Answer:
a. y-intercept = 23350 and x-intercept = 13
b. [tex]m = -\frac{23350}{13}[/tex]
c. [tex]y = -\frac{23350}{13}x + 23350[/tex]
Step-by-step explanation:
Given
[tex]Years = 13[/tex]
[tex]Total\ depreciation = \$23350[/tex]
Solving (a): The x and y intercepts
The y intercept is the initial depreciation value
i.e. when x = 0
This value is the value of the car when it was initially purchased.
Hence, the y-intercept = 23350
The x intercept is the year it takes to finish depreciating
i.e. when y = 0
From the question, we understand that it takes 13 years for the car to totally get depreciated.
Hence, the x-intercept = 13
Solving (b): The slope
The slope (m) is the rate of depreciation per year
This is calculated by dividing the total depreciation by the duration.
So:
[tex]m = \frac{23350}{13}[/tex]
Because it is depreciation, it means the slope represents a deduction.
So,
[tex]m = -\frac{23350}{13}[/tex]
Solving (c): The straight line equation
The general format of an equation is:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
[tex]b = y\ intercept[/tex]
In (a), we have that:
[tex]y\ intercept = 23350[/tex]
In (b), we have that:
[tex]Slope\ (m) = -\frac{23350}{13}[/tex]
Substitute these values in [tex]y = mx + b[/tex]
[tex]y = -\frac{23350}{13}x + 23350[/tex]
Hence, the depreciation equation is: [tex]y = -\frac{23350}{13}x + 23350[/tex]
Convert 144 pounds to kilograms. Use 1 kg = 2.2 Ib. Round your answer to the nearest tenth. kg
Answer:
Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :
144/2.2
=65.45
=70 kg
The school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft
Dimensions: 2 1/4 and 3 3/16
Using the dimensions indicated on the drawing, what is the total area of the new room?
Answer:
the total are is 459
Step-by-step explanation:
3 3/16 divided by 1/8 = 25 1/2 or 25.5
2 1/4 divided by 1/8 = 18
so 18 x 25.5 = 459
hope this helps
The total area of the new room is 459.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
WE are given that school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft
Dimensions: 2 1/4 and 3 3/16
Therefore,
3 3/16 divided by 1/8 = 51/2 or 25.5
2 1/4 divided by 1/8 = 18
Thus we have the area
= 18 x 25.5
Area = 459
The total area of the new room is 459.
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at what point in the first quadrant does the line with equation y=×+4 intersect the circle with the radius 5 and center (0,4)
Answer:
x=3.536, y=7.356
Step-by-step explanation:
The point of intersection can be found out be equating the equations x^2+(y-4)^2=25 and y=x+4. Solving it we will get x=3.536, y=7.356
what is the estimate product of 33 and 76
Which values, in order, will complete the table
Answer:
A or -1/2, -rad2/2, -rad3/2
Step-by-step explanation:
Right on edge
Answer:
A
Step-by-step explanation:
correct on edge 202222222
The price of one share of a stock fell 4 dollars each day for 8 days. How much value did one share of the stock lose after 8 days?
Answer:
After 8 days, the stock lost 32 dollars.
Step-by-step explanation:
If 4 dollars fell every day for 8 days, it would be 32 dollars because 4*8 is 32.
What is the domain of the relation?
✔ -4<=x<=6
What is the range of the relation?
✔ -4<=y<=4
Is the relation a function?
✔ yes
here are all the answers
Answer:
thx for ur help
i can not beg this enough please answer!!! i have a D in math right now and i cant afford and F. PLEASE LOOK AT THE PHOTO
What is the measure of PRQ?
Answer:
the answer is 172
Step-by-step explanation:
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[tex]PRQ = \frac{PQ +TS}{2} \\ [/tex]
[tex]PRQ = \frac{102 + 70}{2} \\ [/tex]
[tex]PRQ = \frac{172}{2} \\ [/tex]
[tex]PRQ = 86°[/tex]
Thus the correct answer is (( A )) .
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Turner took a total of 8 quizzes over the course of 4 weeks. How many weeks of school will Turner have to attend this quarter before he will have taken a total of 16 quizzes? Assume the relationship is directly proportional. plz just put the answer
Answer:
8 wks
Step-by-step explanation:
It's 8 weeks
It's literally 8 weeks
How is the interest rate on a payday loan calculated?
a.
loan amount divided by total fees
b.
total fees divided by loan amount
c.
total fees divided by days of loan
d.
APR divided by 365
Answer:
b. total fees divided by loan amount
Step-by-step explanation:
The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.
Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.
Answer:
b. total fees divided by loan amount
Step-by-step explanation:
The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.
Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.
Which property justifies drew first step ?
A.commutative property of multiplication
B.associative property of addition
C. subtraction property of equality
D. distributive property of multiplication over addition
Three letters are randomly chosen from PROBABILITY. What is the probability that at least one of the letters is B?
