Given:
Initial value of car = 20,000
Depreciation or decreasing rate = 10% = 0.10
To find:
The equation that gives the value of the car.
Solution:
It is given that the value then depreciates or decreases by 10% of in initial value each year. It means the depreciation value is same for each year, i.e., 10% of initial value.
[tex]10%\text{ of }20000=\dfrac{10}{100}\times 20000[/tex]
[tex]10%\text{ of }20000=2000[/tex]
So, the value of car decreased by 2000 per year.
Let y be the value of can after x years.
Then, the value decreased in x years is 2000x.
So, the values of the car is
[tex]y=20000-2000x[/tex]
Therefore, the required equation is [tex]y=20000-2000x[/tex].
pls help me, i’ll give brainliest
Answer:
10 $ a year
Step-by-step explanation:
Answer:
16 dollars
Step-by-step explanation:
earned in first 6 years: 100 dollars
100/6 is roughly 16 dollars
hope this helps! :)
pls help me i need to finish this assignment
9514 1404 393
Answer:
19) x = number of people; y = cost
20) (people, cost) = (15, 120) and (25, 200)
21) the rate of change is $8 per person
22) y = 8x
23) $320
Step-by-step explanation:
19) The problem statement tells you x is the number of people and y is the cost.
__
20) Writing the pairs (people, cost), we have ...
(15, 120) and (25, 200)
__
21) The rate of change can be found from the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (200 -120)/(25 -15) = 80/10 = 8
The rate of change is $8 per person.
__
22) In point-slope form, the rule is ...
y -y1 = m(x -x1)
y -120 = 8(x -15)
y = 8x -120 +120
y = 8x
__
23) For x=40, y = 8(40) = 320
A party for 40 people will cost $320.
Estimate the turning point of the graph y=x^3+x^2-6x
Answer:
X=0,X= -3,X=2
Step-by-step explanation:
y=x^3+x^2-6x
0=x^3+x^2-6x
x^3+x^2-6x=0
x ×(x^2+x-6)=0
x ×(x^2+3x-2x-6)=0
x ×(xx(x+3)-2(X+3))=0
x ×(x+3)x(x-2)=0
x=0
x+3=0
x-2=0
x=0
x= -3
x=2
sana nakatulong
Write [tex]\sqrt[3]{x^{2} y^{2} }[/tex] using fractional exponents.
Answer:
[tex]x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{x^{2}y^{2}} = (x^{2}y^{2})^{\frac{1}{3}}\\\\\\[/tex]
= [tex]=(x^2)^{\frac{1}{3}}y(^{2})^{\frac{1}{3}}\\\\\\= x^{2*{\frac{1}{3}}}y^{2*{\frac{1}{3}}}\\\\=x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]
Which shows one way to determine the factors of x3 + 5x2 – 6x – 30 by grouping?
Answer:
Work shown below;
Step-by-step explanation:
Factor by grouping:
[tex]x^{3}+5 x^{2}-6x-30\\(x^{3}+5 x^{2}) (-6x-30)\\x^{2} (x+5)-6(x+5)\\(x^{2}-6 )(x+5)[/tex]
x - 2y < 2
graph the inequality
Answer:
y > 1/2x - 1
First, draw the dashed line y = 1/2x - 1 (slope intercept ; y = mx + b).
Start at -1 on the y-axis, and continue going 2 units to the right, and 1 unit up for the right side of the graph.
Then starting at -1 on the y-axis, continue going 2 units to the left, and 1 unit down for the left side of the graph.
Explanation:
Convert standard form (Ax + By = C) by isolating y from the rest of the equation.
Ax + By = C → y = -Ax/B + C/B → y = mx + b.
Given a standard form equation in inequality form,
x - 2y < 2.
Set it to slope-intercept as an inequality to find the slope and y-intercept.
When negating (making opposite) a variable, you flip the inequality.
x - 2y < 2 → x - 2y - x < 2 - x → -2y < -x + 2 → 2y > x - 2 → y > 1/2x - 1.
