Answer:
The car value is $13,312.50
Step-by-step explanation:
Trust me this stuff is easy
The car will be worth $13,312.50 after 51 months from when it was purchased.
What is depreciation?Depreciation is the process of deducting the cost of a business asset over a long period of time, rather than over the course of one year.
Now it is given that,
Price of car during purchase = $28,400
Depreciation Time = 8 years
Straight line depreciated value after 8 years = $0
So, Amount of Depreciation per year = Price of car / Depreciaton Time
⇒ Amount of Depreciation per year = 28,400/8
⇒ Amount of Depreciation per year = $3,550
So, after 51 months i.e. 51/12 years
Amount of Depreciation of car after 51 months = Amount of Depreciation per year x Number of years
⇒ Amount of Depreciation of car after 51 months = 3,550 x 51/12
⇒ Amount of Depreciation of car after 51 months = $15,087.5
So, Cost of car after 51 months = $28,400 - $15,087.5
⇒ Cost of car after 51 months = $13,312.50
Thus, the car will be worth $13,312.50 after 51 months from when it was purchased.
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10. What is the equation of a line that passes through the point (4, 1) and is parallel to the line 2x - y = 42 A. y = 2x + 2 B. y = 2x - 7 C. y = -2x + 6 D. y=-2x + 9
9514 1404 393
Answer:
2x -y = 7
Step-by-step explanation:
Only the constant is different for the parallel line. It must be chosen so that the given point satisfies the equation.
2x -y = 2(4) -(1) = 7
The equation is ...
2x -y = 7
what is the coefficient of 15-8y?
Answer: its 15 and 8
Step-by-step explanation:
Answer: 15
Step-by-step explanation:
The mass of an ornament is m grams.
The height of the ornament is h centimetres.
m is directly proportional to the cube of h.
m = 525 when h= 5
a) Work out an equation connecting m and h.
Given:
m is directly proportional to the cube of h.
m = 525 when h= 5.
To find:
The equation connecting m and h.
Solution:
m is directly proportional to the cube of h.
[tex]m\propto h[/tex]
[tex]m=kh[/tex] ...(i)
Where, k is the constant of proportionality.
Putting m = 525 and h= 5, we get
[tex]525=k(5)[/tex]
[tex]\dfrac{525}{5}=k[/tex]
[tex]105=k[/tex]
Putting k=105 in (i), we get
[tex]m=105h[/tex]
Therefore, the required equation is [tex]m=105h[/tex].
Adrian is going to invest $9,900 and leave it in an account for 10 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Adrian to end up with $17,700?
Answer:
did you ever get the answer bc I am struggling on this, pls help.
Step-by-step explanation:
Answer: 5.81%
Step-by-step explanation: Delta Math
A = 17700. P = 9900. t = 10
17700 = 9900e^r(10)
17700/9900 = 9900e^10r/9900
1.7878788 = e^10r
In(1.7878788) = In(e^10r)
In(1.7878788) = 10r
In(1.7878788)/10 = 10r/10
0.058103 = r
5.8103% = r
r = 5.81%
Do ACT score reports come in the mail?
Answer: Yes
Step-by-step explanation:
They usually come in three months after you take the test. I think I got mine in the middle of May.
help me ASAP!!!!! Please
Answer:
Equation: [tex]4^2+b^2=17^2[/tex]
can also be simplified to 16 + b^2 = 289 or b^2 = 273
Determine which figure matches the pattern for the given base, side, and front.
Base
Side
Front
Answer:
the first one!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help..................
Answer:
87
Step-by-step explanation:
A^2+B^2=C^2
63^2+60^2=C^2
3969+3600=7569
Square root of 7569 is 87
Answer:
87
Step-by-step explanation:
Using Pythagoras' theorem in the right triangle.
The square on the hypotenuse (h) is equal to the sum of the squares on the other 2 sides, that is
h² = 60² + 63² = 3600 + 3969 = 7569 ( take the square root of both sides )
h = [tex]\sqrt{7569}[/tex] = 87
The recipe uses 1/2 cup of sugar for 1 cup of flour...how much flour should there be if there is 2 cups of sugar? *
Answer:
4 cups
Step-by-step explanation:
2 divided by 1/2 is 4 so there are 4 half cups of sugar.
