Given:
[tex]f(1)=3,f(n)=2\times f(n-1)[/tex] ...(i)
For [tex]n\geq 2[/tex].
To find:
The nth term for the given recursive formula.
Solution:
The given recursive formula is of the form of
[tex]f(n)=r\times f(n-1)[/tex] ...(ii)
It is the recursive formula of a GP, where r is common ratio.
On comparing (i) and (ii), we get
[tex]r=2[/tex]
Now,
First term: [tex]a=f(1)=3[/tex]
Common difference: [tex]r=2[/tex]
nth term of a GP is
[tex]f(n)=ar^{n-1}[/tex]
Putting a=3 and r=2, we get
[tex]f(n)=3(2)^{n-1}[/tex]
Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].
Mr. Cox owns a seafood market. His shrimp are on sale 3 pounds for $6.00. If Karen buts 10 pounds how much will she pay?
A. $30.00
B. $60.00
C. $20.00
D. $10.00
Answer:
C. $20.00
Step-by-step explanation:
First, you need to calculate the unit price (per pound). $6.00/3lbs = $2.00/lb. Now, you multiply the unit price by the new amount. $2.00x10lbs = $20.00
Answer:
it is c i think
Step-by-step explanation:
I need help plz I can't seem to solve this
8x+4y=-3y
32+2y=7x-42
The socks you like to wear are on sale when you buy 2 pairs
Is there more to this question?
Calculate simple interest : $125. 4 years, at 10% interest ..(how much is the interest alone?)
Here we have been clearly given with Principal, time period and rate of interest.
Principal (P) = $125Rate (R) = 10%Time (T) = 4 yearsWe have to calculate the simple Interest.
As we know that simple Interest is calculated by the formula :
[tex]\pink{\boxed{\sf{S.I. \: = \: \dfrac{P \times R \times T}{100}}}} \: \bigstar[/tex]Where,
S.I. is simple Interest R is rate of interest T is timePutting the values :
[tex]: \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 10 \times 4}{100}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times \cancel{10} \times 4}{ \cancel{100}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 1 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{ \cancel{125} \times 4}{ \cancel{10}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 4}{ 2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times \cancel{4}}{ \cancel2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 2}{1}} \\ \\ : \: \implies \: \sf{S.I. \: = \: 25 \times 2} \\ \\ : \: \implies \: \red{\bf{S.I. \: = \: 50}} [/tex]
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Channel 9 is wondering if its viewers watch more live TV shows than taped TV shows. They selected all elderly viewers who watched last night's live TV show. Channel 9 conducting this interview would be an example of a _____.
Answer:
Channel 9 conducting this interview would be an example of a convenience sample.
Step-by-step explanation:
Convenience sampling is a kind of non-probability sampling (i.e. all items does not have an equivalent chance of being selected), which does not comprises of random collection of items.
Convenience sampling is where we take in items which are easy to reach.
For instance, gathering information on customer satisfaction by interviewing 6 randomly selected customers from a local store is an illustration of convenience sampling.
In this case Channel 9 selected a very easily available sample. Since, the elderly viewers are usually retired and can be reached easily either at home or on the phone, the sampling method used is convenience sample.
help lol I'm so unsmart
Answer:
0.5
Step-by-step explanation:
5/3 divided by 10/3=5/3*3/10
=1/2=0.5
Use the clues in the graph above to identify the y-intercept.
A. 2
B. (2,0)
C. (0,2)
D. (0,1)
1.
Draw a linelon the coloured sheet. See Fig. 1.1.
1
Fig. 1.1
Answer:
huh?
Step-by-step explanation:
The price of Stock A at 9 A.M. Was $12.53. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $13.28. It begins to decrease at the rate of $0.09 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
1.8571428 hours
Step-by-step explanation:
Given that :
Price of stock A at 9 am = $12.53
Rate of increase = $0.12 per hour
Price of stock B at noon = $13.28
Rate of Decrease = $0.09 per hour
Let number of hours = x
Price of stock A at noon :12.53 + 0.12(3) = 12.89
12.89 + 0.12x = 13.28 - 0.09x
0.12x + 0.09x = 13.28 - 12.89
0.21x = 0.39
x = 0.39 / 0.21
x = 1.8571428
Hence the prices of the stock will be the at about 1.857 hours
4r + 8 + 5 = -15 - 3r solve for r
What 3 consecutive numbers if the sum is 15333
Answer:
[tex]5110, 5111, 5112[/tex]
Step-by-step explanation:
Let [tex]x=[/tex] first consecutive number
[tex]x + (x+1)+(x+2) = 15333[/tex] ([tex]x[/tex] is the first number, [tex]x+1[/tex] would be the second consecutive number of the sequence, and [tex]x+2[/tex] would be the third)
[tex]3x + 3 = 15333[/tex]
[tex]3x = 15330[/tex]
[tex]x = 5110[/tex]
[tex]x+1 = 5110+1[/tex]
[tex]= 5111[/tex]
[tex]x+2 = 5110 + 2[/tex]
[tex]= 5112[/tex]
[tex]\therefore[/tex] the consecutive numbers that sum up to [tex]15333[/tex] are [tex]5110, 5111,[/tex] and [tex]5112[/tex]
Hope this helps :)
A line segment on a graph has endpoints of (-3,1) and (3,1). It is translated 5 units down
and then, reflected across the x-axis.
What are the endpoints after the series of transformations?
Answer:
(-3,4) (3,4)
Step-by-step explanation:
Down means you are dealing with the y value of the pair of points. It also means that you are going into negative territory.
