The value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex]
Given to us
The value of cement mixer when bought, [tex]P[/tex]= $ 54,205
the value of cement mixer after 1 year, [tex]P_1[/tex]= $ 47,158. 35
the value of cement mixer after 2 year,[tex]P_2[/tex]= $ 41,027. 76
To find out depreciation we can use the formula for depreciation,
[tex]P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years[/tex]
By putting the value, in the formula we get,
[tex]P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13[/tex]
Therefore, putting the value of [tex]r[/tex] and [tex]P[/tex] in depreciation formula for [tex]t[/tex] years we get,
[tex]P_n= P(1-r)^n[/tex]
[tex]f(t) = 54,205(0. 87)^{t}[/tex]
Hence, the value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex].
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Make x the subject of the formula,
y (x-4) squared +6
Answer:
Is "y (x-4) squared +6": y = (x-4)^2 + 6?
If so,
x = y^(1/2) - 6^(1/2) + 4
Step-by-step explanation:
Assuming the equation is: y= (x-4)^2 + 6y^(1/2)= (x-4) + 6^(1/2)
(x-4) = y^(1/2) - 6^(1/2)
x = y^(1/2) - 6^(1/2) + 4
The sum of two numbers is 48.when the smaller number is subtracted from the larger number,the difference is 12. What are the two numbers
Answer:
The two numbers are:
30 and 18
Step-by-step explanation:
a + b = 48
a - b = 12
From the first eq.
a = 48 - b
Replacing this last value in the second eq.
(48 - b) - b = 12
48 - 2b = 12
48 - 12 = 2b
36 = 2b
36/2 = b
18 = b
from the first eq.
a + 18 = 48
a = 48 - 18
a = 30
Check:
from the second eq.
a - b = 12
30 - 18 = 12
find the missing value y=-2+4
Answer:
y = 2
Step-by-step explanation:
Which congruence criteria is met in the following scenario?
ASA
SAS
HL
AAS
SSS
Answer:
B) SAS
Step-by-step explanation:
Explanation:
SAS = side angle side
The sides with the tickmarks form one pair of congruent sides, and refer to the first "S" of "SAS".
The marked angles are congruent, and they refer to the "A" in "SAS".
Lastly, the overlapping or shared side TJ leads to the second "S" of "SAS".
Notice how the angles are between the sides mentioned. The order is important.
Which of the following is a required deduction?
A. Health insurance
B. Disability insurance
C. FICA
D. State sales tax
To withhold a percentage of an employee's wages or salary and contribute an equal amount to these programs.FICA s a required deduction. Thus, option C is correct.
What is the FICA?FICA (Federal Insurance Contributions Act) is a required deduction that includes Social Security and Medicare taxes for employees in the United States.
Health insurance and disability insurance may be offered by employers but are not required by law to be deducted from an employee's paycheck.
The current FICA tax rate is 7.65%, which includes a 6.2% Social Security tax and a 1.45% Medicare tax.
State sales tax is not a deduction from an employee's paycheck. It is a tax paid by consumers on purchases they make.
Therefore, FICA s a required deduction.
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can someone help with this
Answer:
B and C
Step-by-step explanation:
Solve the inequalities d/13_>-3
Answer:
d > -39
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Is this relation a function? Justify your answer.
11
10
.
9
8
7
6
5
.
- NAU
4
3
2
1 2 3 4 5 6 7 8 9 10 11
O A. Yes, because every x-value corresponds with a single y-value.
O B. Yes, because the number of x-values is the same as the number of
y-values.
O C. Yes, because every x- and y-value is positive.
D. No, because two points with the same y-value have different x-
values.
st
The reason why the given graph relation is considered to be a function is because;
A. Yes, because every x-value corresponds with a single y-value.
From the given graph, we see the (x, y) coordinates as;
(5, 4)
(7, 2)
(6, 9)
(3, 10)
Now, we see that none of the x-values are the same and likewise none of the y-values are the same.
This means that each of the x-values have a unique y-value.
Thus, it can be said to be a function
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3a + 5b - 4a + 2b = *
7a
23ab
a + b
-a + 7b
Answer:
-a + 7b
Step-by-step explanation:
This problem is asking you to simplify the equation.