Since the sugar is multiplied by 4 you have to multiply the flour by 4.
1*4=4
HELP FOR A BRAINLIEST :)) JHGJQETBHJ
show me ya solving out too
Answer:
32
Step-by-step explanation:
1 mile = 1.609 kilometers
Answer:
4 minus StartFraction n cubed Over 7 EndFraction + 3
Step-by-step explanation:
Let the number be n
Quotient of of a number cubed and seven: n³/7
Four less the quotient of a number cubed and seven: 4 - n³/7
Four less the quotient of a number cubed and seven, increased by three: 4 - n³/7 + 3
Write the equation of the line in slope-intercept form that is perpendicular to Y= 5x +4 and passes through the origin.
Answer:
y=-1/5x
For the equation of the line in slop intercept form
1. 12 + m = 10
I need help im not sure how to solve it
Evaluate 2x when X4
what’s the answer for this?
neda sells televisions she earns a fixed amount for each television and an additional $15 if the buyer gets an extended warranty. If neda sells 19 televisions with extended warranties, she earns $1,425. How much is the fixed amount neda earns for each television?
Answer:
$5
Step-by-step explanation:
15x18=270
1170-270=900
900/18=50
Answer:
$60
Step-by-step explanation: This helpful but I can not step by step
Please help!!! What type of transformation is shown from Triangle P to Triangle Q?
A. Reflection across the y axis
B. Rotation
C. Translation
D. Reflection across the x axis
Answer:
D
Step-by-step explanation:
Reflection across the x axis
This is your answer because it is reflection on the x axis
Hope this helps u :)
Pls mark brainlist
The transformation shown from Triangle P to Triangle Q is Translation.
What is a transformation?
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
Given that, Triangle P is transformed to Triangle Q.
The transformation shown is a translation transformation, because in a translation transformation, all the points in the object are moved in a straight line in the same direction.
Hence, The transformation shown from Triangle P to Triangle Q is Translation.
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Use the figure shown below to find the value of x
what i don't understand why you are not answer that question
60 children go to a nursery. The ratio of girls to boys is 3 : 2
The children go to the nursery either in the morning or in the afternoon.
Three quarters of the children go to the nursery in the morning.
The rest of the children go to the nursery in the afternoon.
7 boys go to the nursery in the afternoon.
Work out how many girls go to the nursery in the morning.
Answer:
Girls (Morning) = 16
Step-by-step explanation:
60 children go to a nursery. The ratio of girls to boys is 3 : 2
Number of Boys = 3 / (3 + 2) * 60 = 3/5 * 60 =36
Number of Girls = 2 / (3 + 2) * 60 = 2/5 * 60 = 24
Three quarters of the children go to the nursery in the morning.
Number of children (Boys + Girls) = 3/4 * 60 = 45
The rest of the children go to the nursery in the afternoon.
Number of children (Boys + Girls) = 60 - 45 = 15
7 boys go to the nursery in the afternoon.
Boys + Girls = 15
Girls (Afternoon) = 15 - Boys = 15 - 7 = 8
Work out how many girls go to the nursery in the morning.
Girls (Morning) + Girls (Afternoon) = Girls (Total)
Girls (Morning) + 8 = 24
Girls (Morning) = 24 - 8
Girls (Morning) = 16
Answer:
The number of girls that go to the nursery in the morning are 28 girls
Step-by-step explanation:
The question is a word problem and the parameter given are as follows;
The number of children that go to the nursery, n = 60
The ratio of girls to boys = 3 : 2
The number of periods the children can attend the nursery = 2, morning or afternoon
The proportion of the children that go to the nursery in the morning = 3/4
The proportion of the children that go to the nursery in the afternoon = All those that do not go in the morning
The number of boys that go to the nursery in the afternoon = 7 boys
Let, 'x', represent the number of girls in the school, and let 'y', represent the number of boys in the school
Therefore, we have the following possible equations;
x + y = 60
x:y = 3:2
Therefore, the proportion of the total number of children that go to the nursery that are girls, x = 3/(3 + 2) = 3/5
The number of girls that go to the nursery, x = n × 3/5 = 60 × 3/5 = 36 girls
The number of girls that go to the nursery, x = 36 girls
∴ The number of boys that go to the nursery, y = 60 - 36 = 24 boys
The number of boys that go in the morning = y - (The number of boys that go to the nursery in the afternoon)
∴ The number of boys that go in the morning = 24 boys - 7 boys = 17 boys
The total number of children that go to nursery in the morning = 3/4 × (The number of children that go to the nursery, n)
∴ The total number of children that go to nursery in the morning = 3/4 × 60 = 45 children
The number of girls that go to the nursery in the morning = (The total number of children that go to nursery in the morning) - (The number of boys that go in the morning)
Therefore, the number of girls that go to the nursery in the morning = 45 children (girls + boys) - 17 boys = 28 girls
The number of girls that go to the nursery in the morning = 28 girls
Select the equation that represents the problem. Let x represent the unknown
number
Mr. Weaver bought 192 crayons for his class. The crayons
came in packs of 24. How many packs did he buy?
