Given:
The geometric sequence is:
[tex]6,-54,486,...[/tex]
To find:
The equation for the nth term of the given geometric sequence.
Solution:
We have the given geometric sequence,
[tex]6,-54,486,...[/tex]
Here, the first term is 6 and the common ratio is:
[tex]r=\dfrac{-54}{6}[/tex]
[tex]r=-9[/tex]
The nth term of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is first term and r is the common ratio.
Putting [tex]a=6,r=-9[/tex] in the above formula, we get
[tex]a_n=6(-9)^{n-1}[/tex]
Therefore, the equation for the nth term of the given geometric sequence is [tex]a_n=6(-9)^{n-1}[/tex].
How do you fnd the total amount of an interest paid? The question is "Find the total amount of interest paid one a principal of $2600 at a rate of 12% calculated per annum over 3 years." and I'm not sure how to figure it out
Answer:
936
Step-by-step explanation:
Because 12%of 2600= 312
or 0.12×2600=312 for the first year
so multiply by 3 to get interest for 3 years
312 × 3 =936
Solve the inequality.
Please help.
Answer:
2 < x <_ 3.5
Step-by-step explanation:
First, find the value of x by writing it as an equation. Then, use 0 as x to determine the correct inequality.
Look at the two equations:
-3x + 6 = 21
-3x + 6 < 21
Which statement best describes the process used to solve the equations?
In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality.
In both cases, divide by –3 on both sides, but reverse the inequality sign when doing that for the inequality.
The process is exactly the same for solving the equation and solving the inequality.
The process for solving the equation is entirely different from solving the inequality.
A scuba diver starts her dive at an elevation of 0 feet. If her elevation changes by 40 1/2
feet per minute, what will be her elevation after 3 minutes?
Answer:
121.5
Step-by-step explanation:
40.5*3=121.5
Shawn is typing a paper for class. He can type 1 5/11 pages in 1/ 3 of an hour. How many pages can Shawn type in one hour?
A 1 3/11
B 1 8/11
C 4 4/11
D 5 9/11
Answer:
the amount of pages typed after 1/3 of an hour is given. Multiply this number by 3 to get the full hour of pages types.
1 5/12 * 3 = 3(1) + 3(5/12)
= 3 5/4
= 4 1/4 pages
In rectangle ABCD, AD=200, and diagonal AC=90, what is the perimeter of ABCD
Answer:Length = 200
Breadth=90
perimeter of rectangle
[tex] = 2(l + b) \\ = 2(200 \times 90) \\ = 2 \times 18000 \\ = 63000[/tex]
Hope it helped
PLS mark BRAINLIEST
If angle A and angle B are supplementary, and their measures are (3x + 50)o and (7x + 10)o
respectively, find x, the measure of angle A and the measures of angle B.
Answer:
20 x
Step-by-step explanation:
What is this formula?PLEASE ANSWER THIS QUESTION RIGHT.
Answer:
Quadratic formula
Step-by-step explanation:
You can use the quadratic formula to find solutions for quadratic equations.
STOP AND HELP PLZzzzzzzz
Answer:
k = 2
Step-by-step explanation:
9 = k(6) - 3
12 = 6k
k = 2
Answer:
k = 2
Step-by-step explanation:
We know that in the coordinates (6, 9) 6 is X and 9 is Y. So, we can just plug that into the equation in the problem to get 9 = 6k - 3. Then, after solving, we get the answer as k = 2.
Ann wants to have dinner ready at 6:00p.m. A chicken casserole takes 35 minutes to bake and 15 minutes to prepare. After the casserole is done, Ann has rolls to warm up in the oven for five minutes. What time should she start preparing the casserole? I will Brainliest
a.4:55 p.m. b.5:00 p.m. c.5:05 p.m. d.5:10 p.m.
Answer:
5: 05
Step-by-step explanation:
35 + 15 + 5 = 55
60 - 55 = 05
5:05
Answer: 5:05 pm. (C)
Step-by-step explanation:
For this, you have to add up the times. 35+15+5. That is 55 minutes. If it would take 55 minutes, you will want to subtract 55minutes from the time you want it to be done. This will give us 5:05pm.
what are image of 5/2 slope
Answer:
2/5
Step-by-step explanation:
you switch the numbers from the equation
I don't have any clueeeee????!!!!!!
Answer:
x = 2
Step-by-step explanation:
Given
[tex]\frac{1}{6}[/tex] = [tex]\frac{x}{12}[/tex] ( cross- multiply )
6x = 12 ( divide both sides by 2 )
x = 2
please just help please
Answer:
1. Yes the parentheses are necessary. To find a fourth of her regular hours you must find the total amount she works during her regular hours.