Answer:
2/11
Step-by-step explanation:
thats the probability
Answer:
2/11
Step-by-step explanation:
round 803 to the nearest ten. Enter your answer in the box below.
Answer:
800
Step-by-step explanation:
Answer:
Hey buddy, here is your answer. Hope it helps you
Step-by-step explanation:
It will round off to 800 as it is below 5. Above 5 it will round off to 810.
factor 5x^2 + 10x + 5
read the photo and please answer!!
please someone help me answer this and please do give explanation to your answer!
which equation represents the problem?
3x -3 =45
3x = 45 + 3
3 + 3x = 45
3 = 45 + 3x
Now Recipes?
x= 13
x= 15
x= 16
x= 14
Answer:
3 + 3x = 45 ; x = 14
Step-by-step explanation:
45 = 3x + 3 ⇒ x = 14
Q(9,10) R(-5,2) S(-8,-2) T(-1,2)
Answer:
its perpendicular
Step-by-step explanation:
hannah and jayna have disponsable camreas. The table and desprition shiw the number of shots left on thier cameras as a function of time.
Answer:
Okay, so what is the question?
Answer:
Tornado: clouds, strong wind, rain, hail.
Hurricane or cyclone: strong wind, heavy rain.
Blizzard: heavy snow, ice, cold temperatures.
Dust storm: strong winds, arid conditions.
Flood: heavy rainfall.
Hail storm: cold or warm temperatures, rain, ice.
Ice storm: freezing rain.Step-by-step explanation:
Encide the best answer
1. What is the sum of: -2 + 6?
Answer:
The sim is 4
Step-by-step explanation:
6 - 2 = 4, therefore the -2 and 6 are the same if fliped.
Ann and Bob split some money in the ratio 4:2. Ann got £4 more than Bob. How much did Bob get?
Answer:
$4
Step-by-step explanation:
A 4:2 ratio is the same as a 2:1 ratio, so Ann receives double what Bob gets.
If Ann gets 8 dollars and Bob gets 4, then Ann would have $4 more than Bob, and it would follow the appropriate ratio.
What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)
The required value of θ for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.
What are trigonometric functions?The basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.
The given equation is,
cos(θ)=sin(θ/3-10) (1)
To find the value of θ,
Change the whole equation into one trigonometric function,
Since, cos(θ)=sin(90-θ)
Substitute this value in equation (1)
sin(90-θ)=sin(θ/3-10)
⇒90-θ=θ/3-10
⇒4θ/3=80
⇒θ=60
The value of θ is 60°.
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Use benchmark values to estimate 7/10 + 7/8.
Answer:
1.575
Step-by-step explanation:
Question 10 of 20 :
Select the best answer for the question.
10. If five times a number plus two is 17, what is the number?
A. 2
B. 5
ООО
C.3
D. 7
Mark for review (Will be highlighted on the review page)
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Answer:
C. 3
Step-by-step explanation:
3 x 5 = 15, 15 + 2 = 17 :)
Find the area of the shape shown below
Answer:
18 MARK AS BRAINLIEST OR ELSE!!!!
Step-by-step explanation:
area = 1/2h(sum of bases)
area = 1/2x3(3+9)
area = 1/2 of 36
area = 18
Which statement is false? Explain.
A. An equiangular polygon has all angles congruent.
B. A regular polygon is both equilateral and equiangular.
C. An equilateral polygon has all sides congruent.
D. A polygon is concave if no diagonal contains points outside the polygon.
Answer: D. A polygon is concave if no diagonal contains points outside the polygon.
Explanation:
Choice A is true since "equiangular" means "equal angles"
Choice B is true since all sides are congruent, and all angles are congruent for a regular polygon
Choice C is true. The term "lateral" means "side".
Choice D is false because a convex polygon is one where all possible line segments contained in the polygon do not spill outside the polygon. Put another way, if points A and B are in a convex polygon, then every point on line segment AB is also in the polygon. Concave polygons don't have this feature. It is possible to draw a line segment where it spills outside the concave polygon.
Rip king Von pop smoke quando rondo timmie and yea
Points and brainlest help me out on my question !!
Answer:
RIP to all those kings!!
Step-by-step explanation:
Find the quotient of 60:5
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
60:5 = 60/5. 60/5=12
If start fraction 1 over 3 end fraction is equivalent to 33start fraction 1 over 3 end fraction%, what percent is equivalent to two-thirds? A. 33two-thirds% B. 150% C. 66two-thirds% D. 65%
Answer:
The answer is C 66%
Step-by-step explanation:
Which number is additive inverse of -4 1/4
Answer:
4 1/4
Step-by-step explanation:
the additive inverse is a number that when you add it with the number you already had, makes 0
-2 is the additive inverse of 2
so 4 1/4 is the inverse of -4 1/4
It is known that 10% of the UNIVERSITY students own their own car. If a random sample of 10 students is taken, what is the probability that at most 2 have their own vehicle?
Probability of students having their own vehicle
= 2/10
= 1/5