Given :
Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%.
Its current value is $2,000.
To Find :
Age of car.
Solution :
Price of car after 1 year :
[tex]P_1=P_o(1-0.35)[/tex]
Price of car after 2 year :
[tex]P_2=P_1(1-0.35)\\\\P_2=[P_o(1-0.35)](1-0.35)\\\\P_2=P_o(1-0.35)^2[/tex]
So, price of car after n years.
[tex]P_n=P_o(1-0.35)^n[/tex]
[tex]2000=16000(1-0.35)^n\\\\0.65^n=0.125\\\\n\times log(0.56)=log(0.125)\\\\n=\dfrac{log(0.125)}{log(0.56)}\\\\n=3.58[/tex]
Therefore, age of car in nearest whole number is 4 years.
Hence, this is the required solution.
Please answer correctly !!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!
Answer:
180
Step-by-step explanation:
Answer:
D. 180°
I hope this helps!
What is
4/5n - 14 = 62 ?
Answer:n=95
Step-by-step explanation:
Mrs. Barron's kitchen is shaped like a rectangle. She has a scale drawing of her kitchen with dimensions 8 inches and 6 inches. The scale of the drawing is LaTeX: \frac{1}{2}1 2inch = 1 foot. What is the perimeter of Mrs. Barron's actual kitchen? Group of answer choices
Answer:
48
Step-by-step explanation:
7 inches = 14 feet
There are 14 halves in 7 inches.
5 inches = 10 feet
There are 10 halves in 5 inches
14+14+10+10=48
A sporting goods factory puts 82 playground balls in each shipment. How many playground
balls will there be in 29 shipments?
Answer:
???
Step-by-step explanation:
???
Explain whether 13t-4t is equivalent to 4t-13t. Support ur answer be evaluating the expressions for t=2
Answer:
Its not, belongs to the term -3t.
Step-by-step explanation:
Which of the values below will make -3x + 15 > 102 true?
A. -27
B.-28
C. -29
D. All of the above
Answer:
C. -29Step-by-step explanation:
[tex]-3x + 15 > 102\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\\\-3x+15-15>102-15\\\\Simplify\\\\-3x>87\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3x\right)\left(-1\right)<87\left(-1\right)\\\\Simplify\\\\3x<-87\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}<\frac{-87}{3}\\\\Simplify\\\\x<-29[/tex]
Send help
2(p+12)=64
Answer:
p=20
Step-by-step explanation:
2(p+12)=64
Step 1: Simplify both sides of the equation.
2(p+12)=64
(2)(p)+(2)(12)=64(Distribute)
2p+24=64
Step 2: Subtract 24 from both sides.
2p+24−24=64−24
2p=40
Step 3: Divide both sides by 2.
2p
2
=
40
2
Step-by-step explanation:
{2×p)(2×12)=64
2p+24=64
2p=64-24
2p=40
p=20
The average number of seeds in a package of cucumber seed is 95. The numb
of seeds in the package can vary by eight. What are the maximum and
minimum number of seeds that could be in a package?
Select the correct equation and solutions that match this situation.
Answer:
103 at most and 87 at least
Step-by-step explanation:
95-8=87 seeds
95+8=103 seeds
Answer with step-by-step explanation:
Max: 25 + 3 = 28
Min: 25 - 3 = 22
Hope this helped!
HELP pleasee and ty to whoever does!!
True or false: The domain and range always have the same number of unique values.
Pls help! I only have 3 min left!
How many 1/3 cups are in 2/3 cup?
Answer: 2 , 1/3 cups
Step-by-step explanation:
1/3 is the base number and 2/3 is another third being added onto the singular 1/3. The awnser would be 2 because 1/3+1/3= 2/3 or 2/3/2= 1/3
How do we write the difference of a number and 4?
. a) Divide Rs 84 in 1:2 ratio.
Answer:
28 and 56
Step-by-step explanation:
let the numbers be x and 2x
x+2x= 84
or,3x=84
therefore, x=24
and
2x=2×28=56
!!!BRAINY AND 10 PTS!!!
Answer:
Top left
Step-by-step explanation:
SOMEONE PLEASE ACTUALLY HELP ME!!!!
Answer:
with what do u need help with?
Answer:
it just asks for help i dont see an attachment or screenshot
Step-by-step explanation:
Simplify
81
100
nswer
pic below................
Answer:
1st step - parenthesis 3-9= -6, so the equation is now 2+ (-6) / -3 *4
2nd step - division- -6/-3 = 2 , so the equation is now 2 + 2 * 4
3rd step - multiplication - 2*4 = 8 so the equation is now 2+8
4th step addition- 2 + 8 = 10
Final answer 10
Step-by-step explanation:
The figure shows two parallel lines cut by a transversal.
124°
(4x – 8°
y
5
4 +
3+
2 +
1
x
1 2 3 4 5 6
lesson
does the graph shown represent a function?
A model of a house has been drawn on a coordinate grid. One corner of the house has been drawn at (6, 3). The drawing will be translated two units down and three units to the right. How should the translation be written?
Answer:
(9, 1)
Step-by-step explanation:
Given the coordinate of one corner of the house has been drawn at (6, 3), if the drawing is translated two units down and three units to the right
two units down = -2 (along the negative y axis)
three units to the right = +3 (towards the positive x-axis)
The coordinate used to translate the model of the house (x, y) is (3, -2)
Adding both coordinates:
= (x, y) + (6, 3)
= (x+6, y+3)
Substitute the values of the translated coordinates
= (3+6, -2+3)
= (9, 1)
The translation should be written as (3+6, -2+3) which is equivalent to (9, 1)
how to hack on lock down Brower
Will Give Brainliest to person who answers with visuals and step by step process to completing the questions
Answer:
The value of O is 13°
with A I have marked area
Which of the following values of x solves 3(x−6)=18?
Answer: X=12
Step-by-step explanation: 3(x-6)=18 becomes 3x-18=18 which is 3x=36 because you add 18 to both sides. Then you simplify 36/3 which is 12
Answer:
x=12
Step-by-step explanation:
3(x-6) = 18 - distrubute ( you are solving for x )
3x - 18 = 18 - add 18 to both sides
3x = 36 - divide
x =12
What is the equation of the line perpendicular to line l and passes through the origin?
Answer:
bruh add a picture
Step-by-step explanation:
please help I don't know how to do this
Answer:
1.Line III is A, Line I is B, Line II is C; 2. 20 represents the Y-intercept, The 2 represents the slope
Jason solved the following equation to find the value for
X.
-8.5x – 3.5x = -78
x = 6.5
Describe how Jason can check his answer.
I
Answer:
we know, that If the x value is a solution to the equation, the x value must satisfy the equation. so It is true.
Step-by-step explanation:
just copy and paste it, its right
Lillian has the following coins.
?
?
If the total value of the coins is 50¢, what are the missing coins?
1 quarter and 1 dime
1 quarter and 1 penny
1 quarter and 1 nickel
2 quarters
Answer:
what coins does she have..? or did the question not state it,
Step-by-step explanation:
HELP HELP HELP PLEASE
Answer:
3/5 lmk if you need the work
Step-by-step explanation:
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. If 2/5 of the caramel apples are covered in sprinkles,
how many caramel apples will have sprinkles?
Which series of transformations would result in a figure that is congruent to the triangle ABC? rotation of 180° clockwise about the origin and then dilation with a scale factor of -1, centered at the origin rotation of 180" clockwise about the origin and then dilation with a scale factor of 2, centered at the origin reflection across the line y = x and then dilation with a scale factor of -3, centered at the origin translation 3 units to right and then dilation with a scale factor of 3, centered at the origin
Answer:
I think it’s C
Step-by-step explanation:
Answer:it is rotation of 180 clockwise about the origin and then dilation with a scale factor of -1 centered at the origin
Step-by-step explanation: