The equation of the value of the car over a year is 2357.14x + y = 33,000. Then the value of the car 4 years after it was purchased is $23571.43.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A new car is purchased for $33,000 and overtime its value depreciates by one half every 7 years.
Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (7, $16,500). Then we have
Let y be the value of the car and x be the number of years. Then we have
[tex]\rm y \ - \ 33000 \ \ = -\dfrac{16,500}{7} (x-0)\\\\y+2357.14x = 33000[/tex]
Then the value of the car 4 years after it was purchased, to the nearest hundred dollars will be
[tex]\begin{aligned} \rm y +2,357.14 \times 4 &= 33,000\\\\\rm y + 9,428.57 &= 33,000\\\\\rm y &= 23,571.43 \end{aligned}[/tex]
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The two triangles shown are congruent.
Find the value of x
Answer:
x = 11
Step-by-step explanation:
right triangle ABC
using Pythagoras' identity
BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
BC = [tex]\sqrt{625}[/tex] = 25
Since the triangles are congruent then corresponding sides are congruent.
ST = BC , that is
3x - 8 = 25 ( add 8 to both sides )
3x = 33 ( divide both sides by 3 )
x = 11
1) Solve the inequality 20 – 62 < -10.
Hey there!
20 - 62 < -10
20 - 62
= -42
-42 < -10
Therefore, your answer is: [TRUE] because -42 is SMALLER than -10
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the center of the circle given by this equation:
Answer:
center is (5,3)
Step-by-step explanation:
[tex]x {}^{2} - 10x + y {}^{2} - 6y - 30 = 0 \\ x {}^{2} - 10x + y {}^{2} - 6y = 30 \\ add \: \: \: 25 \: \: and \: \: 9 \: oneach \: side \: to \: make \: perfect \: square \\ x {}^{2} - 10x + 2 + y {}^{2} - 6y + 9 = 25 + 30 + 9 \\ (x - 5) {}^{2} + (y - 3) {}^{2} = 64 \\ (x - 5) {}^{2} + (y - 3) {}^{2} = 8 {}^{2} [/tex]
Find m < A
inscribed angles and arcs
Answer:
110°. b. b.
Step-by-step explanation:
..............
Brandi created the circle graph below to
show the percentage of her monthly
5 The
allowance she allocates in different ways.
of cat
Allowance
Clothes
40%
Food
Books
Savings
15%
35%
Brandi allocates $20
each month to clothes.
Based on the information in the circle graph,
what must Brandi's total monthly allowance
equal?
F $50
G $40
H $60
J $90
7.6G
Based on the information in the circle graph, Brandi's total monthly allowance is equal to $50.
What is the total monthly allowance?A circle graph is used to represent information in a circle. The circle is divided into different section to represent the magnitude of each grouping.
Total allowance = amount allocated to clothes / percentage of circle graph that is allocated to clothes
$20 / 0.40 = $50
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Enrique makes $11.50 per hour and works 40 hours per week. He is single
and claims O withholding allowances. He estimates that he will spend $100
per month on qualified expenses. How much will he save per week in taxes
if he participates in his employer's cafeteria plan and has $100 per month
deducted before taxes? How much will he save in one year, or 50 weeks
of work?
Answer:
He makes 460 per week
Step-by-step explanation:
A formula for the perimeter of a rectangle is P=2(l+w), where P is the perimeter, l is the length, and w is the width.
If the length of a rectangle is 64 centimeters and the width is 22 centimeters, what is the perimeter?
An analysis of variance is used to evaluate the mean differences for a research study comparing four treatments with a separate sample of n = 8 in each treatment. If the data produce an F-ratio of F = 4.60, which of the following is the correct statistical decision? a. Reject the null hypothesis with α = .05 but not with α = .01 b. Reject the null hypothesis with either α = .05 or α = .01 c. Fail to reject the null hypothesis with either α = .05 or α = .01 d. There is not enough information to make a statistical decision
Considering the p-value of the f-ratio, it is found that the correct option is given by:
a. Reject the null hypothesis with α = .05 but not with α = .01.
What is the relation between the p-value and the test hypothesis?Depends on if the p-value is less or more than the significance level:
If it is more, the null hypothesis is not rejected.If it is less, it is rejected.In this problem, the test statistic is of F = 4.60, with 4 x 7 = 28 df between treatments and 7 df in a single treatment, hence, using a calculator, the p-value is of 0.0218, which is less than 0.05 but more than 0.01, meaning that option A is correct.
