Answer:
(a) The linear depreciation function of the car which gives the worth of the car y after a number of years, t is given as follows;
y = 25,425 - 2,739 × t
(b) The value of the car 7 years from now is $6,252
(c) $2,739 per year
Step-by-step explanation:
The manufacture's suggested retail price (MSRP) for the car = $25,425
The amount the car is expected to be worth in 5 years = $11,730
(a) The linear depreciation is given as follows;
[tex]Depreciation \ Per \ Year \ = \dfrac{Cost \ of \, Asset - Salvage \ Value}{Life \ of \, Asset \ in \ use}[/tex]
Where;
Cost of Asset = $25,425
Salvage Value = $11,730
Life of Asset in use = 5 years
We get;
[tex]Depreciation \ Per \ Year \ = \dfrac{\$ 25,425 - \$11,730}{5} = \$2,739/year[/tex]
Therefore, the linear depreciation function, can be written as follows;
y - 25,425 = -2,739×(t - 0)
y = -2,739·t + 0 + 25,425 = 25,425 -2,739·t
y = 25,425 - 2,739 × t
Where;
y = The expected worth of the car after a given number of years
t = The number of years used for the calculation of the depreciation
(b) The value of the car 7 years from now is given by substitution as follows;
Whet t = 7, we have;
y = 25,425 -2,739·t = y = 25,425 -2,739 × 7 = $6,252
The value of the car 7 years from now = $6,252
(c) [tex]Depreciation \ Per \ Year \ = \dfrac{\$ 25,425 - \$11,730}{5} = \$2,739/year[/tex]
The car is depreciating at a rate of $2,739 per year.
what is the simplified value of the expression -2.6+5.8
Answer:
[See Below]
Step-by-step explanation:
✦ Solve:
✧ -2.6 + 5.8 = 3.2
✦ Sometimes in math simplify could mean just solve and get the smallest version of that number. That's what it means in this case. So the simplified version would be 3.2.
~Hope this helps Mate. Feel free to message me if you need anything.
please i need help like right now
q(x) = 2x+5
f(x)= x^2+1
find (gof)(7)
Answer:105
Step-by-step explanation:
first find f(7)
(7)^2 + 1
=50
then put the answer for f(7) in g of x
2(50) + 5
=105
Simplify (6-2)(33)(3-6)
Answer:
-396
Step-by-step explanation:
Plug it into a calculator
4 x 33 = 132
132 x -3 = -396
4 x 33 x -3= 132 x -3= -396
evaluate f(g(5)) if F (x) = 5x + 2 and g (x) =X2 -4
Answer:
Step-by-step explanation:
g(5) = 5^2 - 4 = 25 - 4 = 21
f(21) = 5(21) + 2 = 105 + 2 = 107
When a number is doubled and then added to 24,the result is 49
Answer:
Algebraic equation ; 2x+24 =49
x = 12.5
Step-by-step explanation:
Let the unknown number be x
[tex]2(x) +24 =49\\\\2x +24 =49[/tex]
Collect like terms and simplify
[tex]2x =49-24\\2x =25\\[/tex]
Divide both sides of the equation by 2
[tex]\frac{2x}{2} = \frac{25}{2} \\\\x = 12.5[/tex]
Mike Is standing on a ladder that is partly in a hole he starts out on a rung that 6 feet underground climbs up 14 feet the climbs down 11 feet what is mikes final position relative to the ground level
Answer:
-3
mike's final position relative to the ground is 3 feet's underground
Step-by-step explanation:
We take positive value when he is above the ground and then take negative value when he is below or underground
6 feet's underground = -6
He climbs up 14 feet = +14
He climbs down 11 feet = -11
We are required to find his last position relative to ground level
= -6+14-11
= (-6) + (-11) + 14
= -17 + 14
= -3
So we have it that mike's final position relative to the ground is 3 feet's underground
What is the value of the expression below when z = 7 and w=10?
7z +10w
Answer:
149
Step-by-step explanation:
z = 7 and w = 10
Equation:
7z + 10w
Substitution:
49 + 100
Answer:
149
Hope this helps :)
The required value of the given expression at z = 7 and w = 10 is given as 179.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
z = 7 and w = 10
Now put these values in the given expression,
= 7z + 10w
= 7 × 7 + 10 × 10
= 49 + 100
= 149
Thus, the required value of the given expression is given as 179.
