Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given the table
Year Value ($)
1 18,000
2 15,300
3 13,005
Let us check the sequence
18000, 15300, 13005,...
Let us find the common ratio 'r' of all the adjacent terms to check whether the sequence represents the geometric sequence or not, using the formula such as:
[tex]\:r=\frac{a_{n+1}}{a_n}[/tex]
[tex]\frac{15300}{18000}=\frac{17}{20},\:\quad \frac{13005}{15300}=\frac{17}{20}[/tex]
As the ratio of all the adjacent terms is the same, so
[tex]r=\frac{17}{20}[/tex]
Therefore, the given sequence is a geometric sequence
Part b)
Given the sequence
18000, 15300, 13005,...
The nth term of the geometric sequence is
[tex]a_n=a_1\cdot r^{n-1}[/tex]
here
[tex]a_1=18000[/tex]
[tex]r=\frac{17}{20}[/tex]
so
[tex]a_n=18000\left(\frac{17}{20}\right)^{n-1}[/tex]
In order to determine the car worth in the 15th year, substitute n = 15
[tex]a_{15}=18000\left(\frac{17}{20}\right)^{15-1}[/tex]
[tex]a_{15}=18000\frac{17^{14}}{20^{14}}[/tex]
[tex]a_{15}=18000\times \:\:0.10276[/tex]
[tex]a_{15}=1850[/tex] $
Therefore, the worth of a car in the 15th year will be: $1850
Related Questions
These points are linear. Find the Slope.
Answers
Answer:
the slope is 1
Step-by-step explanation:
if your x goes up by one as your y goes up by one, the slope will always be one.
Explanation:
m = (y1 - y)/(x1 - x)
Where:
m is the slope
y1 = -3, y = -2
x1 = -3, y = -2
=> m = (-3 -(-2))/(-3 -(-2))
=> m = (-3 + 2)/(-3 + 2)
=> m = -1/-1 = 1
Therefore the slope is 1
Sally bought 3 packs of strawberries for $7.65. What is the unit price? (price per ONE pack)
A. $2.55
B.$2.05
C. $1.55
D. $2.75
Answers
Answer:
A
Step-by-step explanation:
you just need to divide $7.65 by 3
Answer: The answer is A
Each box cost $2.55
Step-by-step explanation:
7.65 divided by 3 = to 2.55
Which of the following statements about photocopier A1 is correct compared to the other photocopiers?
Answers
Answer:
Option 2
Step-by-step explanation:
Number of breakdowns of the photocopiers in year 2011,
A1 = 15
A2 = 21
B1 = 34
B2 = 32
B3 = 23
Option (1)
A1 had just under a half the number of breakdowns compared to photocopier B3.
Half of B3 = 12
And A1 = 15
Therefore, A1 > B3
So the statement is False.
Option (2)
A1 had just under 50% of the breakdowns compared to photocopier B2
50% of the breakdowns of B2 = 16
A1 = 15
So, A1 < 50% of B2
Statement (2) is True.
Option (3)
A1 had more than 25 extra breakdowns compared to B1.
A1= 15
B1 = 34
A1 < B1
Therefore, statement is False.
Option (4)
A1 had 6% less breakdowns than photocopier A2.
A1 = 15
A2 = 21
A2 - A1 = 21 - 15 = 6
Percentage less breakdowns = [tex]\frac{6}{21}\times 100[/tex] = 28.6%
So this Option is False.
Therefore, Option (2) is the correct option.
USA test prep please help
Answers
Answer: B
Step-by-step explanation: "Product" is the answer of a multiplication problem, "Reduced by" is to make smaller or less in amount, degree, or size.
5 kilometers between two locations, how many centimeters on the map is it?
Answers
Answer:
5 Km = 5000 meters, so 5000m/ 200m (scale factor)= 25 cm
Step-by-step explanation:
...............................
Answers
Answer:
What dose this mean
Step-by-step explanation:
Thx for the free points
5 to the negative 3rd power
Answers
Answer:
1/125
Step-by-step explanation:
[tex](5)^{-3}\\\\=\frac{1}{5^3}\\\\=\frac{1}{125}[/tex]
The perimeter of parallelogram ABCD is 46 inches. What
is DA?
Answers
Answer:
B. 4 inches
Step-by-step explanation:
I got 100% on the quiz on Edg 2020
Answer:
4 inch
Step-by-step explanation:
a box contains 7 black pencils and 28 blue onew what is the ratio between the black and blue pens
Answers
Answer:
1 : 4
Step-by-step explanation:
7 black : 28 blue = 7/28 ---> reduces to 1/4 ---> 1 : 4
The ratio between the black and blue pens [tex]\dfrac{1}{4}[/tex] or 0.25 or 1:4.
Given to us,
Number of black pens box contains = 7,
Number of blue pens box contains = 28,
[tex]\bold{Ratio\ between\ the\ black\ and\ blue\ pens = \dfrac{Number\ of\ black\ pens\ box\ contains}{Number\ of\ blue\ pens\ box\ contain} }[/tex]
Putting in the values we get,
The ratio between the black and blue pens [tex]=\dfrac{7}{28} = \dfrac{1}{4} =0.25[/tex],
Hence, the ratio between the black and blue pens [tex]\dfrac{1}{4}[/tex] or 0.25 or 1:4.
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URGENT PLEASE I NEED HELP AND KINDLY SHOW THE SOLUTION/S AS WELL :))
Answers
Answer:
1. Steve's age is 18 and Anne's age is 8.
2. Max's age is 17 and Bert's age is 11.
3. Sury's age is 19 and Billy's age is 9.
4. The man's age is 30 and his son's age is 10.
Step-by-step explanation:
1. Let us assume that:
S = Steve's age now
A = Anne's age now
Therefore, in four years, we have:
S + 4 = (A + 4)2 - 2
S + 4 = 2A + 8 - 2
S + 4 = 2A + 6 .................. (1)
Three years ago, we have:
S - 3 = (A - 3)3
S - 3 = 3A - 9 ................................ (2)
From equation (2), we have:
S = 3A - 9 + 3
S = 3A – 6 …………. (3)
Substitute S from equation (3) into equation (1) and solve for A, we have:
3A – 6 + 4 = 2A + 6
3A – 2A = 6 + 6 – 4
A = 8
Substitute A = 8 into equation (3), we have:
S = (3 * 8) – 6
S = 24 – 6
S = 18
Therefore, Steve's age is 18 while Anne's age is 8.
2. Let us assume that:
M = Max's age now
B = Bert's age now
Therefore, five years ago, we have:
M - 5 = (B - 5)2
M - 5 = 2B - 10 .......................... (4)
A year from now, we have:
(M + 1) + (B + 1) = 30
M + 1 + B + 1 = 30
M + B + 2 = 30 .......................... (5)
From equation (5), we have:
M = 30 – 2 – B
M = 28 – B …………………… (6)
Substitute M from equation (6) into equation (4) and solve for B, we have:
28 – B – 5 = 2B – 10
28 – 5 + 10 = 2B + B
33 = 3B
B = 33 / 3
B = 11
Substituting B = 11 into equation (6), we have:
M = 28 – 11
M = 17
Therefore, Max's age is 17 while Bert's age is 11.
3. Let us assume that:
S = Sury's age now
B = Billy's age now
Therefore, now, we have:
S = B + 10 ................................ (7)
Next year, we have:
S + 1 = (B + 1)2
S + 1 = 2B + 2 .......................... (8)
Substituting S from equation (7) into equation (8) and solve for B, we have:
B + 10 + 1 = 2B + 2
10 + 1 – 2 = 2B – B
B = 9
Substituting B = 9 into equation (7), we have:
S = 9 + 10
S = 19
Therefore, Sury's age is 19 while Billy's age is 9.
4. Let us assume that:
M = The man's age now
S = His son's age now
Therefore, now, we have:
M = 3S ................................... (9)
Five years ago, we have:
M - 5 = (S - 5)5
M - 5 = 5S - 25 ................ (10)
Substituting M from equation (9) into equation (10) and solve for S, we have:
3S - 5 = 5S – 25
3S – 5S = - 25 + 5
-2S = - 20
S = -20 / -2
S = 10
Substituting S = 10 into equation (9), we have:
M = 3 * 10
M = 30
Therefore, the man's age is 30 and his son's age is 10.
The temperature in a chemical reactor was measured every half hour under the same conditions. The results were 78.1°C, 79.2°C, 78,9°C, 80.2°C, 78.3°C, 78.8°C. 79.4°C.
the mean ?
Answers
Answer:
72.2
Step-by-step explanation:
The mean of the data is 78.98.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
For example,
To calculate the mean,
= (3 + 11 + 4 + 6 + 8 + 9 + 6 = 47). Then you divide the total sum by the number of scores =(47 / 7 = 6.7).
Given:
Data: 78.1°C, 79.2°C, 78,9°C, 80.2°C, 78.3°C, 78.8°C. 79.4°C.
Now, the mean of the data
= Sum of data/ Total number of data
= 78.1+ 79.2+ 78.9+ 80.2+ 78.3+ 78.8+ 79.4 / 7
= 552.9/7
= 78.98
Hence, the mean of the data is 78.98.
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24.39 is 9% of what number..........................
Answers
Answer:
271
9 percent (calculated percentage %) of what number equals 24.39? Answer: 271.
Step-by-step explanation:
Answer:
2.19 I think. Hopefully this helps. You first turn 9% into a decimal, which is 0.09. Then multiply by 24.39, which is 2.19. You can also use the friendly percentage, 10%.
I don't know if this is correct because I'm not too sure, but I hope this helps.
Walt Disney creates Mickey Mouse. convert to passive voice
Answers
Answer:
Mickey mouse was created by Walt Disney.
Step-by-step explanation:
Active voice = Walt Disney creates Mickey Mouse. (subject, verb, object)
passive voice = Mickey mouse was created by Walt Disney. (object, verb, subject).
The intercepts 9x^2+4y^2=36
Answers
Answer:
Step-by-step explanation:
Plz Help!!!
Will Give Brainliest to the First Person that answers!!!
Answers
Answer:
20
Step-by-step explanation:
need answer thanks!!!!!!!
Answers
Step-by-step explanation:
Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.
If t=2 what is the value of 13-2t
Answers
Answer:
9
Step-by-step explanation:
plug in t=2 into equation
so
13-2(2)
=13-4
=9
Please help fast, thanks.
Answers
Answer:
b > 100
Step-by-step explanation:
a linear function contains the following points (0,-1) (3,8)
Answers
to find the slope you can do y2-y1/x2-x1
8-(-1)/3-0= 9/3 or 3
you can then put one of the points into the slope intercept form y=mx+b or 8=3(3)+b
you get 8=9+b. you subtract 9 from both sides to get -1=b. y intercept means that the point is (0,-1)
in the equation 80 multiplied by 10 = 8, the number 80 is the
Answers
Answer:
product of 10 and 8
Step-by-step explanation:
8 is the quotient of 80 and 10 (80/10=8)
A dozen is how much in maths?
Answers
Answer:
well for me it's
Step-by-step explanation:
12
But a german dozen is 13
please give me brainlest
Please I need help!!! The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 0.18. What is the probability that it will rain on at least four of the
five days they are there? Round your answer to the nearest thousandth.
Answers
Answer:
give me a call when you get a chance can you send me the link to the video is too much for me to do you have a car you have a car you have a car you have a car you have a car you have a car you have a car you have a car you have a car ☺️☺️ good morning ☺️☺️☺️ to be there ☺️☺️☺️ you are teaching until I have a few more questions about the link ☺️☺️☺️ get many you had f I am a little bit of time
Answer:
The sum:0.0049 =0.004. so the answer is 0.004
What’s 1/4 +2/3 or 3/4+2/3
Answers
Answer:
1/4+2/3=11/12
3/4+2/3=17/12
Step-by-step explanation:
if anyone knows the answer please help
Answers
Answer: B
Step-by-step explanation:
1/9(3)^x
(3)^(5) = 243
243(1/9) = 27
Hope this helps :)
The equation y = 3x + 7 is written in slope-intercept form.
O True
False
Answers
Answer:
True
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = 3x+7 where the slope is 3 and the y intercept is 7
This is in slope intercept form
Simplify (X^5/8)^2/3
Answers
Answer: Its x5/12
Step-by-step explanation: Hope this helps!!1 <3
Help meeee anyyyonee
Answers
Answer: 8,16
Step-by-step explanation:
1. If 12 kg of sugar cost $ 250, calculate the cost of 20 kg of sugar.
Answers
Answer: 416.7
250/12 = 20.8
20.8 x 20 = 416.7
I need to Determine which two whole numbers each problem lies between. The number is 10/3
Answers
Answer:
I am not sure.
Step-by-step explanation:
If LM = MP, then M must be the midpoint of LP? True or False? Im so confused on this!
Answers
Answer:
true
Step-by-step explanation:
if you have a line LP and midpoint M means M divides LP in to two equal parts ie LM and MP