(-3 ,1 -5) and (3, 1-5)
New point
(-3 , - 4) and (3,-4)
Now if you reflect this point across the x axis, you are still changing the y value. You will go from - 4 to + 4
(-3,4) (3,4) <<<<< answer
How can you show that a + 2 = 5 is equivalent to a = 1
Step-by-step explanation:
You cant because a=3
Answer:
a+2=5 is not equivalent to a=1
in this situation a must equal 3 for the equation to be true.
Step-by-step explanation:
Which division problem does the model show? 3 fraction bars. The bars are labeled 1 and each has 3 boxes underneath labeled one-third. 3 divided by one-third = 9 3 divided by two-thirds = 9 9 divided by one-third = 3 9 divided by two-thirds = 3
Complete Question
Which division problem does the model show? 3 fraction bars. The bars are labeled 1 and each has 3 boxes underneath labeled one-third.
a) 3 divided by one-third = 9
b)3 divided by two-thirds = 9
c) 9 divided by one-third = 3
d) 9 divided by two-thirds = 3
Answer:
a) 3 divided by one-third = 9
Step-by-step explanation:
We are told in the question that:
3 fraction bars. The bars are labeled 1 and each has 3 boxes underneath labeled one-third.
The division problem does the model shows from the description above is calculated as:
3 fraction bars ÷ 1/3
= 3 ÷ 1/3
= 3 × 3
= 9
Hence:
Option a) 3 divided by one-third = 9 is the correct option.
Answer:
3rd one is correct
Step-by-step explanation:
Emma is 10 years old. She asked her father how old he was. Her father answered: "When you will be my age, I will be 70." How old is Emma's father?
Answer:
Emmas father would be 40 years old
Step-by-step explanation:
if the father is 40 years old right now emma will be his age in 30 years.
in 30 years emma will be as old as he was when she was ten (10+30=40)
after the 30 years emmas father who was once 40 years when she asked how old he was would be 70 years old (30+40=70)
He is 40 years old.
Equation: (f+e)/2 = father's age. Here f=70 and e=10.
So, (70+10)/2 = 80/2 = 40.
Solution can be wrong. But answer is right. Answer is definitely 40 years old
There are one hundred forty-two students in a high
school band. These students represent two ninth
of the total students in the high school. How many
students attend the school?
Answer:
639 students attend the highschool
Step-by-step explanation:
Find one-ninth of the students
Since 142 students is two-ninths of students, we would divide
1) 142/2=71
71 students is only one ninth of the students, we need to find 9/9 of students
2) 71*9 = 639
639 students attend school
There is a total of 639 students in the school.
What is a fraction?If we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
Let's say the number of students in the school is x
Then,
Since 2/9 of it are in the school band
So,
(2/9) x = 142
x = 639
Hence "There is a total of 639 students in the school".
For more about fractions,
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Suppose 56 gallons of water came out of a pipe In 7 minutes.
What was the rate in gallons per minute?
Answer:
8
Step-by-step explanation:
7 x 8 = 56
56 divided by 7 is 8
11. A loading crew estimates that it can load 8 boxes in 20 minutes. At this rate,
how many boxes could it load in 1 hour?
Answer:
24
Step-by-step explanation:
If 20 × 3 = 60 which is an hour then you do 8 × 3 = 24.
So 24 boxes
Can anyone help me with this Midterm Advanced Algebra problem. (DONT ANSWER IF YOUR NOT SURE)
Answer:
2
Step-by-step explanation:
for the equation 2x² -11x+9=0 solve for x using AC method , completing the square, and the quadratic formula
help please
Answer:
x=1, 4.5
Step-by-step explanation:
-(-11)plus/minus square root of (-11)^2-4(2)(9) divided by 2 times 2
Help????? Pls?????????
Answer:
20 men in the dance recital.
Step-by-step explanation:
tt
A triangle has a base length of 12 inches and a height of 14 inches. From that
information, answer the following:
What is the area?
Can somebody who knows how to do this plz help answer all the questions correct..thanks!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :D
Answer:
1) 50/100 - 50%
2) 70/100 - 70%
3) 60/100 - 60%
4) 68/100 - 68%
5) 38/100 - 38%
6) 0.05/100 - 5%
just get 10 points get some points have fun use them wizely
Answer:
thank you
Step-by-step explanation:
pls help i need to get a good grade on this final so I can get my pc Best awnser gets brainliest
Answer:
d
Step-by-step explanation:
hope this helps
of her book on Tuesday, and of her book on Wednesday,
3
if Joyce reads - of her book on Monday,
6
what part of her book does she read?
point)
9
10
о
VINIATE
10
4
Answer: 9/10 of the book.
Step-by-step explanation:
1. Convert all of the fractions to have a common denominator. 6, 5, and 3 are all multiples of 30, so we can convert the fractions to 30ths.
1/6 = 5/30
2/5 = 12/30
1/3 = 10/30
2. Add the fractions together to find the whole amount of the book Joyce has read.
5/30 + 12/30 + 10/30 = 27/30
3. Simplify
27/30 -> 9/10
Step-by-step explanation:
1/6 + 2/5 +1/3=
nominator × with the other fraction denominator+ second fraction nominator × with first denominator / denominator ×denominator =
1/6+2/5= 1×5+2×6/6×5=5+12/30=17/30
17/30+1/3=,17×3+1×30/30×3=51+30/90=,81/90
now let's try to simplify it.
81/90 by 9=9/10
what do yall want for christmas
Answer:
A week of laying in bed eating hot cheetos and watch anime
Step-by-step explanation:
values for 24/25 ÷ 4/5.
Answer:
1.2
Step-by-step explanation:
24/25 ÷ 4/5
Change the numbers from division to decimals. PS: this is the same thing just written much easier.
0.96/0.8
1.2
Write the equation of the line parallel to the line 3x + 5y = 7 and passes through the point (-1, 3) in standard form.