In order to find the answer to this problem, we want to do the following:
First, we need to find the sales tax value:
$34.78 + 6% sales tax
$34.78 * 1.06
$36.87 (rounded to the nearest hundredth)
The total bill is equal to $36.87
Now to find which bills to give to the server:
$20 + $10 + $5 + $1 = $36
Then, you can give the server 87 pennies.
Answer:
Step-by-step explanation:
34.78 + 34.78(0.06) = 36.87 Total bill
Pay 37.07 and you get 15 cents back (1 dime, 1 nickel)
Pay with:
1-$20
1-$10
1-$5
2-$1
2-pennies
Total: 20+10+5+2+0.02 = $37.02
$37.02 - $36.87 = $0.15 (this is your change, no pennies)