The geometric sequence can increase or decrease exponentially
The correct sum of the 4th and the 5th terms is 432
How to determine the correct sum?The given parameters are:
Initial value (a) = 4
Growth factor (r) = 3
The nth term of a geometric sequence is calculated as:
[tex]T_n = ar^{n-1}[/tex]
This gives
[tex]T_n = 4 * 3^{n-1}[/tex]
For the 4th term; we have:
[tex]T_4 = 4 * 3^{4-1}[/tex]
[tex]T_4 = 108[/tex]
For the 5th term, we have:
[tex]T_5 = 4 * 3^{5-1}[/tex]
[tex]T_5 = 324[/tex]
Add the 4th and the 5th terms
Sum = 108 + 324
Sum = 432
Hence, the correct sum of the 4th and the 5th terms is 432
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Matthew bought 12 roses for his mother. Exactly 1 of the roses were white. How many of the roses were white?
2
3
4
5
What is [tex]\sf{\displaystyle\frac{1}{4}}[/tex] of 12?
In order to find it, we should divide 12 by 4:-
3
Now, solve our word problem:-
Matthew bought 12 roses. [tex]\sf{\displaystyle\frac{1}{4} }[/tex] of these roses were white.
And we already know how to solve this problem :)
Hence,
[tex]\bigstar{\boxed{\pmb{3~of~the~roses~were~white}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
A six-faced die is rolled .
a)Find the probability of it landin on a value more than 4
b)find the probability of it landing on an even number
Answer:
[A] 2/6
[B] 1/2
Step-by-step explanation:
Given:
A six-faced die is rolled .
To Find:
Find the probability of it landing on a value more than 4
Find the probability of it landing on an even number
Part A:
Knowing that a six-faced die has six number on it (1,2,3,4,5,6)
Thus, the probability of it landing on an value more than 4 is 2/6.
Because 5 and 6 is more than 4
Part B:
1,3,5 = Odd
2,4,6 = Even
Thus, the probability of it landing on an even number is 3/6 Simplify 1/2 . Which also is 50%.
~Lenvy~
What is the area of H?
How many pieces of wood will be brought to complete the project?
Answer:
250
Step-by-step explanation:
Because if you multiply 10 by 10 you get 100 and then multiply 100by 2.5
These graphs show the cost C for ordering n homecoming dance invitations from two doffer Companies
Do you have a picture of the mathmatic problem?
Help please!! Thank you!! :)
Let m = x^2+3
Which equation is equivalent to (x^2+3)^2+7x^2+21=-10 in terms of m?
A. m^2+7m+10=0
B. m^2-7m+10=0
C. m^2+7m+31=0
D. m^2-7m+31=0
Answer:
A. m^2+7m+10=0
Step-by-step explanation:
This is a problem in pattern matching, and in substituting a variable for a pattern.
(x^2+3)^2 +7x^2 +21 = -10 . . . . . . given
(x^2 +3)^2 +7(x^2 +3) = -10 . . . . . factor the last two terms
m^2 +7m = -10 . . . . . . . . . . . . subsitute m for x^2 +3
m^2 +7m +10 = 0 . . . . . . . . add 10 to both sides; matches A
A circular plot of land has a diameter of 16 yards. what is the area of the
land? use 3.14 for t.
Here's the solution :
radius = 8 yards ( half the diameter )
now, we know,
[tex]area=[/tex] [tex]\pi r^2[/tex]
let's solve,
[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex][tex]200.96[/tex] [tex]yd^{2}[/tex]so, correct answer is [tex]200.96[/tex] [tex]yd^2[/tex]
Muriel is considering leasing a car, and she is even thinking about buying it after the lease is up. She's trying to make sense of the terms of the lease before she makes her decision, but she's having a little trouble figuring it all out. The terms of the lease are as follows.
Terms:
Length of lease: 32 months
MSRP of the car: $26,260
Purchase value of the car after lease: $14,330
Down payment: $1270
Security deposit: $605
Acquisition fee: $765
Lease factor: 0.00073
Provide Muriel with some assistance by answering the following questions. 5 points: Part I - 1 point; Part II - 1 point; Part III - 1 point; Part IV - 1 point; Part V - 1 point)
What is the amount of the cash due at signing?
What would be Muriel's monthly payment? What is the total amount of money that Muriel would spend on monthly payments? What is the total cost of leasing the car, assuming that Muriel does not get the security deposit back?
What is the total price of the car if Muriel buys it after leasing, assuming that she does not get the security deposit back
The amount of cash due based on the terms of the lease that Muriel will pay is $2640.
How to calculate the cash due?The amount of cash due is calculated thus:
= Security deposit + Acquisition fee + Down payment
= $605 + $1270 + $765
= $2640
The monthly lease payment will be:
= Depreciation + Interest
= $133 + $28.7
= $161.70
Depreciation was calculated as:
= ($24990 - $14330) / 32 = $133
Interest was calculated as:
= Capitalized cost + Residual value × Money factor
= ($24990 + $14330) × 0.00073
= $28.70
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please Help me, please :)
Answer:
i believe the answer to this is (C)
Step-by-step explanation:
original price of television is $729 , 18%of the original price , 6% tax applied after discount
Answer:
139.0932
Step-by-step explanation:
729×18%×(1+6%)
729x0.18x(1+0.06)
729x0.18x1.06
139.0932
Suppose that 25 inches of wire costs 75 cents.
At the same rate, how much (in cents) will 21 inches of wire cost?
Answer:
73 cents
Step-by-step explanation:
first multiply 75×21 and you will get 1575 then divide 1575 by 25 and you get 73 which is 73 cents
Help please :3
What is the function rule for the table below?
_5×1_5=_10
_5×2_5=_15
_5×3_5=_20
To play a game, a number cube with sides numbered 1 through 6 is rolled and a fair coin is flipped.
Use a table to represent the sample space.
What is the probability of flipping a head AND rolling either a 3 or a 5? Round the percent to the nearest tenth.
PLEASE HELP!!!
Answer:
Using it's concept, it is found that there is a 8.3% probability of flipping a head AND rolling a 3.
Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 6?
A. 31/36
B. 1/18
C. 1/6
D. 5/36
Answer:
D. 5/36
Step-by-step explanation:
a man fences a 5m by 6m rectangular plot to keep in his chickens . the fencing costs $119 per meter. how much does it cost to fence the plot
Answer: 3570$
Step-by-step explanation:
5 x 6 = 30
30 x 119 = 3570
If X = 72, Y = 30, and Z = 78, what is the cosine of B?
You need to use ABC instead of XYZ because it is unclear which one is B.
You can buy 7 pairs of jeans for $108.50. how many pairs of jeans can you get for $387.50?
Answer:
25 jeans
Step-by-step explanation:
take your total, and divide it by the number of items to get the price of a single item. then, once you have the price of the single item, you take the other price, and divide it by the single price of the jeans, to get the total amount of jeans you can buy.
Which choices are in the solution set of the equation below? Check all that
apply.
4x = 30
A. 8
B. 7.5
C. 8.5
D. 7
E.6.5
True or false the incenter of a triangle is the center of the only circle that can be circumscribed about it?
Answer:
true because the center of the triangle is in the middle
i) A number consists of two digits. If the number formed by reversing its digits
is added to it, the sum is 143 and if the same number is subtracted from it the
remainder is 9. Find the number.
Call the two-digit number : ab
The new number formed : ba
We have : 10a + b + 10b + a = 143
11a + 11b = 143
a+b = 143 : 11 = 13
So, we have a few combinations for a and b : (4;9) , (5;8) , (6;7) , (7;6) , (8;5) , (9;4)
Out of all these, only 76 is the satisfied number, as the new number formed is 67, and 76 + 67 = 143 ; 76 - 67 = 9
A student’s work to simplify a radical is shown below. Select the statement which best applies to the sample mathematical work.
Answer: D
Step-by-step explanation:
Help, me and my partner are timed, no links thx
Answer:
9/12
Step-by-step explanation:
There are 3 pies, the total amount of slices before they were eaten is 12. If you add the slices left..3+3+3 that would be 9
Answer:
D: 2 1/4
Step-by-step explanation:
I'm not really sure though. But since there are 3 apple pies if you take one slice from one of the pies and add it to another pie it will make one whole pie and then after there is one whole pie you do the same to another pie and their is 2 whole pies and their is one slice remaining and there is 4 whole slices in a whole pie so there fore I'm guessing that the answer is 2 1/4
I hope that helped. :)
Ben runs 3/4 mile each day.How many Miles Does ben run in 12 days
Answer:
9 miles
Step-by-step explanation:
0.75x12=9
or
75x120=90
90/10=9
If Ben runs 3/4 mile each day than he runs 9 miles in 12 days.
To find out how many miles Ben runs in 12 days
we need to multiply the distance he runs each day (3/4 mile) by the number of days (12).
First, let's convert 3/4 mile to a decimal:
3/4 mile = 0.75 mile
Now, we can calculate the total distance Ben runs in 12 days:
0.75 mile × 12 days
= 9 miles
Therefore, Ben runs 9 miles in 12 days.
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A^2+5A+4 (A=-5). Evaluate the expression
Answer:
4
Step-by-step explanation:
First, rewrite the equation with -5 substituted for A: (-5)^2 +5(-5) +4
Next, simplify that equation: 25 -25 +4
Simplify this further: 4
When A=-5, the solution is 4.
Hi please help me me with this thank you so much
⇒ Area = 18 * 18 = 324 square inches
Question 2: Height of PyramidHeight of Pyramid: distance between the tip of the figure to the base
⇒ Height = 14 inches
Question 3: Volume of PyramidVolume of Pyramid's formula ⇒ 1/3 * (base area) * height
⇒ [tex]\frac{1}{3} * 324 * 14 = 108 * 14 =[/tex] 1512 cubic inches
Hope that helps!
The circumference of a circle is 6.28 millimeters. What is the circle's radius?
Use 3.14 for .
Answer:
Solution
Circumference=6.28
R=?
Circumference of Circle=2πr
or,6.28=2×22/7×r
or,r=0.99
Therefore, The radius is 0.99 mm2
I think it will help you.
Two number cubes are rolled what is the probability that both cubes land on 1
Answer:
[tex]\frac{1}{36}[/tex]
Step-by-step explanation:
The probability of having 1 is 1/6.
The probability of it happening twice in a row is 1/6 * 1/6 = 1/(6*6)=1/36
Ella's family took a road trip to Niagara Falls. Ella slept through the last 14% of the trip. If Ella fell asleep after they had travelled 602 miles, what was the total length of the trip?
The total length of the trip is approximately 700 miles as per the concept of percentage.
To find the total length of the trip, we need to determine the distance covered before Ella fell asleep and then calculate the whole trip's length.
Let's denote the total length of the trip as "T" miles.
Ella slept through the last 14% of the trip, so she was awake for the first 100% - 14% = 86% of the trip.
The distance covered before Ella fell asleep is 86% of the total trip's length:
86% of T = 0.86T
We know that Ella fell asleep after they had traveled 602 miles, so we can set up the following equation:
0.86T = 602
To find the total length of the trip, we solve for T:
T = 602 / 0.86
T ≈ 700
The total length of the trip is approximately 700 miles. Ella's family traveled this distance, and Ella fell asleep after they had traveled 602 miles, which is 86% of the total trip's length.
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Jennifer has $65 to spend on pants and shirts. She buys a pair of pants for $25 and buys shirts that cost $11 each. What is the greatest number of shirts Jennifer can buy? Enter your answer in the box.
Answer:
3 pairs of shirts and one pair of pants
Step-by-step explanation:
$65-$25(for pants)=$40
$40/$11(how much one shirt cost)=3
Please help me! There is a picture!
Hey there!
In order to multiply fractions, all we should do is multiply the numerator of the first fraction times the numerator and the denominator of the first fraction times the denominator of the second one:
[tex]\bold{\displaystyle\frac{2}{7} x\frac{1}{3} }[/tex]
Multiply 2 times 1 and 7 times 3:
[tex]\boxed{\boxed{\bold{\displaystyle\frac{2}{21} }}}[/tex] (Final Answer)
Hope everything is clear.
Let me know if you have any questions; if so, please comment.
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#LearningIsFun
[tex]\rule{200}{2}[/tex]
Suppose a city with population 500,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 24 years
Answer
The population of the city in 24 years will
be approximately 2,024,467.3206337208
What is the population in 24 years?
The formula for calculating future value:
Population:- 2,024,466