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i need help? i don’t understand this ?
Answer:
the answer is ab
Step-by-step explanation:
you should go to the x axis and go to the four then go up 7 and it should land on the line in between a and b
Let me know if this helps :)
Solve: x + 1 > -5 (7-2x)
Answer:
x < 4
Step-by-step explanation:
Please see attached picture for full solution.
solve for n. n-5•2/3=3/4
Exact form is N=49/12 mixed number form is N=4 1/12
Step-by-step explanation:you have to simplify both sides and then isolate the variable.
Answer:
n=49/12 or 4 1/12
Step-by-step explanation:
n-5•2/3=3/4
n-10/3=3/4
n=3/4+10/3
n=49/12 or 4 1/12
Red pencils cost 3 for 10¢. Blue pencils cost 5¢ each. Green pencils cost 2 for 5¢. If you can purchase any color you wish, what is the greatest number of pencils you can you can buy for 50¢?
Answer: 20 green pencils
Step-by-step explanation:
given data:
cost of red pencils = 3 for 10¢.
cost of green pencils = 2 for 5¢.
cost of blue pencils = 5¢/each.
Greatest number of pencils one can buy for 50¢ By choosi any color is 20pencils which is green
red pencils 50¢ = 15 pencils
green pencils 50¢ = 20 pencils
blue pencils 50¢ = 10 pencils
Answer:
20
Step-by-step explanation:
Which sequences are arithmetic? Select three options.
–8.6, –5.0, –1.4, 2.2, 5.8, …
2, –2.2, 2.42, –2.662, 2.9282, …
5, 1, –3, –7, –11, …
–3, 3, 9, 15, 21, …
–6.2, –3.1, –1.55, –0.775, –0.3875, …
Answer:
it should be 2nd option, 3rd, and 5th.
Step-by-step explanation:
From the given options
options I, III and IV are Arithmetic sequences.
Given :
we are given with sequences. we need to check which one is arithmetic sequence.
A sequence is arithmetic when the consecutive terms have common difference.
Lets check one by one
[tex]-8.6, -5.0, -1.4, 2.2, 5.8,......\\-5-(-8.6)=3.6\\-1.4-(-5)=3.6\\2.2+1.4=3.6\\[/tex]
Its arithmetic because common difference is same 3.6
2, –2.2, 2.42, –2.662, 2.9282, …
-2.2-2=-4.2
2.42+2.2=6.62
Its not arithmetic
5, 1, –3, –7, –11, …
1-5=-4
-3-1=-4
-7+3=-4
-11+7=-3
Common difference is -4. So it Arithmetic
–3, 3, 9, 15, 21, …
3+3=6
9-3=6
15-9=6
Its Arithmetic
–6.2, –3.1, –1.55, –0.775, –0.3875, …
-3.1+6.2=3.1
-1.55+3.1=1.55
Its not Arithmetic
So, options I, III and IV are Arithmetic sequences.
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4) If two cartons of soda cost $4.98, how much would 5 cartons of seda cost?
Cartons of Soda
Price
Help me do this please
Answer:
r = - 2
Step-by-step explanation:
Use the slope formula to find m then equate to - 1
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, r) and (x₂, y₂ ) = (9, - 5)
m = [tex]\frac{-5-r}{9-6}[/tex] = [tex]\frac{-5-r}{3}[/tex] = - 1 ( multiply both sides by 3 )
- 5 - r = - 3 ( add 5 to both sides )
- r = 2 ( multiply both sides by - 1 )
r = - 2
Se hizo un descuento por entrada así:10 % f1, 8 % f2, 6 % f3 y 4 % f4. Si los grupos entraron en las franjas 1, 2 y 4, ¿cuánto dinero NO tuvieron que pagar? A. $ 308000 C. $ 7700 B. $ 4492000 D. $ 96000
Gena's grandparents live 335.5 miles from Gena's house on a trip to visit them she drove 105.6 miles and stop to get something to eat she drove another 180 miles and stop for gas how many miles father did she have to drive to reach her grandparents house
Answer:
49.9
Step-by-step explanation:
335.5 minus 105.6 minus 180 = 49.9
PLEASE HELP!!!!There is an 80% chance of rain. The tennis team has a 75% chance of winning if it doesn't rain and only a 35% chance of winning if it does rain. Make a tree diagram with the following probabilities. ~Will mark brain
Answer:
00304761
Step-by-step explanation:
Can someone help me which are correct?
