D. A car was sold for
$26,350. Its value decreases
by 17% each year.
a) Find an explicit formula
for cost of the car Cn after
the nth year.
b) What is the car's value
after 8 years?
c) After 3 years, how much
has the car's value
decreased?
Answers
a. The explicit formula for the cost of the car in the nth year is $26,350(0.83^n) .
b. The car's value after 8 years is $5,934.79.
c. The decrease in the value of the car is $11,283.41.
The formula that can be used to determine the value of the car with a decline in value is:
FV = P (1 - r)^n
FV = Future value of the car
P = cost of the car
R =rate of deprecation
N = number of years
Cost of the car after n years = $26,350 x (1 - 0.17)^n
$26,350(0.83^n)
Car's value after 8 years = $26,350 x (1 - 0.17)^8
$26,350(0.83^8) = $5,934.79
Decrease in the value of the car after 3 years= cost of the car - value of the car in 3 years
Value of the car in 3 years = $26,350 x (1 - 0.17)^3 = $15,066.59
$26,350 - $15,066.59 = $11,283.41
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Related Questions
please help me asappp :D
ty :)
Answers
Answer:
5x + 8y = 24
Step-by-step explanation:
Multiply the equation 8
8 ( y = -5x/8 + 3 )
8y = -5x + 24
5x + 8y = 24
What is the solution of VX+ 12 = x?
O x=-3
O x = 4
O x= -3 or x = 4
O no solution
Answers
Answer: No solution
Step-by-step explanation:
VX+12-12=x-12
VX=x-12
VX/x=x/x-12/x= X≠0
A worker at a snack stand opened a new box of spoons. The first day, the worker used 25 spoons from the box. The second day, the worker used 15% of the remaining spoons in the box. A total of 140 spoons were used on the second day. What was the original number of spoons in the box before any spoons were used?
Answers
The original number of spoons is 958
Let the total number of spoon be x.
The first day, 25 spoons were removed.
So, the remaining spoon (r) is:
[tex]r =x -25[/tex]
15% of the remaining spoon were used.
So, we have:
[tex]15\% \times r =15\% \times (x -25)[/tex]
This 15% represents 140 spoons.
So, the equation becomes
[tex]15\% \times (x -25) = 140[/tex]
Express 15% as decimal
[tex]0.15 \times (x -25) = 140[/tex]
Divide both sides by 0.15
[tex](x -25) = 933[/tex]
Remove brackets
[tex]x -25 = 933[/tex]
Add 25 to both sides
[tex]x= 958[/tex]
Hence, the original number of spoons is 958
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A carpenter is framing an opening in a wall to hang a rectangular door. Which properties must the door frame have to ensure that the door hangs properly?
1a) The top and bottom are parallel.
2b) The top and right side form a right angle.
4c) The left side and right side are parallel.
5d) The left side and bottom form a right angle.
Answers
Find the equation of a line that passes through the point (1,4) and has a gradient of -4.
Leave your answer in the form
y
=
m
x
+
c
Answers
Answer:
y= -4x+8
Step-by-step explanation:
y-y1= m(x-x1)
y-4 = (-4)(x-1)
y-4 = -4x+4
y = -4x+4+4
y = -4x+8
a total materials variance is analyzed in terms of
Answers
price and quantity variances.
quantity and quality variances.
buy and sell variances.
tight and loose variances.
price and quantity variances.
What is m<6
A.80
B. 100
C.70
D.110
Answers
Step-by-step explanation:
to fully answer we would need to see at least one specific size (segment lengths, angle sizes).
but there is not one in the whole visible picture. so, everything just stays relative.
just be the presentation in the picture, angle 6 is larger than 90 degrees. so, B or D would be right.
if it helps you, it is clear that 6 = 1 = 9 = 14 = 180-2 = 180-5 = 180-10 = 180-13.
For what integer value of x is f(x) = -10 if f(x) = - 4x + 2?
Answers
Answer:
x = 3
Step-by-step explanation:
Given the linear function, f(x) = -4x + 2, for which we must determine the integer value of x that will provide an output of f(x) = -10:
Solution:The first step is to substitute the output value, f(x) = -10, into the given function, and solve for its corresponding input value, x:
f(x) = -4x + 2
-10 = -4x + 2
Subtract 2 from both sides:
-10 - 2 = -4x + 2 - 2
-12 = -4x
Divide both sides by -4 to solve for x:
[tex]\displaystyle\mathsf{\frac{-12}{-4}\:=\:\frac{-4x}{-4} }[/tex]
x = 3
Hence, when x = 3, f(x) = -10.
