After 23 years $125.32 will be matured to $46,683.28.
What is the formula for recurring investment?The formula for Recurring maturity is given by:
[tex]A=P_n\dfrac{p\times n \times(n+1)}{24}\times \dfrac{r}{100}[/tex]
Where A=matured amount
P =Principal value
n=Number of months
r=Interest rate(annual)
We have P= $125.32
n=23*12 = 276 months
r=2.5*12 =30%
Put these values in the above formula
we get A= $46,683.28
Therefore, After 23 years $125.32 will be matured to $46,683.28.
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Q. If the word problem is asking you to find the space inside the circle, which formula should you use?
answer choices
Answer:
The last option: bottom right
Step-by-step explanation:
just look at the picture.....
Answer:
is equal to 925 i think cuz
Step-by-step explanation:
summation of arithmetic sequence
n=1 , 3n-2=3-2=1 , a=1, d=3.
sn=n+3n(n-1)
-------------
2
a=1 ,d=3 sn= n+3n(n-1)
------------
2
S25=25+3×25(25-1)
--------------
2
25+900=925
so the answer will be 925
8. A 140-pound female has three mixed drinks one right after the other.
a. What is her BAC after consuming the three drinks?
BAC =
b. What is her BAC three hours after finishing the last drink?
The BAC of the female is an illustration of proportion
The BAC after consuming the three drinks is 0.029wThe BAC three hours after consuming the drinks is 0.087 wHow to calculate the BAC?BAC is calculated using:
BAC = Alcohol consumed/(Body Weight * R)
The weight is given as:
Body weight = 140 lb
Convert to kg
Body weight = 63.5 kg
For female
R = 0.55
So, we have:
BAC = Alcohol/(63.5 * 0.55)
BAC = Alcohol/34.925
BAC = 0.029Alcohol
The weight or volume of the alcohol consumed is given.
So, we represent it with w.
BAC = 0.029w
Hence, the BAC after consuming the three drinks is 0.029w
How to calculate the BAC after 3 hours?We have:
BAC1 = 0.029w
Time (t) = 3 hours
The BAC after 3 hours is
BAC = BAC1 * (t - 0.015)
So, we have:
BAC = 0.029w * (3 - 0.015)
Evaluate the product
BAC = 0.087w
Hence, the BAC three hours after consuming the drinks is 0.087 w
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In 2009, the population of the US was approximately 306,370,370. The number of US live births in 2009 was 4,136,000. The birth rate in 2009, which takes into account changes in the population, fell to _____ births for every 1,000 people. (Fill in the blank. Round answer to one decimal place. Enter your answer in the form xx. X)
Using proportions, it is found that the birth rate fell to 13.5 births for every 1000 people.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, for 306,370,370 people, there were 4,136,000 births. How many births were there for 1,000 people? The rule of three is given by:
306,370,370 people - 4,136,000 births
1,000 people - x births
Applying cross multiplication:
306370370x = 1000 x 4136000
x = 1000 x 4136000/306370370
x = 13.5
The birth rate fell to 13.5 births for every 1000 people.
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During which time period was the ANNUAL rate of increase of the speed the GREATEST
Answer:
1-2
Step-by-step explanation: because it went up in speed by 8 and the rest went up not even to 7
Based on the table, we can deduce that the annual rate of increase of the speed was the greatest: A. from year 1 to year 2.
What is speed?Speed can be defined as the distance covered by an object per unit of time. Thus, speed can be measured as meter per seconds.
Mathematically, speed is given by this formula;
[tex]Speed = \frac{distance}{time}[/tex]
Based on the table, we can deduce that the annual rate of increase of the speed was the greatest from year 1 to year 2.
Rate = 46 - 38 = 8.
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A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in the box. express your answer using π . m
The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.
What is the Length of an Arc?The length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}[/tex]
where
θ is the angle, which arc creates at the centre of the circle in degree.
The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as
[tex]\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}[/tex]
[tex]= 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m[/tex]
Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.
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Christine went on a passenger train that traveled 80 miles in one hour. How many miles will it travel in six hours?
Answer:
480
Step-by-step explanation:
[tex]80*6[/tex] = 480
Answer:
She will travel 480 miles in 6 hours
Step-by-step explanation:
All you need to do is Multiply 80 by 6 to get an answer of 480.
