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
The gates to the zoo open at 8 a.m. and 60 people enter. The number of visitors to the zoo triples every hour until 1 p.m.
How many visitors are at the zoo at 1 p.m.? Write the answer in exponential notation.
Answers
Answer:240 visitors are at the zoo
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
We can solve this problem by creating a chart from 9am to 12pm. Each hour we must "triple," meaning "multiply by 3."
9am-10am is 6 visitors
10am-11am is 6*3=18 visitors
11am-12pm is 18*3=54 visitors
r6 = 6 + 40 solve for r
Answers
I don’t know the answer
Answers
I believe the answer would be yes. Since your dealing with Ratios it would be simple to understand that they are proportional. I'll explain a little better.
This means that if you double this ratio, it will still be equivalent to 1:3
1:3
This is also proportional because this number will always be equivalent to itself.
7:21
-----------------------------------------------------------------------------------------------------------------Hope this helps
-Miri
Jenny had 56 candles. She sold 2/7 of them and then split it evenly among her and her sister. How many candles did each sister get?
Answers
How?
(2/7)(56) = 16
16/2 = 8
What is an equation in point-slope form the line that passes through the point (-3,5) and (2,-3)?
Answer
Y-5=-8/5 (x+3)
Answers
Answer:
Y-5=-8/5 (x+3)
Step-by-step explanation:
Answer:
Y-5=-8/5 (x+3) good luck
A 5 lb. package of chicken costs $6.00. What is the cost per pound?
Answers
Answer:
$1.2
Step-by-step explanation:
Cost per pound = 6/5 = $1.2
Answer:
1.20 a pound
Step-by-step explanation:
Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
A, 2 5/8 cups
Step-by-step explanation:
Since six dozen brownies is three times as much as two dozen, we can multiply 7/8 cups by 3. 3 x 7/8 = 21/8 If we simplify this fraction, it is 2 5/8. Therefore the answer is A, 2 5/8 cups.
5
Mo spends of his pocket money on a present for his sister.
He gives of his pocket money to charity.
What fraction of his pocket money does he have left?
You may use the fraction strip to help you.
Answers
love shot
Step-by-step explanation:
1x24 minus 1 and that is good
hope it helps
Function or Non-Function
Answers
Answer:
2 is not a function.
3 is a function
Step-by-step explanation:
one x value should each have a line leading off it. there are 2 y values for one x values in question 2 so its not a function
Write a function formula for g using the function f.
g(x)=
Write a function formula for f using the function g.
f(x)=
Answers
9514 1404 393
Answer:
g(x) = f(x -2) -1
Step-by-step explanation:
The transformation g(x) = f(x -h) +k causes the graph of function f(x) to be translated h units to the right and k units up. Here, g is translated 2 units right and 1 unit down, so (h, k) = (2, -1). The translated function is ...
g(x) = f(x -2) -1
HELP DUE IN 2 MIN
The ratio of boys to girls in a classroom is 6 to 5. If
there are a total of 18 boys in the classroom, find
the number of girls in the classroom.
Answers
Answer:
15
Step-by-step explanation:
18/3=6
15/3=5
Answer:
15
Step-by-step explanation:
If the ratio is 6:5 and we know the boys are 18, we have 18:?
18/6=3, so we have to do 5*3. 5*3=15.
The ratio is 18:15, the number of girls in the classroom is 15
plz help! will give brainliest!!!
Answers
Answer:
C
Step-by-step explanation:
I took a guess
What is a unit rate? *
items of different measures being compared
a ratio in which the second value is one
a comparison of two quantities by division
0 This is a required question
Answers
Answer:
a ratio in which the second value is one
Step-by-step explanation:
Hope this helps!
Answer: How much of something per 1 unit of something else. Examples: • 100 cars pass by in 2 hours. The unit rate is 50 cars per hour. • You can paint 3 boards in half an hour. The unit rate is 6 boards per hour. • 200 sausages were eaten by 50 people. The unit rate is 4 sausages per person. • They need 5 m of thread to make 2 cm of cloth.
Step-by-step explanation: Just wanted to give a example if that doesn't help go to google and watch a video or do some reading about it!
What is the value of each expression in simplest form?
2 1/2 divided by 4 3/4
Answers
Answer:
Its something
Step-by-step explanation:
2 1/2 is uh pretty cool
Answer:
47/32
Step-by-step explanation:
hange each decimal or mixed decimal to a percent.
a. 0.73
b. 0.023
c. 0.176
d. 2.415
Answers
Answer:
a. 73 percent
b. 2.3 percent
c. 17.6 percent
d. 241.5 percent
Step-by-step explanation:
Jake had 42 frogs and gave the same number of frogs to each of his & cousins. If each cousin receives 14 frogs, did Jake have 2, 3, or 6 cousins?
pleas answer 100% honestly
Answers
Answer: 3 cousins
Step-by-step explanation:
Each of his cousins gets the same number of frogs, which is 14. To find the number of cousins Jake has, you need to divide 42 by 14, which is 3. Thus, Jake has 3 cousins.
what's the area of the quadillateral
Answers
Answer:
The area of the quadillateral is 360 degree.
Step-by-step explanation:
Hope this helped!
Have an amazing day!
Write a polynomial expression that represents the total area of a square with a side length of (3x - 4).