Double-check:Substitute the value of x = 3 into the original function:
f(x) = -4x + 2
f(3) = -4(3) + 2
f(3) = -12 + 2
f(3) = -10 ⇒ f(x) = -10.
Therefore, the input value of x = 3 gives an output value of f(x) = -10.
Nikita began with the figure shown.
A.
B
She completed the following actions to construct the angle bisector of ZABC, but made a mistake in one of the steps. Select the step in which
her mistake was made.
Step 1: She placed the compass on point B and drew an arc which intersects ray BA at point D and ray BC at point E.
Step 2: Next, she placed the compass on point D and drew an arc on the interior of ZABC.
Step 3: Then, she placed the compass on point C and drew an arc on the interior of ZABC, which intersects the previous arc.
Step 4: She labeled the intersection of the two arcs as point F and drew the ray BF, which represents the angle bisector
of ZABC.
Answers
The angles formed by the angle bisector BF are ∠FBA and ∠FBC.
The step in which the mistake was made is step 3; Then, she placed the compass on point C and drew an arc on the interior of ∠ABC which intersects the previous arc.
Reasons:
The steps to draw an angle bisector are;
Place the compass at the vertex of the angle and draw an arc intersecting the the two rays forming the angle at points D and E
Place the compass at point D and draw an interior arc to the given angle
Place the compass at point E and draw a second interior arc intersecting the previous arc
The point of intersection of the two arcs can be labelled F and joined to the vertex of the given angle to complete the angle bisection
Therefore, the step in which the mistake was made is; Step 3 where the compass is placed at point C rather than point E to draw the second arc of the angle bisector
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Answer:
Step three
Step-by-step explanation:
she placed the point on C when it was supposed to be on E
determine whatever ABCD is a parallelogram by using the midpoint formula.
A(3,3) B (1.2) C(-3.1) D (-1.4)
Answers
Answer:
Not a parallelogram.
Step-by-step explanation:
By the midpoint formula, the midpoint of a segment between [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] is:
[tex]\begin{aligned} \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right)\end{aligned}[/tex].
A quadrilateral is a parallelogram if and only if the midpoints of the two diagonals are the same.
The two diagonals of quadrilateral [tex]{\sf ABCD}[/tex] are segment [tex]\sf{AC}[/tex] and segment [tex]{\sf BD}[/tex], respectively.
Using the midpoint formula, the midpoint of segment [tex]{\sf AC}[/tex] (between [tex]{\sf A}\; (3,\, 3)[/tex] and [tex]{\sf C}\; (-3,\, 1)[/tex]) would be:
[tex]\begin{aligned} & \left(\frac{3 + (-3)}{2},\, \frac{3 + 1}{2}\right) \\ =\; & (0,\, 2)\end{aligned}[/tex].
Likewise, the midpoint of segment [tex]{\sf BD}[/tex] (between [tex]{\sf B}\; (1,\, 2)[/tex] and [tex]{\sf D}\; (-1,\, 4)[/tex] would be [tex](0,\, 3)[/tex].
Thus, quadrilateral [tex]{\sf ABCD}[/tex] would not be a parallelogram since the midpoints of its two diagonals are not the same.
The area of the triangle below is 14.96 square inches.
What is the length of the base?
Answers
Answer:
base = 6.8 in
Step-by-step explanation:
area of triangle = 1/2 base height
where height = 4.4 in
area = 14.96 in²
plugin values into the formula
14.96 = 1/2 base (4.4)
base = 14.96 (2)
4.4
base = 6.8 in
Lyssa and Carlos own a hardware store. They sell a certain type of light bulb in packages that each contain 24 bulbs. The back of each package says, " The expected number of broken or defective packages per bulb is 0.25"
Lyssa says, "If we look at 100 packages, we expect to see a total of about 250 broken or defectve bulbs"
Carlos says, "Any given package most likely contains 0.25 broken or defective bulbs".
Which Statement is correct based on the expected value?