In order to do this, we will combine like terms (like terms are terms that share the same variable and/or exponent).
So we will combine 3a and -4a to get -1a or just -a, and now we'll combine 5b and 2b to get 7b.
So all together we have -a + 7b.
Hope this helps you :)
[tex]\\ \sf\Rrightarrow 3a+5b-4a+2b[/tex]
[tex]\\ \sf\Rrightarrow 3a-4a+5b+2b[/tex]
[tex]\\ \sf\Rrightarrow (3-4)a+(5+2)b[/tex]
[tex]\\ \sf\Rrightarrow -a+7b[/tex]
[tex]\\ \sf\Rrightarrow 7b-a[/tex]
All I need is the answer Please and thank you
Should be 40ft. If not, I dearly apologize.
Answer:
40ft tall
Step-by-step explanation:
Hope this helps :)
A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table.
A 2-column table with 7 rows. The first column is labeled x with entries 2, 3, 5, 6, 7, 8, 9. The second column is labeled f(x) with entries 12, 10, 10, 8, 9, 5, 6.
Using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18?
−5
−2
3
12
Answer:
-2
Step-by-step explanation:
f(x)≈ -0.86x+13.5
putting x=18 in f(x), we get
f(x)≈ -0.86×18+13.5
⇒ f(x)≈ -15.48+13.5
⇒ f(x)≈ -1.98
⇒ f(x)≈ -2
Answer:B
Step-by-step explanation:
The answer is B also known as -2
i need help with this!!
Answer:
Kim is younger than 6 years
Step-by-step explanation:
Answer:
Step-by-step explanation:
if 3 chickens in 3 days layed 3 eggs how many eggs would be layed by 12 chickens in 12 days
Answer:
142
Step-by-step explanation:
(if I'm doing the math in my head right)3×3×3 to find the number of eggs that three chickens would lay in three days, so that would be 27it seems like it's saying that chickens can only lay 3 eggs per day, so what I would do is multiply 12*12 (144) and then multiply 144 by 3so maybe 142?The top row contains solutions for the value of c. The bottom row contains equations that must be solved to find c. Drag each solution into the box with the matching equation.
7
20
12
9
c is 4 times as many as 5.
27 is c times as many as 3.
6 times as many as c is 72.
8 more than c is 15.
which one is it??
Catherine walks her dog
[tex] \frac{3}{4} [/tex]
mile everyday. How far does she walk each week?:
Answer:
[tex]5\frac{1}{4}[/tex]
Step-by-step explanation:
Catherine walks her dog 3/4 a mile everyday.
We want to find how far she walks each week.
There are 7 days a week and she walks 3/4 a mile everyday so weekly she walks 3/4 * 7 = 5 1/4 mile a week.
expand and simplify (m+7) (m+3)
Answer:
m^2+10m+21
Step-by-step explanation:
Distribute:
m times m is m^2
m times 3 is 3m
7 times m is 7m
7 times 3 is 21
=> m^2+3m+7m+21
Add 3m and 7m
=> m^2+10m+21
Thus the equation is
m^2+10m+21
Hope this helps!
(m + 7)(m + 3)
= m(m + 3) + 7(m + 3)
= m² + 3m + 7m + 21
= m² + 10m + 21
____
Hope it helps ⚜
Fabric length: 3 7/8 yd.
Cost per yard: $9.25
Total cost (rounded to the nearest cent): ?
A. $27.75
B. $34.96
C. $36.84
D. $35.84
Help needed read carefully
I got a 30 on a math test and t hmm e only way to get 65 (passing grade) is to solve the mystery number
I am a factor of 5 and when you pair me up with 15 I am almost a gcm of 30
I am larger than 20 and less than 40
what number am i?
Answer:
4
Step-by-step explanation:
The factors of 5 and 15 are 1, 5 and 1, 3, 5, 15 respectively.
How many factors does 15 have?
4 factors
Factors of 15 are the list of integers that can be evenly divided into 15. It has a total of 4 factors of which 15 is the biggest factor and the positive factors of 15 are 1, 3, 5, and 15.
mr polaski bought a variety pack of muffins that has 9 apple muffins. the ratio of apple muffins to blueberry muffins in variety pack is 3:5 . how many blueberry muffins are in ms polaski's variety pack?