Answer:
Between the first option and the last option.
Step-by-step explanation:
first choice: c, a, d, b, e
last/fourth choice: a,c,d,b,e
Show that each function is a quadratic function by writing it in the form
f(x) = ax² + bx+c and Identify a, b, and c.
1. h(x) = 2(x + 1)(3x – 4)
Answer:
h(x) = 2x² - 2x - 8
Step-by-step explanation:
Step 1: Write out equation
h(x) = 2(x + 1)(3x - 4)
Step 2: FOIL
h(x) = 2(x² - 4x + 3x - 4)
Step 3: Combine like terms (x)
h(x) = 2(x² - x - 4)
Step 4: Distribute
h(x) = 2x² - 2x - 8
please help which system of inequalities is represented by the graph
A) y<1
y-x<0
B) y>1
y-x<0
C) y>1
y-x>0
D) y<1
y-x>0
which is a factor of the polynomial f(x)=6x^4 -21x^3-4x^2+24x-35
A: 2x-7
B: 2x+7
C: 3x-7
D:3x+7
Answer:
the answer is the first option, A) 2x-7
Step-by-step explanation:
Answer:
"Ay Cuz!" get it no okay but A is the answer
Step-by-step explanation:
which of the following expression, when evaluated, equals an irrational number ?
Answer:
the answer for number 38 is H
While hiking Mr.Condo burns 402 calories in 6 hours. how many calories does he burn in 60 minutes
EMERGENCY!!! Bro PLEASE Help ME! I'll Mark you as Brainliest from all my accounts! Given the pre-image coordinates (0, 5), (-3, 2), (4, -1) and transformed image coordinates (2, -5), (-1, -2), (6, 1), what is the coordinate transformation in function notation?
Answer:
it transformed each point 2 units to the left and 10 units down.
function notation; f(x)= (2+x) -10
Step-by-step explanation:
Overview of transformation
Answer:
THE banking industry’s collective response to the pandemic thus far has been notable. It was no easy feat to go fully virtual and execute an untested operating model in a matter of weeks. Despite some hiccups, many banking operations were executed smoothly. Customers were served, employees were productive, and regulators were reassured. Banks effectively deployed technology and demonstrated unprecedented agility and resilience.
When three times the sum of a number and seven is increased by ten, the result is four. What is the number ?
Answer:
x=9 :))
Step-by-step explanation:
First set up your equation.
"3 times" is multiplication
"THE SUM of A NUMBER and seven" that is parenthesis because of the multiplication before it
"is increased by ten" that is an addition at the end
Now we have 3(x+7)+10=4
Solve your equation!
Distribute the 3 now we have 3x+21+10=4
Add like terms
now it should look like this... 3x+31=4
Subtract 31 from both sides and it looks like...
3x=27
Divide by the x-value
x=9
The value of the number will be -9.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
The word expression is;
''Three times the sum of a number and seven is increased by ten, the result is four. ''
Now, Let a number be x.
Then, we can formulate the expression as;
3 (x + 7) + 10 = 4
Solve the expression for x as;
3 (x + 7) + 10 = 4
3x + 21 + 10 = 4
3x + 31 = 4
3x = 4 - 31
3x = -27
x = -9
Thus, The value of the number will be -9.
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2a=2b+c
I'm trying to find solve b
Answer:
[tex]b = \frac{2a - c}{2} [/tex]
Step-by-step explanation:
[tex]2a = 2b + c[/tex]
[tex] = > 2b = 2a - c[/tex]
[tex] = > b = \frac{2a - c}{2} [/tex]
A parking garage charges $1.75 for every hour of parking If C respresents the cost in dollars and t represents the time in hours,which the equation that correctly models this situation?
Answer:
C=1.75(t)
Step-by-step explanation:
The cost is however many hours spent multiplied by 1.75.
C=1.75(t)
Hope this helps :-)
if f(x)=3x^2+1 and g(x)=1-x, what is the vaue of (f-g)(2)?
[•12 •14 •36 •38]
Step-by-step explanation:
(f-g)(x) = f(x) - g(x).
When x = 2, f(2) - g(2) = 3(2)^2 + 1 - (1 - 2) = 12 + 1 + 1 = 14.