More can be learned about p-values and hypothesis tests at https://brainly.com/question/26454209
Can anyone please help im stick on this question!!!
Answer:
28
Step-by-step explanation:
The mean is adding up all the numbers and then dividing by the total amount of numbers.
So with that in mind, we can set up a equation with the missing number as x.
[tex]\frac{x+19+22+31}{4} = 25[/tex]
Then you just solve.
What information about the houses that is not shown in this data could affect housing prices? check all of the boxes that apply. the location of the houses the size of the houses the selling prices the conditions of the houses the value of the houses relative to other homes in the same area
The information about the houses that could affect housing prices are;
location...size...the conditions... value of the...What is price?prices serves as the amount of money expected or required for a payment of a value given.
Therefore, from base on the meaning of prices from economics, value of the houses relative to other homes in the same area can affect the price.
Learn more about prices at;
https://brainly.com/question/19104371
Answer:
Step-by-step explanation:
A B D E
Just did it on Edge!!!!
percent sicount
A $44.00 video game is on sale for $28.60
A.20%
B.25%
C.30%
D.35%
E.40%
F.45%
Answer:
35%
Step-by-step explanation:
28.60 is what percent of $44 ?/100
28.60*100=2860 2860/44=65 100-65=35%
How to graph 14x+18y=126
We need to rearrange this into [tex]y=my+c[/tex]Subtract 14x from both sides[tex]18y=-14x+126[/tex]Divide both sides by 2[tex]9y=-7x+63[/tex]Divide both sides by 9[tex]y=\frac{-7x+63}{9}=\frac{-7x}{9} +\frac{63}{9}[/tex]Plot the point (0, 63/9)Then pick some x values and put them into the equation to find the respective y valuesThen plot those pointsFinally join up those points
Riley has a fish tank in the shape of a rectangular prism like the one shown.
A box that measures 7 inches by 10 inches by 7 inches.
How much water can the tank hold?
24 cubic inches
70 cubic inches
119 cubic inches
490 cubic inches
ILL MAKE BRAINLIEST AND ITS 50 POINTS
The function
p(w)=230(1.1)
represents the number of specialty items produced at the old factory w
weeks after a change in management. The graph represents the number of specialty items produced at the
new factory during the same time period.
(a) During Week 0, how many more specialty items were produced at the old factory than at the new
factory? Explain.
(b) Find and compare the growth rates in the weekly number of specialty items produced at each factory.
Show your work.
Answer: Is In The Explanation
Step-by-step explanation: For the answer to the question above,
A) You just fill in 0 for w in the problem and anything raised to the power of 0 is 1, so 230(1) is 230, and that is the old factory and at 0 for the new, it is at 190. Subtract then explain why you did what you did.
B) I believe what they are asking for you to do, is you can take each week from the new factory and subtract it and find the equation for the new factory, you already know the growth rate for the old factory= 230(1.1)^w.
C) You take your old factory's equation and plug in numbers until one of them is greater at the new factory.
to how many decimal places are you supposed to 'estimate' the answer to?
Answer:
79.2135
Step-by-step explanation:
5.34 - 2.52 = 2.82
2.82 divided by 0.0356 = 79.2135
A triangle with a height of 12in.²has an area of 36 in.² how long is the base of the triangle
Answer: 6
Step-by-step explanation:
Area = ½base × height
36 = ½b × 12
½b = 36/12 =3
Base = 3× 2
Answer:
[tex]6in.^{2}[/tex]Step-by-step explanation:
To find the area we need to multiply length*height.
Because a triangle is half of a square we need to divide the area by two.
12*6=72
72/2= 36
Need help 10 points
simplify each of the following fractions :
25
__
30
Answer:
25 / 30 = 5 / 6
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
what is the fastest 10 km in 0.5h or 15 km in 1h ( PLS HELP ) :(
John is w years old. His sister is 16 years old and his brother is twice johns age all three siblings have a total age of 31
Answer:
Step-by-step explanation:
John's age = w
His brother's age = 2*w = 2w
His sister's age = 16 years
Total age of all siblings = 31
w + 16 + 2w = 31
w + 2w + 16 = 31
Combine like terms
3w + 16 = 31
Subtract 16 from both sides
3w = 31 - 16
3w = 15
w = 15/3
w = 5
[tex]\boxed{\text{John's age = 5 years }}[/tex]
His brother's age = 2w
= 2*5
= 10
[tex]\boxed{\text{John's brother's age = 10 years}}[/tex]
5times5 =..:.::.please help
Answer:
25 Lol
Step-by-step explanation:
Answer:
Your answer is 25.