Answer:
He has 15 Blueberry Muffins
Step-by-step explanation:
If the ratio is 3 to 5, and he has 9 apples, that means that he has 3 times the normal ratio. So, multiply 5 by 3 and you get 15 blueberries.
Alguien me dice que debo hacer aqui porfavor es para un examen
Answer:
Cuando tenga problemas con una pregunta, venga aquí y también lo ayudaremos si no recibe la pregunta, intente omitirla.
Step-by-step explanation:
In which quadrant does the point (-6,4) lie?
2y = 3x-1
4x/y + 9y/x = 15
Find x and y
Answer:
(x, y) = (3/7, 1/7) or (3, 4)
Step-by-step explanation:
The second equation can be rearranged to ...
4x^2 +9y^2 = 15xy . . . . . . multiply by xy
4x^2 -15xy +9y^2 = 0 . . . subtract 15xy
(4x -3y)(x -3y) = 0 . . . . . . factor
This resolves to two linear equations:
4x -3y = 0
x -3y = 0
__
Combined with the first equation, we get two systems of equations. We can solve both of them at once by substituting for y and using a stand-in for the coefficient of x.
y = (3x -1)/2 . . . . first equation solved for y
Cx -3(3x -1)/2) = 0 . . . . substitute for y in the 2nd/3rd equations (C = 1 or 4)
2Cx -9x +3 = 0 . . . . . multiply by 2
x(2C -9) = -3 . . . . . . .subtract 3
x = -3/(2C -9) = 3/(9 -2C) . . . . . remembering that C = 1 or 4
__
For C=1, x = 3/(9 -2) = 3/7
y = (3(3/7) -1)/2 = 1/7
For C=4, x = 3/(9 -8) = 3
y = (3(3) -1)/2 = 4
The solutions are (x, y) = (3/7, 1/7) and (3, 4).
_____
Additional comment
We could have substituted for y in the quadratic form of the second equation. This would give a quadratic in x that could be solved in any of the usual ways.
The rocket club is 60% boys. The number of boys is 3 less than 2 times the number of girls. Hov
many girls and how many boys are in the club?
Answer:
no of girls - 300
no of boys - 450
no of girls - 6
no of boys - 9
What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
Given
Let boys be x and girls y
x = 2y-3
x - 2y = -3 ------(i)
x = 60/100(x+y)
10x = 6x + 6y
4x = 6y
2x = 3y
2x - 3y =0------(ii)
Subtract (ii) from (i)*2
no of girls - 6
no of boys - 9
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What is the square root of 12a^3b^5 times the square root of 6ab^2?
Step-by-step explanation:
sqrt(12×a³b⁵) × sqrt(6×ab²)
the content of multiplied square roots can be combined into one square root :
sqrt(12×6×a³×a×b⁵×b²) = sqrt( 72a⁴b⁷) =
= sqrt(4×9×2 × a⁴ ×b⁶×b) = 2×3×a²×b³×sqrt(2b) =
= 6a²b³×sqrt(2b)
Hi this is algebra math. It’s been a while since I’ve been on this app but I need some help on if the problem graphed the slope right or wrong.
44,880 2 poir 8) A pen cost $39 and a pencil cost $17 less. What is the total cost of one pen and two pencils? *
Answer:
check online for more information
this is the question.
solve (3.4)x(0.2)
Answer:
0.68
Step-by-step explanation:
Answer:
0.68
Step-by-step explanation:
There are 5 groups of 5 pencils. Which number sentence can you use to find how many pencils there are in all
Answer:
5x5= 25
Step-by-step explanation:
7y-9=-3
What is the value of 9? HELP!!!
wait im wrong i didnt even read that correctly
Answer:
Sry but I don't understand what you wrote
Step-by-step explanation:
Which statements are true about the scatter plot? Select all that apply:
(Graph is attached)
A. Most players are between 60 & 70in tall
B. Players scored between 40 & 80 points
C. There is an outlier at about (70,23)
D. There is a weak positive association between height & points scored
Answer:Nooo please don’t put B. It’s A,C, and D
Step-by-step explanation: