Answer:
Value of the car after depreciation = $800.
Step-by-step explanation:
Formula to get the final value of the car after depreciation of the car price,
Final value = [tex]\text{Initial value}(1-\frac{r}{100})^{\frac{t}{n} }[/tex]
Here, t = Number of years after the purchase
n = Number of years for the depreciation of price by half
By substituting values in the formula,
Final value = [tex]40000(1-\frac{50}{100})^{\frac{17}{3}}[/tex]
= [tex]40000(0.5)^{\frac{17}{3}}[/tex]
= $787.451
≈ $800 [Nearest hundred dollars]
Therefore, after 17 years value of the new car will be $800.
pls answer i need help
Answer:
the first one is 2/4 and 3/6
the second one is 4/6 and 6/8 and the equation is
3/4 times 4/6 = .5
Step-by-step explanation:
PLEASE HELP I DO NOT UNDERSTAND AT ALL AND SHOW YOUR WORK !!
write the equation of the line given the y- and x- intercepts
y intercept (-6,0), x-intercept (0,-8)
y intercept (0,-6), x-intercept (-2,0)
y intercept (0,8), x-intercept (1.6,0)
y intercept (0,7), x-intercept (-1.4,0)
Answer:
y intercept (-6,0), x-intercept (0,-8) : [tex]y = \frac{-4}{3}x -8[/tex]
y intercept (0,-6), x-intercept (-2,0): [tex]y = -3x -6[/tex]
y intercept (0,8), x-intercept (1.6,0): [tex]y = -5x + 8[/tex]
y intercept (0,7), x-intercept (-1.4,0): [tex]y = 5x + 7[/tex]
Step-by-step explanation:
y = mx + b
*note: b is the y intercept
1. y intercept (-6,0), x-intercept (0,-8)
[tex]m = \frac{-8 - 0}{0 - (-6)}= \frac{-8}{6} = \frac{-4}{3}\\y = \frac{-4}{3}x + b\\y = \frac{-4}{3}x -8[/tex]
2.y intercept (0,-6), x-intercept (-2,0)
[tex]m = \frac{0 - (-6)}{-2 - 0} = \frac{6}{-2} = -3\\y = -3x + b \\y = -3x -6[/tex]
3. y intercept (0,8), x-intercept (1.6,0)
[tex]m = \frac{0 - 8}{1.6 - 0}= \frac{-8}{1.6} = -5\\y = -5x + b\\y = -5x + 8[/tex]
4. y intercept (0,7), x-intercept (-1.4,0)
[tex]m = \frac{0 - 7}{-1.4 - 0} = \frac{-7}{-1.4}= 5 \\y = 5x + b\\y = 5x + 7[/tex]
How much higher is the average cost at a clinic
than the average cost at a shelter?
Answer: the answer is 50
Step-by-step explanation: I got it right in the quiz
Answer:
50
Step-by-step explanation:
I NEED MEGA HELP WITH THIS QUESTION
Answer:
C. [tex]y = - \frac{1}{4} x - 2[/tex]
Step-by-step explanation:
To find slope using coordinates, use the formula above.
[tex](4, - 3) \: (0, - 2)→ \frac{ - 2 - ( - 3)}{0 - 4}→ \frac{ - 2 + 3}{ - 4} → - \frac{1}{4} [/tex]
Now, using the [tex]y = mx + b[/tex] formula, plug in [tex] - \frac{1}{4} [/tex] as [tex]m[/tex] (slope) and either coordinate as the [tex]x[/tex] and [tex]y[/tex] values. It looks like this:
[tex] - 3 = - \frac{1}{4}(4) + b[/tex]
To solve for [tex]b[/tex], continue to use PEMDAS.
[tex] - 3 = - \frac{1}{4}(4) + b→ - 3 = - 1 + b→ - 2 = b[/tex]
Now use [tex]m[/tex] and [tex]b[/tex] to solve for your equation:
[tex]y = - \frac{1}{4} x - 2[/tex]
The answer is C.
