Write a recursive formula for the sequence 9, 6, 3, 0, … Then find the next term.
Answer:
f[1] = 9; f[n] = f[n-1] -3-3Step-by-step explanation:
The first term is 9, so f[1] = 9.
Each term is 3 less than the one before, so f[n] = f[n-1] -3.
Three less than the last term shown is ...
0 -3 = -3
__
The recursive formula is ...
f[1] = 9f[n] = f[n-1] -3The next term is -3.
Explain what Similar means?
Answer:
It means alike but not identical. Showing resemblance.
Step-by-step explanation:
Hope this helped and have a great day!
(Please brainliest)
Amber invest $1,000 for 10 years compounded daily. Jin invests $1,000 for 10 years compounded continuously. If both investments are made at 8% interest rates, determine each of the following. Amber has a total of $ after 10 years. Jin has a total of $ after 10 years. So earns $ more interest.
Compound interest is the interest that is compounded daily, weekly, monthly, annually e.t.c on a loan, investment, or an amount of money kept in a financial institution.
Amber has a total of $2,225.35 after 10 years. Jin has a total of $ 2,225.54 after 10 years. So earns Jin $0.19 more interest.
For Amber:The formula to find the amount compounded daily after 10 years is:
A = P(1 + r/n)nt
Where
P = Principal ( Initial amount) = $1000
R = Interest rate = 8%
n = Number of times interest is compounded = Daily = 365 days
t = Time in years = 10 years
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 1,000.00(1 + 0.08/365)^(365x10)
A = 1,000.00(1 + 0.000219178)^(3650)
A = $2,225.35
The interest for Amber is:
P (principal) = $1,000.00
A( Amount) = $2,225.35
I (interest) = P - A
= $$2,225.35 - $1,000.00
= $1,225.35
For JinThe formula to find the amount compounded continuously after 10 years is:
A = Pe^rt
Where
P = Principal ( Initial amount) = $1000
R = Interest rate = 8%
n = Number of times interest is compounded = Continuously
t = Time in years = 10 years
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = Pe^rt
A = 1,000.00(2.71828)^(0.08)(10)
A = $2,225.54
The interest for Jin is:
P (principal) = $1,000.00
A( Amount) = $2,225.54
I (interest) = P - A
= $$2,225.54 - $1,000.00
= $1,225.54
Comparing the interest for both Amber and Jin, we find the difference to know who earns more.
Jin's interest - Amber's interest
= $1,225.54 - $1,225.35
= $0.19
Jin earns more interest.
Therefore, Amber has a total of $2,225.35 after 10 years. Jin has a total of $ 2,225.54 after 10 years. So earns Jin $0.19 more interest.
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Please tell me what is it
Answer:
-2x+4>-2
-2x>-2-4
-2x>-6
X<3
Answer is J
I NEED YOUR HELP PLEASE
Answer:
Sure
Step-by-step explanation:
What is the question?
What is the triangle congruence method that proves these triangles are congruent?
Answer:
SAS
Step-by-step explanation:
We know the bisector AB is congruent for both triangles, we know that angle ABD and ABC are both 90, and we know sgements BD and BC are congruent since it says the side length
During a football game, a team lost 9 yards on the first play, then gained 3 yards on each of the next 3 plays. Which integer represents the total number of yards at the end of the first four plays? z
Answer:
12
Step-by-step explanation:
So The team lost 9 yards. -9
Then they GAINED 3 yards on EACH of the next 3 plays. 3+3+3=9.
Technically on the 4 one it would be; 12
What expression is equivalent to (24+9)
Answer:
welol its in parentheses and no matter what you always do parentheses first and it shows
(24+9) and the answer to that is 33
bc your simply just adding 24+9
Step-by-step explanation:
or if your looking for something similar do
(11+22)
If 21 hours are worked, what are the total earnings?
*
2 points
HOURS WORKED
3
7
15
24
30
TOTAL EARNINGS
$46.50
$108.50
?
$372.00
$465.00
Nour answer
The
Yes
Answer:
232.50
Step-by-step explanation:
46.50÷3=15.5
15.5 is your money per hour/s
15.5x15=232.50
What is the slope of the line that contains these points?
(5,-3),(6,-1),(7,1),(8,3)
Answer:
2
Step-by-step explanation:
slope of line= [tex]\frac{y2-y1}{x2-x1}[/tex]
You can take any two points from the given points, put them in this formula and answer will be 2.
For example:
Lets take (7,1) and (8,3)
Slope= [tex]\frac{3-1}{8-7}[/tex]
=2/1=2
Hope it will help :)
A college student borrows $2000
for 3
months to pay for a semester of school. If the interest is $41.25
,
find the monthly payment.
Answer:
707.91 dollars.
Step-by-step explanation:
2000 divided by 3 = 666.66
666.66 + 41.25 = 707.91
Answer:
the correct answer is 680.42
Step-by-step explanation:
Anybody know the answers to this frl it’s due in 15 mins
Answer:
4. j(11) = 8
I think it is linear
5. g(-3) = 18
No, it's a parabola since x is to the second power
6. f(-7) = 5
No, I think it's an absolute value function
7. h(0) = 13
I think it is linear, just the slope is 0
Step-by-step explanation:
Answer:
Look below.
Step-by-step explanation:
4.)
j(11) = 19 - 11
j(11) = 8
The equation is linear.
5.)
g(-3) = 2(-3)²
g(-3) = 2(9)
g(-3) = 18
The equation is not linear. It is quadratic.
6.)
f(-7) = |-7 - 1| - 3
f(-7)= |-8| - 3
f(-7) = 8 -3
f(-7) = 5
The equation is not linear. It is an absolute value function.
7.)
h(0) = -13
The equation is linear.
What is the difference (2 x minus 3) minus (x minus 1)?
Answer:
2x - 3 - (x-1)
2x - 3 -x +1
x-2
Answer:
x-2 or B. if you're on edgWhat is the value of this expression when x=-1 and Y = 2?
4x3y2
Answer:
-48
Step-by-step explanation:
4 x -1= -4
3 x 2= 6
-4×6= -24
-24×2= -48
Miguel has 22 cans of regular soda and 99 cans of diet soda. If he decides to sell it by package with the same number of regular soda and diet soda in one pack without leaving one, how many equal packages can he make? How many of regular soda and diet soda in one package?
Write an addition problem that has a sum of -4 3/5
Answer:
-4+(-4.6)
Step-by-step explanation:
PLS HELP WITH THIS one
the sum of x and 7 .............
Answer:
7x
Step-by-step explanation:
Write and solve an equation to find the value of x and the missing angle measures.
Answer:
x = 11 --> angles = 95 degrees
Step-by-step explanation:
They are equal to each other so
7x + 18 = 8x + 7
Put the like terms together
18 - 7 = 8x - 7x
11 = x
so when we substitute this value of x into the equations, we get that both angles are 95 degrees.
Hope this helps!
Solve for z.
I need help please
Answer:
Z is 52 degrees.
Step-by-step explanation:
52 plus 38 is 90
Answer:
52°
Step-by-step explanation:
You can say this a 'cardesian plane', where adjacent quadrants are at right angle to each other. So,
z + 38 = 90°
z = 90° - 38° = 52°
use the graph of the rational function shown to complete the statement
Answer:
0
Step-by-step explanation:
Look at the graph, for x because it is going right continously but it is going towards 0 on the y-axis.
Think of it this way it that line kept going rightward for infinite amounts what would the y value get close to? 0.
In given graph of function, When x → ∞, f(x)=0
Option D is correct.
Graph of function:From the given graph of function,
It is observed that, x- axis is the asymptote of the function.
Since, graph of function never intersect the x- axis.
When x → ∞, f(x)=0
Therefore, option D is correct.
Learn more about the graph of function here:
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Only correct answers get brainliest.
Answer:
x=3+ln(6)ln(4)
Step-by-step explanation:
Find the value of tan 6720 with out calculator
Answer:
[tex]\sqrt3[/tex]
Step-by-step explanation:
I'm assuming you're dealing with degrees.