2. 6
Step-by-step explanation:
(For the second question)
4+8= 12
12 × ½ = 12 ÷ 2
12÷2 = 6
Sam purchased a laptop at $800 each year the laptop will lose 12% of its value each year what would it be the approximate value of Sam's laptop after 7 years
Answer:
$326.94
Step-by-step explanation:
For this equation you are going to do a exponential function, since we are working with percents. To do this you will make the equation
(starting price)x(1-percent)^(t) t=years
which will create the equation
800(0.88)^t
You will then plug in t=7
800(0.88)^7 =
800(0.409) =
326.94 (you will cut it off at the hundredth position because it is working with money)
Sorry if it is blurry but can you give me the answer plsss
Answer:
A) 7
Step-by-step explanation:
25% = 0.25
28 x 0.25 = 7
What type of angle relationship is shown?
Answer:
straight angle
Step-by-step explanation:
9x_15+2x_3=180
11x_18=180
11x=180+18
11x=198
x=198÷11
x=18
Answer:
The angles are a linear pair.
x = 18
Step-by-step explanation:
The angles are a linear pair, meaning the angles add up to 180 degrees.
(9x - 15) + (2x - 3) = 180
11x - 18 = 180
11x = 198
x = 18
the sum of two consecutive even integers is 122. what are the integers?
Answer:
If the numbers were the same, they'd both be 61
So, try 60 and 62.
x + x+2 = 122
2x = 120
x = 60
Hope that helps!
Answer:
60 and 62
Step-by-step explanation:
To find the answer we need to set up our problem.
For the two consecutive even integers we can call them x and x+2, as adding 2 to x will give us the next even number.
Then we form our equation:
x+x+2=122
Since we have two x we can combine them into a single term
2x+2=122
We then subtract 2 from both sides
2x=120
Divide by 2
x=60
Find the second number by inserting it into
x+2
60+2=62
Find the value of x.
Which describes where living and nonliving parts of an environment interact with and rely on each other?
A.
community
B.
ecosystem
C.
habitat
D.
population
Answer:
B
Step-by-step explanation:
Ecology is the study of ecosystems. That is, ecology is the study of how living organisms interact with each other and with the nonliving part of their environment.
For each expression, combine like terms.
A rectangular patio is 11 feet by 13 feet. What is the length of the diagonal of the patio?
Answer:
Step-by-step explanation:
use pythagoras
diagonal = [tex]\sqrt{11^{2} + 13^{2} } \\[/tex]
= [tex]\sqrt{290}[/tex] feet or 17.03 feet
Find the volume:
Please help ASAP
Answer:
6,666.67cube units
Step-by-step explanation:
Volume of the square based pyramid = BH/3
B is the base area
H is the height of the pyramid
Base area = Length * length
B = 25 * 25
B = 625 square units
Height = 32units
Volume = 625*32/3
Volume = 6,666.67cube units
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
What is the missing side?
Answer:
90
Step-by-step explanation:
the forumla of a triangle is base times height, divided by 2 and since it has a height of 12 and a base of 15, and if you multiply that it would give you 180, then divide by 2 since it is half a sqaure, which is 90
Answer:
[tex]3 \sqrt{41}[/tex]
Step-by-step explanation:
[tex]12^2 + 15^2 = x^2 \\x = \sqrt{369} = 3\sqrt{41}[/tex]
pitso went to buy ingredients for 48 minutes and came back at 16h15 .his friend claimed that he left half past 3p.m . verify hisd. claim
Answer:
His claim is false.
Step-by-step explanation:
People put nasty fake answers, so I will answer your question here. 16h15 minus 45 minutes is 15h30. If he was gone 48 minutes, he left at 15h27m
Please help me friendsss?
Answer:
I believe it is E. 95.
Hope this helps! Sorry if it doesn't!
Answer:
85
Step-by-step explanation:
180°-50°-35° = 95
180°-95° = 85°
sorry if I got it wrong
ILL MARK YOU THE BRAINLYEST
PLEASE HELPPP look at attachment
Answer:
D; is the right answer hope it helps ;)
Step-by-step explanation:
SIMPLIFICAR 36/144 POR FAVOR PLISSS
Answer:
Divide both the numerator and denominator by the GCD
36 ÷ 36
144 ÷ 36
Reduced fraction:
1/4
Therefore, 36/144 simplified to lowest terms is 1/4.
MS. Potts washed 2/3 of her laundry. Her son washed 1/4 of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
2/5 is greater than 1/4
so ms. potts washed most of the laundry
Question 3
20 pts
What is the area of the triangle below? (Just put in the number not the unit)
4.5 feet
4.5 feet
13.4 feet
8.8 feet
NO LINKS PLEASE HURRY
Answer:
14.96 is the area of the triangle
Graph #1 (on the left):
Select]
e
Graph #2 (on the right) [Select ]
Someone answer quickly