What is the quotient?
- -2
Answer: You need 2 terms so there isn't one
The term "quotient" is most commonly used to refer to the ratio of two quantities and , where. . Less commonly, the term quotient is also used to mean the integer part of such a ratio.
Step-by-step explanation:
The accompanying diagram shows two triangles. Which proportion could be used to solve for x ?
80,40,20,_,5
What’s the pattern?
the distance between -4,1 and -2,2
Answer:
✓32
or
4✓2
or
5.66
Step-by-step explanation:
That's the answer. Hope it helps
EXPERTS HELP!!SUPER HARD QUESTION
Answer:
1. the first one - (100-2)*24 = 2400 - 48 = 2352
2. third one - (20+1)*15=300+15
3. fourth one - (0.5+0.01)*40 = 20+0.4 = 20.4
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
Will someone please help me with this
Answer:
B. f(-5) = -70
Step-by-step explanation:
f(-5)= 10(-5) - 20
f(-5) = -50 - 20
f(-5) = -70
Answer:
f(-5) = -70
Step-by-step explanation:
f(-5) = 10(-5)-20
2,000 - 61k = 48
In 1962, the population of a bird species was 2,000.
The population k years after 1962 was 48, and k
satisfies the equation above. Which of the following
is the best interpretation of the number 61 in this
context?
Answer:
61 is the rate at which the population changes every year
Step-by-step explanation:
Given
[tex]2000 - 61k = 48[/tex]
Required
Interpret 61
A linear equation has the form:
[tex]y = mk + b[/tex]
or
[tex]b + mk = y[/tex]
Where m is the rate
By comparison:
[tex]mk = -61k[/tex]
[tex]m = -61[/tex]
Hence, 61 represents the rate at which the population changes yearly.
The negative sign implies that the populatiin reduces
Please help I'll give brainliest
Answer:
m∠1 + m∠3
Step-by-step explanation:
Please please mark me brainliest and have a great day!
y=-x + 4 slope = y-intercept =
Answer: y intercept is 4
Step-by-step explanation:
the number + or - after x is the y intercept
An item is regularly priced at $60. Brian bought it on sale for 80% off the regular price. How much did Brian pay?
Answer:
$12
Step-by-step explanation:
Since it was 80% off, he paid for 20%
20% = 0.2
(60)(0.2) = 12
12
In a fruit cocktail for every 100ml Orange juice you need 12ml Apple juice and 8ml of coconut milk what is the ratio of Apple juice to coconut milk to orange juice expressed in its simplest form
PLS HELP ASAP rob is saving money for a new mp3 player. For every $15 he saves $8. On Sunday he earns $45 how much does he save
Answer:
the answer for this problem would be 24 dollars.
Kelly met Jesse and Liza at The Maxx for breakfast. The
graph shows Kelly's speed during her 12 minute drive.
Answer:
wheres the graph? thats what we need
Step-by-step explanation:
Im struggling in math rn and i need help with this problem 3 1/4 = 1/2 + w
Answer:
w= 2 3/4
Step-by-step explanation:
First, we need to find what can equal w. So, we can subtract 1/2 form both sides, so one sides has just w and one side has just a number. 3 1/4-1/2= 2 3/4. So w= 2 3/4
Answer:
2 3/4
Step-by-step explanation:
3 1/4 = 1/2 + w
Transfer 1/2 to other side
3 1/4 - 1/2 = w
Solve
w = 2 3/4
Hope this helps!! Please give Brainliest!!
The diameter of a circle is? So what does diameter mean?
Answer:
Its 2 x radius
Step-by-step explanation:
Answer:
Twice the radius length.
Step-by-step explanation:
Generally, the diameter is the length of a line that extends from one point on a circle to another point on a circle as long as that line passes through the center of the circle. Essentially, a diameter, in short, is twice the length of the radius of a circle.
how do i find the ratio for the first two blanks then what are the last two?