A. Only Lyssa
B. Only Carlos
C. Both Statements are correct.
D. Neither Statement is correct.
Answers
Answer:
Neither statement is correct
Step-by-step explanation:
Khan
Answer:
Neither statement is correct
Step-by-step explanation:
Answer on Khan Acadmey
Work out m and c for the line: 2 y + 3 x = − 5
Answers
Answer:
m is -3/2
c is -5/2
Step-by-step explanation:
The standard linear equation is given by;
[tex]{ \tt{y = mx + c}}[/tex]
» m is the slope and c is the y-intercept
Then, our slope is;
[tex] { \tt{2y + 3x = - 5 }} \\ \\ { \tt{2y = - 3x- 5}} \\ \\ { \tt{y = - \frac{3}{2}x - \frac{5}{2} }}[/tex]
additive inverse of −9x+3
Answers
Answer:
(3x−4) −(x−5)
Step-by-step explanation:
Answer:
The additive inverse of −9x + 3 is 9x - 3Step-by-step explanation:
All we need to do is multiply −9x + 3 by -1.=> -1(−9x + 3)=> 9x - 3Therefore, the additive inverse of −9x+3 is 9x - 3.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
At what point(s) does the parabola,
y
=
x
2
−
2
, intersect the line,
y
=
−
x
Answers
Answer:
Please check the formatting when posting. I'm assuming these are the equations:
y=x^2 - 2
y=−x
Step-by-step explanation:
We can either graph the equations or solve them. I use graphing - see the attachment. The lines intersect at (-2, 2) and (1,-1)
1. Graphing
See attached graph
(-2, 2) and (1,-1) are the intersection points
2. Solving
y=x^2 - 2 Use y=−x in this equation:
-x = x^2 - 2
0 = x^2 + x - 2
0 = (x+2)(x-1)
x = -2 and +1
(-2, 2) and (1,-1) are the intersection points
What is the surface area of the cylinder with height 2 in and radius 8 in? Round your
answer to the nearest thousandth.
Answers
Answer:
502.655
Step-by-step explanation:
The actual answer was 502.655
Can someone plz help Me?
Answers
the answer to your question is B. A 5-minute reduction in the time to run a race
Answer: B
Step-by-step explanation: it is B bc all of them r postitive... 5 more worker is more people to help at a buisness
HAVE A WONDERFUL DAY!
The radius of a circle is 4.2 m. Find the circumference to the nearest tenth.
Answers
PLEASE HELP ASAP
Simple interest:
The length of time for £5000 to earn £1000 if invested at 10 percent per annum
Answers
Answer:
2 years
Step-by-step explanation:
1) principle:$5000
Rate : 10%
S.I = $1000
Therefore length of time =
S.I x 100 divided by Principle x rate
= 1000 x 100 divided by 5000 x 10
Answer= 2 years.
If correct please give brainliest
Stay safe and healthy
Thank You
what is the probability of flipping 3 coins on the same side that is getting either all heads or all tails? write the exact decimal answer withput rounding
Answers
As a person pedals the bike, what forces oppose motion? As the person goes faster, what happens to the amount of air resistance?
Answers
The force that opposes the motion is friction and air resistance plays a part in the opposing force to the motion. The faster you go the more amount of air resistance makes contact into you. An example is a motorcycle rider and you turn over and see their hair and clothes moving really fast.
Mark this brainliest if this helped!
Answer:
Step-by-step explanation:
Wind, friction and terrain (flat versus hilly) all oppose motion of the bike. Air resistance increases as the bicyclist goes faster (there's none at 0 mph, a significant amount at 30 mph, a greater amount at 40 mph, and so on).
What is the value of -2/3(24-16/3)
Answers
Answer:
-12.4444444443
Step-by-step explanation:
BODMAS rule :
Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.
16/3 = 5.33333333333
24-5.33333333333 = 18.6666666667
-2/3 = -0.66666666666
-0.66666666666 x 18.6666666667 = -12.4444444443
What is the value of x? Leave your answer in simplest radical form.
Answers
Answer:
sqrt 52
Step-by-step explanation:
use the pythagorean thereom
side a - 4
side b - 6
to find the hypotenuse, simply square both sides.
4² + 6²
4 x 4 = 16
6 x 6 = 36
add these two together
you should get 52.
After finding the combined side length, find the inverse operation of squared.
The inverse operation is the square root.
So find the square root of 52.
√52 = 7.21110255
round to the nearest tenth.
the answer should be 7.2
But to keep it in radical form the answer is sqrt 52
The value of x is 2√13.
Step-by-step explanation:With the help of Pythagoras theorem, we will find the value of x.