Determine the constant rate of change for each table.
1. Age (yr) Height (in.)
9514 1404 393
Answer:
2 3/4Step-by-step explanation:
The rate of change in each case can be found by dividing right-column differences by left-column differences.
Table 1
(56 -54)/(10 -9) = 2/1 = 2 . . . the constant rate of change
__
Table 2
(3 -0)/(4 -0) = 3/4 . . . the constant rate of change
_____
Additional comment
Often, in math problems of this sort, you fill in a blank with a number. Above, we have computed those numbers. In real life, it is useful to consider the units that go with that number. The units are divided in the same way the numerical values are.
Table 1: 2 in/yr
Table 2: 3/4 °C/h
Solve the equation 11x + 16y = 13 for y.
The solution is y = ?
.
Answer:
y=13/16 minus 11x/16
I hope this helps :-)
Simplify the expression
Answer:
f(x) = 5x² + 2x g(x) = 6x - 6Step-by-step explanation:
[tex]\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6[/tex]
What role did monasteries play in the spread of Christianity? Choose three correct answers.
They put emperors such as Charlemagne in power.
They forced people to practice Christianity.
They helped feed people who lived in poverty.
They imprisoned non-Catholics.
They cared for sick villagers.
They educated people.
I Need Help Fast!!
Answer:
They educated people. They cared for sick villagers. They helped feed people who lived in poverty.
Step-by-step explanation:
I just got it correct.
Hope this helps! ^^
Sorry that I probably didn't help you in time!
The roles monasteries play in the spread of Christianity :- They educated people. They cared for sick villagers. They helped feed people who lived in poverty.
What are monasteries?A monastery was a building, or buildings, where people lived and worshiped, devoting their time and life to God.
The people who lived in the monastery were called monks. The monastery was self-contained, meaning everything the monks needed was provided by the monastery community.
The role monasteries play in the spread of Christianity :-
They helped feed people who lived in poverty.
They cared for sick villagers.
They educated people.
Most powerful force that helped spread Christianity were missionaries. Monks were the men who lived in the monasteries. There Christian men called monks devoted their lives to God. He made the pope the guardian of the spiritual lives of all Christians.
Learn more about monasteries click;
https://brainly.com/question/29570884
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Tom have 47 quaters his dad gave him 14 how many top have in all
Answer:
61 or 33
Step-by-step explanation:
47+14=61 or 47-14 =33
Answer:
I can help
Step-by-step explanation:
Quarters in help is 61 but in money its $16. Hope this helps.
Games with this rating contain content which the ESRB believes is generally suitable for those age 10 and older
Question 3 options:
A T Teen
B eC Early Childhood
C M Mature
D E10+Everyone
Answer:
D. Everyone 10+
Step-by-step explanation:
This is the most popular age group when it comes to age ratings. For example, Mario Kart is an Everyone 10+ game.
I need help I'm dumb
Answer:
this is easy just place the value of x in the formula
Step-by-step explanation:
1) y=-2x-5 this wpuld equal y=-2(-6)-5
i am going to do one and you do the rest
y= -2(-6)-5
y= (12)-5
y= -60
Now i got 12 positive because is we look at the rule os signs -+-=+
so -2(-6)= 12
and the pharentesis= multiplication
first to answer correctly gets brainleist! I need ya to find the slope for me!
Answer:
m=-1
Step-by-step explanation:
The line is going down as x increases, so the slope is negative. Next, we can find the value for m by taking the equation:
m=(y2-y1)/(x2-x1)
m=(3-(-1))/(0-4)
m=4/-4
m=-1
evaluate the Expression when n= -4
[tex] {n}^{2} + 6n + 9[/tex]
Answer:
1
Step-by-step explanation:
(- 4)² + 6(- 4) + 9 = 16 - 24 + 9 = 1
If I pay $600 in interest for my simple interest loan for $10,000 at an
interest rate of 3%, how long did I have the loan for?
Answer:
2 periods
Step-by-step explanation:
Simple interest is compounded one time, usually annually, although it could be less time or longer. Thus I answer 2 periods. If your choices include 2 years, that is most likely the answer.
To find the answer,
$10,000 x .03 = $300.
$600 / $300 = 2 periods.
Hope this helps.
Good luck
Estimate the product. Solve using an area model and the standard algorithm. Remember to express your products in standard form. 33.2 × 21 ≈ _______ × _______ = _______ Show your estimation and area model on your paper. Then solve using the standard algorithm. What is the answer?
Answer:
Step-by-step explanation:
Using the area model and standard algorithm, we have:
332 (tenths)
× 21
332
664
6972 tenths = 697.2
30 + 3 tenths
1 300 32 332
20 600 64 664
33.2 × 21 = 30 × 1 = 30
Ivian scores 58 out of 80 marks in a maths test what is his score as a percentage
Answer:
72.5%
Step-by-step explanation:
Lets make his score a percentage: 58/80
Now covert it to a percentage: 58/80 = x/100
Cross multiply: 80x = 5800, x = 145/2
Divide 145 by 2: 72 1/2
Answer is 72.5%
I hope this helped, please mark Brainliest, thank you!
A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?
Answer:
medium
Step-by-step explanation:
Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps
Answer:
medium!! {a p e x :))}
------------------------
Step-by-step explanation:
small: 160/225=0.71*100=71 shirts
medium: 335/375=0.893*100=89 shirts
large: 275/325=0.846153*100=85 shirts
x-large: 125/175=0.714285*100=71 shirts
based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts
Ben drove 230 kilometers in 3 hours, and Pia drove 250 kilometers in 3 hours. Without making any calculations, who drove faster?
Answer:
Pia drove faster than Ben, because they drove for the same amount of time, but Pia traveled farther. Pia drove 20 more kilometers than Ben, but she and Ben drove for the same amount of time.
Step-by-step explanation:
(-4/3)x -6 =26
solve for x
Answer:x =24
Step-by-step explanation: If we reverse that we will get x= 32x3/4 which is 24
Answer:
x = -24
Step-by-step explanation:
(-4/3)x -6 =26
Add 6 to both sides:
(-4/3)x = 32
(-4/3) = -1.33333333
divide both sides by -1.33333333
x = -24
Substitute:
(-4/3)(-24) -6 =26
32 - 6 = 26
26 = 26
x = -24
Express in the form n:1 ratio
16:8
HELP! 10 POINTS!!!!!!!
Answer: Graph A
Step-by-step explanation:
SLOPE : rise over run, so from any point, if 3 units go up, 4 units go right, and there should be a another point
Y-INTERCEPT : -3
What is the place value of the 5 in the number 1.458?
tenths
thousandths
ones
hundredths
Answer:
Step-by-step explanation:
1.458
The 5 is in the hundredths place
Write the EXPLICT equation for the arithmetic sequence below:
11, 9, 7, 5, 3.
Answer:
-2
you take two away every time
Selectall the values that are correctly represented in scientific notation.3.26×1053.26×10043.26×10−632.6 ×103
Someone help me out plz....
Answer:
G
Step-by-step explanation:
Rise 4 go over 5
Answer:
G has the slope of 4/5
Step-by-step explanation:
Hope this helps :)
Solve for x. PLZZZzzzz
Answer:
Actually,there x is qual to ninty minus x because of vertically opposite side...cauce ninty minus x comes in vertical opposite side by dragging the ninty minus x down ...so finally x is equalto ninty minus x and two x is equal to nintynow divide ninty by nine it's your ans.
Can someone help PLEASEE???
Answer:
44%
Step-by-step explanation:
There are a total of 25 tiles. 11 of them are shaded. To solve this divide 11/25*100. This equals 44%.
Determine if each graph represents a function explain your reasoning. Please do 9 and 10 :)
Answer:
9is an irrationalnfunction which would be 0=y^2+x^2 while 10 is y=-x^2+3