If that's the case, then I would first find the closest multiple of 360 to that number.
360*20 = 7200, which is a bit too high; 360*19 = 6840, still a bit too high; 360*18 = 6480, perfect.
Now, just subtract 6480 from 6720 and you will get 240.
The answer is now simplified to tan 240, which can be expressed as sin(240)/cos(240).
240 degrees is 30 degrees away from 270, creating a 30-60-90 triangle.
That means cos(240) is -1/2 and sin(240) is -sqrt(3)/2.
Now, just divide:
[tex]-\frac{\sqrt3}{2}/-\frac{1}{2} = -\frac{\sqrt3}{2}\cdot-2 = \sqrt{3}[/tex]
Therefore, tan(6720 degrees) = [tex]\sqrt3[/tex]
3,269-round to the Nearest hundred
Determine if the ratio or rates are equivalent: 24 points scored in 4 games; 48 points scored in 10 games ASAP ANSWER IT I NEED HELP
Answer:
Step-by-step explanation:
Yes: 24 points/4 games = 6 points per game while 48 points/10 games = 24 points in 5 games.
WILL MARK BRAINLIEST PLEASE HELP!!!!!!!!! Find the value of the expression: 2c2+3 for c=–11; 0; 15
Answer:
c = -11
expression value = 245
c = 0
expression value = 3
c = 15
expression value = 453
Step-by-step explanation:
Given expression = [tex]2c^2 + 3[/tex]
for c = -11 , we put c in place of c in given expression
[tex]2(-11)^2 + 3 = 2(121) + 3 = 242 + 3 = 245[/tex]
for c= 0
[tex]2(0)^2 + 3 = 2(0) + 3 = 0 + 3 = 3[/tex]
for c = 15
[tex]2(15)^2 + 3 = 2(225) + 3 = 450 + 3 = 453[/tex]
PLEASE HELP
(if you come in here saying you don’t know and you’re here just for the points, your answer will be reported )
The distribution of the gas mileage of a fleet of cars is shown in the following chart. Which box-and-whisker plot corresponds to this distribution?
Answer:
C is definantly the correct one, none of the others will work :) I wish you luck on your work.
Step-by-step explanation:
<3
The box-and-whisker plot corresponds to this distribution is A.
What is Box plot?An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.
We have, The distribution of the gas mileage of a fleet of cars.
From the data,
Minimum value = 28
lower quartile = 29
Median= 30
Upper quartile = 31
Maximum value = 32
Here the box plot represent the above parameters in box plot A.
Learn more about Box and whisker plot here:
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What is the value of x?
Answer: c
Step-by-step explanation:
Answer:
C. 75°
Step-by-step explanation:
Step 1:
70° + 35° + x = 180° Sum of a Δ
Step 2:
105° + x = 180° Combine Like Terms
Step 3:
x = 180° - 105° Subtract
Answer:
x = 75°
Hope This Helps :)
PLEASE HELP
7. SHOW YOUR WORK: Amy's Group can build 1 garage in 8 hours. Bob's
group can build it in 12 hours. How long would it take them if they worked
together? ROUND to the nearest tenth. *
Answer:
It would take 4.8 hours if they worked together
Step-by-step explanation:
The garage can be built by Amy's group in 8 hours and can be built by Bob's group in 12 hours.
Let's find what portion of the garage each group completes in one hour, add their contributions, and find the time to finish the garage working together.
Amy's group completes the job in 8 hours, it means that in 1 hour, they complete 1/8 of the garage.
Bob's group completes the job in 12 hours, meaning they complete 1/12 of the garage in 1 hour.
Now we add both contributions per hour:
[tex]\displaystyle \frac{1}{8}+\frac{1}{12}[/tex]
The LCM of 12 and 8 is 24, thus:
[tex]\displaystyle \frac{1}{8}+\frac{1}{12}=\frac{3+2}{24}=\frac{5}{24}[/tex]
In one hour, they build 5/24 parts of the garage, so the complete job is finished in 24/5=4.8 hours.
It would take 4.8 hours if they worked together
x + 2y = 4
2x – 3y = 1
I will give brainiest