=> x² = 6² + 4²=> x² = 36 + 16=> x² = 52=> √x² = √52=> x = √52=> x = √2 x 26=> x = √2 x 2 x 13=> x = 2√13Conclusion:Therefore, the value of x is 2√13.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
A cyclist travels 4 miles in 20 minutes and then a further 6 miles in 30 minutes without stopping. Calculate the cyclist's average speed in mph.
Answers
Answer:
24mph
Step-by-step explanation:
convert 20 mins and 30 mins to hrs by dividing by 60
4/(20/60)=12
6/(30/60)=12
12+12=24
Cyclist's average speed is 12 mph.
What is Speed?Speed is calculated as the ratio of the distance travelled by an object to the time taken to cover the distance.
It can also be defined as the rate of change of position of anything in any direction.
Speed is a scalar quantity as it does not have direction.
Total distance travelled by the cyclist = 4 miles + 6 miles
= 10 miles
Total time taken by the cyclist = 20 minutes + 30 minutes
= 50 minutes
We need the average speed in mph or miles per hour.
We know that,
60 minutes = 1 hour
1 minute = 1/60 hour
50 minutes = [tex]\frac{1}{60}[/tex] × 50 hour
= [tex]\frac{5}{6}[/tex] hour
Average Speed = Total distance travelled / Total time taken
= 10 miles / (5/6) hour
= 10 × [tex]\frac{6}{5}[/tex]
= 12 miles per hour
Hence the average speed of the cyclist is 12 miles per hour.
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Max correctly starts solving the linear equation 1/2(x+8) = - 3 by writing x+8= - 6. Which of the following properties justifies what Max wrote?
1) The distributive property
2) The commutative property of addition
3) The addition property of equality
4) The multiplication property of equality
Answers
76 is 0.4% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 76. Slightly less than 76, slight greater than 76, or a lot greater than 76? Explain.
Answers
Answer:
Step-by-step explanation:
It's a lot greater. If you take 0.4% of some number and the answer is 76, you better be starting with something that is very large. The formula will make the solution automatic.
Formula
Let the number be x
0.4% x = 76
0.4% = 0.4/100
0.4 / 100 * x = 76 Multiply both sides of the equation by 100
0.4x = 76*100 Combine the right.
0.4x = 7600 Divide by 0.4
x = 7600/0.4
x = 19000 Which is quite a bit larger than 76
Answer:
greater than 76
Step-by-step explanation:
hope it will help goodbye
Gatorade comes in two different sizes A 16 ounce costs $2.10 and a 20nounce bottle costs $3.15 which is a better deal to explain your thinking.
How much do you save per ounce by buying the better one?
Answers
Based on the cost of each bottle, the better deal is the 16 ounce size and the amount saved per ounce is $0.03
The first step is to find the cost per ounce of each bottle.
For the 16 ounce bottle:
= 2.10 / 16
= $0.13 per ounce
For the 20 ounce bottle:
= 3.15 / 20
= $0.16
The 16 ounce size is therefore better and the amount saved per ounce is:
= 0.16 - 0.13
= $0.03
In conclusion, the 16 ounce is better as it saves $0.03 per ounce.
Find out more at https://brainly.com/question/16805756.
Write a function rule for "The output is three times the input increased by two
A) y=5x
B) y=3x+2
C) y=3x - 2
D) y=2x+3
Answers
X is the input.
Three times the input would be 3x
Increased by two would be adding two at the end.
Answer: B. y = 3x + 2
Find the measure of the angle x to the nearest tenth. Question 7 options: 33. 5° 56. 5° 28. 9° 44. 3°.
Answers
The question is an illustration of right-angled triangles
The approximated value of x is 33.5 degrees
The given parameters are:
[tex]\theta = x[/tex]
[tex]Hypotenuse = 58[/tex]
[tex]Opposite = 32[/tex]
To determine the measure of angle x, we simply make use of the following sine ratio.
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
So, we have:
[tex]\sin(x) = \frac{32}{58}[/tex]
[tex]\sin(x) = 0.5517[/tex]
Take arc sine of both sides
[tex]x = \sin^{-1}(0.5517)[/tex]
This gives
[tex]x = 33.5[/tex]
Hence, the approximated value of x is 33.5 degrees
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will mark brainleist
Answers
Answer:
atoc40 /atob40/ctob20
i hope i help
Answer:
67
Step-by-step explanation:
angle c = angle b = 5x + 4
angle a = 46
A + B + C = 180
46 + 10x + 8 = 180
10x = 180 - 54
10x = 126
x = 12.6
5x + 4 = 12.6 x 5 + 4
= 67