Answer:
A. 24x = 192
Step-by-step explanation:
Answer:
A. 24x = 192
Step-by-step explanation:
you would have to multiply 24 x 8 in order to 192!
So yes, the correct answer would be A. 24 x = 192!
Its simple you just have to multiply how many packs x how many crayons he bought! :D
Please help me!!! This is due in an hour!!!
the spinner shown is
Answer:
where is the spinner
Step-by-step explanation:
QUICK PLEASE I WILL GIVE BRAINlYIST
Ms. Durand has an obsession with Christmas. She is standing 8ft away from a 20ft Christmas Geometree. She wonders, "hmmm, what is the angle of elevation from myself to the star on the top of the tree?"
Answer:
68.20°
Step-by-step explanation:
Using Pythagoras rule :
Tanθ = opposite / adjacent
Adjacent = 8ft
Opposite = 20
Tanθ = 20 / 8
θ = tan^-1(20/8)
= 68.198590
Hence, angle of elevation = 68.2°
There is 1 teacher for every 18 students on a school trip. How many teachers are there if 72 students go on the school trip?
Move values to create a proportion that can be used to solve the problem.
Answer:
4 teachers
Step-by-step explanation:
If there is one teacher for every 18 students, you would divide the total number of students on the trip (72) by 18..
72/18= 4
so the answer is 4
Nicole plans to watch 3 movies each month . Write an equation to represent the total number of movies n that she will watch in months .
please help! i really need this
Answer:
1/6
Step-by-step explanation:
on the cube, each number is listed one time. if he rolls the cube one time, he has 1/6 chance of it landing on 4.
Answer:
1/6
Step-by-step explanation:
1/6th is the answer. The cube has sides that are labeled 1 to 6. Since 4 is one number that is a possibility and there are 6 possibilities that the cube may roll another number. He has 1/6th of a chance that the number lands on 4.
Work out
m
and
c
for the line:
y
=
9
x
Answer:2
Step-by-step explanation:
2
For line y = 9x, m = 9 and c = 0
What is the slope-intercept form of the line?"y = mx + c, where m is the slope of the line and c is the y-intercept of the line."
What is slope of the line?"It is the change in y coordinate with respect to the change in x coordinate."
What is y-intercept?"It is a point at which a line intersects the Y-axis."
For given question,
We have been given an equation of line y = 9x
By comparing above equation of line with the slope-intercept form of line,
m = 9 and c = 0
This means the slope of the line y = 9x is 9 and the y-intercept is 0
Therefore, for line y = 9x, m = 9 and c = 0
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PLEASE HELP MANY POINTS AND WILL MARK BRAINLIEST
Answer:
x=42
Step-by-step explanation:
i don't know how to explain it??
not good at explaining things
Work out m and c for the line:
y= 2x + 5
factor the expression 3x²-7x+4 completely
Answer:
2x+4
Step-by-step explanation:
Please helppp me with this math problem
Answer:
length: 38 feet
width: 10 feet
area: 380 ft²
Step-by-step explanation:
The scale between the drawing and the actual studio is 2 in : 5 ft. If we divide both sides by 2, we find that the scale is 1 in : 2.5 feet.
For the first number, 15.2 inches, if we multiply it by 2.5 and change the label to "feet", we can find the real length.
15.2 * 2.5 = 38.
The length is 38 feet.
For the width, do the same thing.
4 * 2.5 = 10
The width is 10 feet.
Area is length times width. So if we plug in the numbers we just found:
38 * 10 = 380.
The area is 380 ft²