Step-by-step explanation:
I hope this helps you :)
pls mark brainleist :P
`
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W/ <3...
Tori
Isabella invited some friends to her birthday party, but a few weren't able to attend. Of the friends she invited, 8 attended. That was 80% of the friends she invited. Shade the grid to show the percent of invited friends who attended the party. How many total friends did Isabella invite? You can use your model to help.
Answer:
80% or like 8 squares out of 10 oe=r 4 out of 5 ect
Step-by-step explanation:
Answer:
20 total friends
Step-by-step explanation: built different
A circle has a diameter of 12 inches what is the best approximation of its area use 3. 14 to approximate for pie
Answer:
113.04 square inches
Step-by-step explanation:
The diameter of the circle is 12 inches, so the radius is (1/2) * 12 = 6 inches. The area of this circle is approximately 3.14(6^2) = 3.14 * 36 = 113.04 square inches.
help asap its for my sis mathh
Answer:
The expression is:
[tex](5*6.50)+(3*24)-12=t[/tex]
The total Bella paid is:
$92.50
Step-by-step explanation:
5 shirts at $6.50 each
3 pairs of pants at $24.00 each
12 dollar discount
Let "t" be the total Bella paid.
[tex](5*6.50)+(3*24)-12=t[/tex]
[tex](32.50)+(3*24)-12=t[/tex]
[tex](32.50)+(72)-12=t[/tex]
[tex]32.50+72-12=t[/tex]
[tex]104.5-12=t[/tex]
[tex]92.5=t[/tex]
5. List three numbers that have square roots that are whole numbers greater than 12.
Answer:
169, 196, and 225
Step-by-step explanation:
the square root of them is as follows:
[tex]\sqrt{169}[/tex] = 13
[tex]\sqrt{196}[/tex] = 14
[tex]\sqrt{225}[/tex] = 15
to come to this conclusion, you have to square whole numbers above 12.
meg made 3 gallons of lemonade for a group of campers. if each camper gets 1 cup of lemonade, how many campers can have lemonade?
A. 16
B. 26
C. 48
D. 60
Answer:
C
Step-by-step explanation:
1 gallon = 16 cups
3 gallons = 48 cups if each camper gets one cup of lemonade, it can serve 48 campers.
is the following a statistical question? How many quarts are in a gallon?
yes or no
Answer:
No
Step-by-step explanation:
A statistical question is one where results may vary but this isn't the case since it will always be 4 quarts=1 gallon.
What is the area of the trapezoid? (-2, 6) (3,6) (-4,-6) (5.-6)
Answer:
84
Step-by-step explanation:
[tex]A[/tex]trapezoid= [tex]\frac{h(b_{1} + b_{2})}{2}[/tex]
Substitute the values into the equation: [tex]A=\frac{12(9 + 5)}{2}[/tex]
[tex]A=\frac{12(9 + 5)}{2}[/tex] (add 9 and 5)
↓
[tex]A=\frac{12(14)}{2}[/tex] (multiply 14 by 12)
↓
[tex]A=\frac{168}{2}[/tex](divide 168 by 2)
↓
[tex]A=84[/tex] (your answer)
Hope this helps! Have a good day! :)
Which phrase represents this expression?
35÷(12−5)
Select each correct answer.
(1) 5 less than the quotient of 35 and 12
(2) 35 divided by the difference of 12 and 5
(3) the quotient of 35 and the difference of 12 and 5
(4) the total of 35 and 12 is subtracted by 5
Answer:
answer 2(35 divided by the difference of 12 and 5
Answer:
2 and3
Step-by-step explanation:
A dance studio charges $17 for the first ballet class a dancer takes and $11 for each class after that. what are the first four terms of an arithmetic sequence in which an is the total amount a dancer pays, in dollars, for taking n ballet classes?
$17
17+11 = $28
28+11 = $39
39+11 = $50
17 + 11(n-1) $$
n-1 because removes the first class of $17