a. The value of the car when it is 4 years old is approximately $13,645.23.
b. The car has depreciated by about $16,367.54 after 5 years.
To find the value of the car when it is 4 years old, we can substitute t = 4 into the given function:
c(4) = 27,200(1 - 0.21)^4
c(4) = 27,200(0.79)^4
c(4) ≈ 13,645.23
b. To find the total depreciation amount after 5 years, we need to find the difference between the original purchase price ($27,200) and the value of the car after 5 years. Using the function given, we can find the value of the car after 5 years by setting t = 5:
c(5) = 27,200(1 - 0.21)^5
c(5) = 27,200(0.79)^5
c(5) ≈ 10,832.46
Therefore, the total depreciation amount after 5 years is:
27,200 - 10,832.46 ≈ $16,367.54
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Sheila is making accessories for the soccer team. She uses 883.14 inches of fabric on headbands for 38 players and 3 coaches. She also uses 324.52 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
29.455
Step-by-step explanation:
add the inches of fabric together and divide by the total number of players and coaches
HELP FAST ANYONE OLEASE I HAVE LIKE 2 minutes too answer !!
Answer: c
Step-by-step explanation: I JUST ANSWERED BOTH PARTs
Determine if these functions are even, odd, or neither
Answer:
First Graph: the function is symmetrical around y axis -> Even
Second Graph: the function is neither
can you guys help me plz
Answer:
1) x>1
2) x<6
3) x>34
4) x>-4
5) x<2
6) x>-36
7) x<=4
8) x>-2
9) x>=2
10) x>14
The scale of a map is known to be 1: 500 000. Find the actual distance (in km) between a mall and the bus interchange if the represented distance on the map is 3.2 cm.
Step-by-step explanation:
when the scale says 1:500000, then that means 1 unit in the map corresponds to 500000 units in reality.
and so, 3.2 cm on the map are
3.2 × 500000 cm in reality.
3.2 × 500000 = 1,600,000 cm = 16,000 m = 16 km
Write 6,070,000 in expanded form.
Answer:
6,000,000 + 0 + 70,000 + 0 + 0 + 0 + 0
bonus : word form: six million seventy thousand
Step-by-step explanation:
hope this helps! have a g'day
the elevation of the salton sea in california is 66 meters below sea level. which integer best represents this elevaton in meters?
please help
Answer:
-66
Step-by-step explanation:
If we use 0 as the centre of all numbers, and another number is 66 below this baseline, we could say that it is -66 meters above sea level, or 66 meters below sea level.
1. Write an equation for a line that passes through the origin and is perpendicular to
y = 5x – 2.
Answer:
the equation will be 2y=5x
Directions on a box of 5 cups of wallpaper paste are to mix the contents with 4 qt of water. To mix a smaller batch using 1 cup of paste, how much water (in ounces) should be added? note that 1qt=32oz
Step-by-step explanation:
For standard embossed we recommend 8 pints/4.5L for 4-5 rolls. For heavy embossed we recommend 7 pints/4L for 3-4 rolls.
hope that help you
Please help!! I will give a good rating and brainliest if it let's me!!!!
Answer:
3/4 is the slope
Step-by-step explanation:
slope= mx+b
so,
(10,30) is an exact meet
so is (50,60)
so what is the rise/run
answer
30/40
or
3/4
so mx+b=
3/4x+22
full equation is 3/4x+22
derivative for the function of t3+k/t=
Answer:
Step-by-step explanation:
I will ASSUME you want the derivative with respect to "t" of the equation
f(t) = t³ + kt⁻¹
f'(t) = 3t² - kt⁻² which can also be 3t² - k/t²
I need help with a quiz
A rectangular prism has a volume of 960 cubic units. The area of the base is 80 square units. What is the height of the prism?
Answer: the area of the base will be multiplied by 4, since it will be changed from LW to
(2L)(2W) = 4LW
So, apply that to finding the new volume.
If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
A rectangular crystal has a volume of 960 cubic units. The region of the base is 80 square units.
The height of the prism will be given as,
960 = 80 x H
H = 960 / 80
H = 12 units
If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.
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What is the missing number that makes the ratios equivalent?
12:9
_:18
Answer:
24
Step-by-step explanation:
F(t) = 200(0.95)^t
What is the rate of change?
Answer:
f(t)=-5%
Step-by-step explanation:
Answer:
the rate of change is 5%
Step-by-step explanation:
Given : Function
To find: What is the rate of change?
Solution :
The given function is an exponential function as it is in form
in which b is the factor of rate,
If b=1+r then r is the growth rate
If b=1-r then r is the decay rate.
We have given b=0.95
So, 0.95=1-r
r=1-0.95
r=0.05
i.e, It is a decay rate with 5%.
Therefore, The rate of change is 5%.
Some government leaders propose allowing oil companies to drill in currently protected lands that may be rich in oil reserves. Environmental researchers argue that drilling in such lands would be harmful to the surrounding ecosystem. To measure support for drilling in such lands, an oil company representative uses random-digit telephone dialing to contact adults in the region and measure opinion for increased drilling. One question in the survey asks, "Given that an increase in drilling could result in increased tax revenue and additional jobs to the region, would you support a proposal to allow drilling in lands currently protected from drilling?" What type of bias could be most likely affecting the survey results? This is undercoverage bias because some segments of the population will be excluded from the sample. This is response bias because those selected for the survey may not provide truthful opinions about oil drilling. This is voluntary res
The type of bias in this survey is question-wording bias because the question is influencing the response (option D).
Question-wording bias occurs when the words selected in the question influence a specific response. Here is one example:
Do you believe a cruel practice such as bullfighting should be forbidden?In this question, the use of the word cruel qualifies bullfighting as negative, and therefore in most cases, people will answer that bullfighting should be forbidden.
This effect occurs in the question for this survey because the section given that an increase in drilling could result in increased tax revenue and additional jobs to the region indirectly states drilling is positive and therefore influences the response of those surveyed.
Note: This question is incomplete because some of the options are missing; here are the complete options:
What type of bias could be most likely affecting the survey results?
A. This is undercoverage bias because some segments of the population will be excluded from the sample.
B. This is response bias because those selected for the survey may not provide truthful opinions about oil drilling.
C. This is voluntary response bias because those most passionate about drilling will be more likely to register an opinion.
D. This is question-wording bias because the information given at the start of the question may lead those surveyed towards a desired response.
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5. Jared visited his family doctor after suffering for days with a rash that appeared on his ankles and calves as soon as he arrived home from camp. Jared's doctor asked him several questions about his activities during the past week, including the places he'd been and the kind of clothing he wore. Then the doctor announced that Jared had a nasty case of polson Ivy.
What kind of reasoning did Jared's physician use to make a diagnosis? Explain how you you were able to tell what kind of reasoning was used.
Answer:
I would say Inductive reasoning.
Step-by-step explanation:
Inductive reasoning is defined as "A method of reasoning in which a body of observations is synthesized to come up with a general principle." and this is exactly what the doctor did to come up with his diagnosis.
Hope this helps you out a bit.
Answer:
Deductive reasoning
Step-by-step explanation:
Deductive reasoning, he was given some simple information and any person could simply assume he had poison ivy, as it was made clear he had most likely been around it. And deductive reasoning is basically reasoning based off a few questions from which you can draw a conclusion from.
The blood bank at a hospital has 1,200 units of blood, out of which 37% units are of blood group B+. A clinical researcher randomly selects 300 units of blood and finds that 33% of those are of blood group B+. To test his result, he randomly selects 200 units of blood and finds that 40% of those are of blood group B+. Which of the following is the reason there is a difference between the two percentages selected by the researcher?
The reason why the two percentages are different is that the sample does not reflect the characteristics of all the units of blood.
What is sampling?Sampling is a statistical technique in which a sample of a statistical population is selected for the study. The objective of sampling is to ensure that its properties can be extrapolated to the total population.
Sampling is a way of saving resources, and at the same time obtaining results similar to those that would be achieved if a study of the entire population were carried out.
According to the above, the clinical researcher who selected a sample of the available blood units obtains different percentages because he selected randomly and this can modify the quantities of samples according to blood type.
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Write an inequality to represent the graph.
у
(0, 2)
-3
- 2 - 1
7
8
9
10
0
-1
5 6
(4,-1)
-2
-3
-4
-5
-6
Answer:
The answer is i think(4,1)
Step-by-step explanation:
What happens to the median of the data set below if the number 10 is added?
{2, 4, 8, 2, 7, 6, 18, 20, 24}
Answer:
The median goes up 0.5
Step-by-step explanation:
Before the number 10.
Mean x¯¯¯ 10.111111111111
Median x˜ 7
Mode 2
Range 22
Minimum 2
Maximum 24
Count n 9
Sum 91
Quartiles Quartiles:
Q1 --> 3
Q2 --> 7
Q3 --> 19
Interquartile
Range IQR 16
Outliers none
After 10 is added.
Mean x¯¯¯ 10.1
Median x˜ 7.5
Mode 2
Range 22
Minimum 2
Maximum 24
Count n 10
Sum 101
Quartiles Quartiles:
Q1 --> 4
Q2 --> 7.5
Q3 --> 18
Interquartile
Range IQR 14
Outliers none
It goes up .5.
Three more than a positive number is twenty less than it’s square. What is the number ?
Answer:
the +ve no. = 2
Step-by-step explanation:
let the number be x - 3
three more than a positive number = x
acc. to condition
x^{2}x
2
- 20 = x
x^{2} - x - 20 = 0x
2
−x−20=0
x^{2} - 5x + 4x - 20 = 0x
2
−5x+4x−20=0
x(x - 5) +4(x - 5) = 0x(x−5)+4(x−5)=0
(x+4)(x-5) = 0(x+4)(x−5)=0
Case 1
x + 4 = 0x+4=0
x = -4x=−4
the Number cannot be negative because the condition given in question
Case 2
x - 5 = 0x−5=0
x = 5x=5
Hence, the positive number
= x - 3=x−3
= 5 - 3=5−3
= 2=2 hope i help you
-2(x+1)= -2+5
How you solve that?
[tex]-2(x+1) = -2+5\\\\\implies -2x -2 = 3\\\\\implies -2x = 3 +2 =5\\\\\implies x = - \dfrac 52[/tex]
Add the numbers, then add 2 to both sides of the equation. The solution would be x = - 5/2
Math Practices and Problem Solving
13. Algebra In the first 3 months of the year,
an electronics store sold 1,446 cameras.
How many cameras did the store sell in March?
Write and solve an equation.
The store sold 482 cameras in the month of March.
An equation is an expression that shows the relationship between two or more variables and numbers.
Assuming that the same number of camera is sold each month. Let x represent the amount of camera sold in March.
Since the electronics store sold 1,446 cameras in the first 3 months, hence:
3x = 1446
x = 482 cameras
The store sold 482 cameras in the month of March.
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what is the answer? SIMPLE
Answer:
true i think
Step-by-step explanation:
givien the function 6x+6y=5 rearrange the equation so that x is the independant varible
Answer:
so 6x = -6y + 5
divide by 6
x = 5
Step-by-step explanation:
If (k+1), 3k, (4k+2) are three consecutive terms of an AP then k = ?
The three consecutive terms in an AP are (k+1) ,3k and (4k+2)
We know that
If a,b,c are the three consecutive terms in an AP then b = (a+c)/2
now ,
Let a = k+1 , b = 3k and c = 4k+2
⇛3k = (k+1+4k+2)/2
⇛3k = (5k+3)/2
⇛2×3k = 5k+3
⇛6k = 5k+3
⇛ 6k-5k = 3
⇛ k = 3
The value of k = 3
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PLEQSE ANSWER ASAP!!!!!!!!!!!!!!!!
Answer: (a) identity
Step-by-step explanation:
Anything multiplied by 1 will be considered an equation that is identity property.
What is m% of n? Also what is m% of p% of n?
Answer:
mnp/10000
Step-by-step explanation:
Same reasoning as above, but 100*100 is 10000 so there you go
Last year, a gardening store ordered 8,910 potted plants. This year, they ordered 9,801 potted plants. What is the percent of increase in the number of potted plants ordered annually?
Answer:
Step-by-step explanation:
100(9801 - 8910)/8910 = 10%
A. Encode the following decimal fractional value to binary floating point notation using the 8-bit floating-point format.
• -3.5
Answer:
Solution:
o -3.5
As number is negative so sign bit notation is 1.
o First convert 3.5 into binary Binary of 3.5 is 011.1
Mantissa field:
0111
radix in .0111 must be moved 3 bit to the right to obtain
011.1
So exponent is positive 3…
Final 8 bit floating point notation is
1
1
1
1
0
1
1
1
Step-by-step explanation:
What multiplier would you use to decrease a value by 44%
Answer:
I think the answer is4k3+0 or 4