Answer:
3/8 to 2
since it is 3/8 cups of water for every 2 cups of flour.
value of the ratio is 0.375/2
Please help mehh;hhhhhhhhhhh:hhhh
Answer:
The first option (the uppermost) is correct.
Step-by-step explanation:
When you multiply 1/2 by 3/4, you obtain the result of (1x3) / (2x4).
Simplifying, this gives us the result: 3/8, which is represented by the first choice.
Let me know if this helps!
To rent a moving truck for the day, it costs $33 plus $2 for each mile driven. Write an expression that represents the cost.
Step-by-step explanation:
y = cost, m = miles driven
y = 2m +33
y = x² +1,x>0
find the inverse
Answer:
The inverse of x² +1 is:
[tex]\sqrt{x-1},\:-\sqrt{x-1}[/tex]
Step-by-step explanation:
Given
y = x² + 1, x>0
We know that A function g is the inverse of a function f if for y = f(x), x = g(y)
y = x² +1
Replace x with y
x = y² + 1
solve for y
y² = x - 1
Taking square root
[tex]y=\:\sqrt{x-1},-\sqrt{x-1}[/tex]
Thus, the inverse of x² +1 is:
[tex]\sqrt{x-1},\:-\sqrt{x-1}[/tex]
What is the scale factor of the dilation shown?
(Help please) geometry
What is the value of x?
Pls hurry!!!
Answer:
C. 120
Step-by-step explanation:
Hope it helps!
can someone help me with finding the slope of the graph- ONLY GRAPH
Answer:
m = - 2
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(6.3x10^3)x(7x10^-5) in standard form
please answer asap
Answer:
0.441
Step-by-step explanation:
[tex](6.3 \times 10^3) \times (7 \times 10^{-5} ) \\ \\ = 6.3 \times 7 \times 10^3\times 10^{-5} \\ \\ = 44.1 \times {10}^{3 - 5} \\ \\ = 44.1 \times {10}^{ - 2} \\ \\ = 0.441 [/tex]
2. The table below shows the height of Grace's
kite while she was flying it yesterday. Use this
information to determine which statements
below are correct. Select all that apply.
Halight
Ott
Omin
2 minutes
3 minute
15
13
A. Grace's kite rose consistently during the first 4
minutes of its flight
B. Grace's kite rose a total of 8 feet during the first 2
minutes of its flight.
C. Grace's kite fell 4 feet in between minute 4 and
minute 5.
D. If Grace added a row to her chart at 6 minutes to
show a drop of 6 feet, the kite's height would be 3
feet
Answer:
9929x9829-kk>/1.79<efk+11x3.145936982
Step-by-step explanation:
its not refghj
The figures below show the population of 20 cities randomly selected from the 200 largest cities in each two countries based on these samples how much larger is the median population of China's 200 largest cities than the median of India's largest ccities?
Answer:
500,000
Step-by-step explanation:200/6682)&;&;!,)8
The sales tax for an item was $9.80 and it cost $490 before tax. Find the sales tax rate. Write your answer as a percentage.
Answer:
2%
Step-by-step explanation:
To solve this problem, a proportion would be best! We can set up the first fraction with the two numbers given to us. We'll use t to represent tax, and w to represent the whole. The first fraction will look something like this:
[tex]\frac{9.80t}{490w}[/tex]
Next, we'll set up our second fraction using knowledge of percents. Every percent is a part of 100%, so we can use 100 as our percent to represent the whole. Since we are solving for the percent that is out of 100, we'll use x to represent it. The final proportion should look like this:
[tex]\frac{9.80t}{490w} = \frac{x}{100w}[/tex]
To solve, we just need to cross-multiply and divide! First, multiply 9.80 by 100 to get 980. Finally, divide 980 by 490 to get a final answer of 2%. The sales tax rate is 2%. The final calculations are as follows:
9.80 X 100 = 980
980 / 490 = 2 or 2%