Answers
Where a=length of the side
So (3x-4)^2 that is the same as (3x-4)(3x-4)
Then just multiply each term by each term
The answer is 9x^2 - 24x + 16
-27+ 20w=73? plsssssssssssssssssssssssssssss
Answers
Answer:
w = 5
Step-by-step explanation:
-27 + 20w = 73
add 27 to both sides
-27 + 27 + 20w = 73 + 27
20w = 100
divide both sides by 20
20w/20 = 100/20
w = 5
Harry's amount of money is 75% of Kayla's amount of money
Answers
Answer:
Add vaslues
Step-by-step explanation:
How much money does kayla have?
liz has 9 buttons. kristen has b more buttons than liz choose the expression that shows how many buttons kristen has. A. b - 9. B. 9 + b. C. 9. D. 9 - b
Answers
Answer:
B. 9+b
Step-by-step explanation:
if b represents the number of buttons more than 9, then you just have to add 9 to that and you get your equation.
This explanation made better sense in my head...
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:
Help?.?.??? I’ll give brainliest to the first person who responses
Answers
Answer:
1. y=3x
2. y=1x
3. y=7x
4. y=1x+7
5. y=3x-3
6. y=12x+2
Step-by-step explanation:
Hope this helps!
help need done quick pls.
Answers
I WILL GIVE BRAINLIEST TO RIGHT ANSWER: The length of a bridge on a map is 1.5 cm. What is the actual length of the bridge in meters if the map is drawn at a scale of 1 : 40,000.
Answers
Answer: 600 m
Step-by-step explanation:
Imagine we have measured a distance as 1.5 cm on this map, and we want to find out how far this is in real life.
To work out the distance in real life, we need to multiply this length by 40,000.
This gives 1.5 cm × 40,000 = 60,000 cm which is 600 m or 0.6 km.
Sol b : Alternatively, we could have just remembered that each 1 cm on the map is 0.4 km in real life.
Hence, 1.5 cm on the map must be 1.5 × 0.4 km = 0.6 km in real life.
20)
Rachael has two jobs. She earns $9 per hour babysitting, and she earns $12 per hour working at the coffeehouse.
Rachael wants to earn a minimum of $240. Which inequality represents this situation, if x represents hours babysitting
and y represents hours at the coffeehouse?
A)
12x + 9y <240
B)
9x + 12y > 240
0
12x + 9y s 240
D)
9x + 12y 2 240
Answers
Answer:
babysitting = $9
working at coffeehouse = $12
x = hours for babysitting
y = hours at coffeehouse
minimum = ≥
9x + 12y ≥ 240
Step-by-step explanation:
just a short note on which symbol you should use when you see these words in inequality questions:
i) use ≥
-more than or equal to
-not less than
-at least
-minimum
ii) use >
-more than
-greater than
iii) use ≤
-less than or equal to
-not more than
-at most
-maximum
iv) use <
-less than
The inequality 9x + 12y ≥ 240 represents that Rachael wants to earn a minimum of $240 if she earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Rachael earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.
x is the number of hours babysitting.
y is the number of hours at the coffee-house.
9x + 12y ≥ 240
Because, Rachael wants to earn a minimum of $240.
Thus, the inequality 9x + 12y ≥ 240 represents that Rachael wants to earn a minimum of $240 if she earns $9 per hour babysitting, and she earns $12 per hour working at the coffee-house.
Learn more about the inequality here:
brainly.com/question/19491153
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HELP!!! ILL MARK BRAINLYEST!
Answers
Answer:
its 1 and 3
Step-by-step explanation:
you can tell cant you
What is the domain and range of the following ordered pairs: {(-6, -7), (-1, 1), (0,
9), (3,-2)}? *
Wh
Domain: {-6, -1,0, 3} Range: (-6, -1, 0, 3}
Domain: {-7,1,9, -2} Range: {-7,1,9,-2}
Domain: {-7,1, 9, -2} Range: (-6,-1, 0,3}
Domain: {-6,-1, 0,3} Range: {-7, 1, 9, -2}
Answers
Answer:
The answer is the last option (d.)
Step-by-step explanation:
The domain is the X values and the range is the Y values.
Answer:
Answer: Domain {-6,-1,0,3} Range: {-7,1,9,-2}
Step-by-step explanation:
I took the test and it was correct.
Can you please answer number 23. And number 24.
Please please show me how to do it and tell me the answers
Answers
Answer:24 is 34miles per hour
Step-by-step explanation:
Answer:
1st
A pound is defined as exactly 0.45359237 kilograms.
so 50 x 0.45359237 = 22.679619 Kilograms
2. 55km to miles = 34.16
for an approximate result, divide the length value by 1.609
Step-by-step explanation:
when a load of 5 pounds is placed on a spring, its length is 6 inches, and when a load of 9 pounds is placed on the spring, its length is 8 inches. what is the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds? give units on your answer
Answers
Four inches every four and a half pounds
The average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.
What is average?It is a measure of how much the function changes per unit, on average, over the given interval.
We have,
5 pounds loaded on a spring:
The length of the spring is 6 inches.
9 pounds loaded on a spring:
The length of the spring is 8 inches.
The average rate of change in the length of the spring as the load varies:
= (8 - 6) / (9 - 5)
= 2 / 4
= 1 / 2
= 0.5 inches per pound
Thus the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.
Learn more about average rate of change here:
https://brainly.com/question/21635353
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