Hope that helps!
7. Find the volume of a rectangular prism if the height is 14 inches and the area of the base is 30 square inches. Type your answer without units.
Answer:
420
Step-by-step explanation:
V = whl is the volume of a rectangular prism. w*h is the area, so V is area times height.
This gives us: V = 30 * 14 = 420.
A cylindrical-shaped container is 8 in. tall with a diameter of 6 in. How much water could this container hold?
A 24pie cubic inches
B 72pie cubic inches
C 216pie cubic inches
D 288pie cubic inches
Answer:
72pi cubic inches.
Step-by-step explanation:
area = pi r²
r = d / 2
r = 3
3² = 9
9pi x 8 = 72pi.
use the terms 8 , 3x , 3/2 and 4x to complete the expression below so that’s is equivalent to 9x - 12
Answer:
A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).
What is the length of a diagonal of rectangle EFGH?
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
First, we find out the length of EH, which is 7. And then, we find the length of GH, which is 3. If we square both the numbers and add them, we get 53. And then we square root that to get [tex]\sqrt{53}[/tex]
Hope this helps <:)
Don't forget to put brainliest!
What is the area of this figure?
Use 3.14 for TT.
Please help
Answer:
406.08
Step-by-step explanation:
First FInd the area of the rectangle : which is short side * long side
-> 15*12=180m
Then find the area of the half circle, the formula of the area of a circle is [tex]\pi r^2[/tex]
here it's half a circle so it's [tex]\frac{\pi r^2}{2}[/tex] where r is 12
-> [tex]3.14\cdot \frac{\left(12\right)^2}{2}=226.08 m[/tex]
Finally just add the area of the rectangle with the area of the half circle
-> [tex]180+226.08=406.08 m[/tex]
OMG I NEED HELP LIKE RIGHT NOW
Answer:
x coordinate is +3 and y coordinate is +1
Step-by-step explanation:
just count three squares right and one square down from D
f(x) = 4x -8;{-2, -1,0,1,2}
What is the range? Choose the correct answer below.
A. {-16,- 11,-8, -3,0)
B. {-16, -12,-8, -4,0}
C. {-17, -12,- 8, -4,1}
D. {-16, -11, -9,-3,0)
Answer:
B
Step-by-step explanation:
4(-2)-8 = -16, so not C
4(-1)-8 = -12, so not A or D
4(0)-8 = -8, so not D
4(1)-8 = -4, so not A or D
4(2)-8 = 0, so not D
On Monday, Payton rode 7 miles on a bike. On Tuesday, she rode 23
miles. On Wednesday, she rode 3 times as much as she did Monday
and Tuesday combined. What equation could you use to find how
many miles Payton rode on Wednesday, r?
Answer:
483
Step-by-step explanation:
I really really pray and hope this helpss.
Answer:
X=3(7+23)
Step-by-step explanation:
!!!!!:!:!:!:!:!!:!’dmemdmsmsms
DI AKO KRINUSHBAK SANA KAYO DIN
A football is punted from a height of 2.5 feet above the ground with an initial vertical velocity of 45 feet per second.
Write an equation to model the height h, in feet, of the ball t seconds after it has been punted.
The football is caught at 5.5 feet above the ground. How long was the football in the air?
Answer:
1.451 seconds. Hurry.
Step-by-step explanation:
The position(height, h) of the foot ball will be given by the equation:
h = -32.2t^2 + 45t + 2.5
The term -32.2t^2 consists of the acceleration caused by gravity at Earth's surface ( -32 ft/sec^2) and the term +45t accounts for the initial velocity. The + is assigned since the ball is moving vertically from ground. The negative sign in -32t^2 is due to the acceleration being towards ground. The term 2.5 accounts for the fact that the initial height of the ball is 2.5 feet above ground.
We can either calculate or graph with this function to find the time the ball spends in the air:
Calculate:
h = -32.2t^2 + 45t + 2.5
We need a value of t that would cause h to be 5.5 feet, the level it was caught:
5.5 = -32.2t^2 + 45t + 2.5
-32.2t^2 + 45t + 2.5 = 5.5
-32.2t^2 + 45t -3.0 = 0
Solve for t using the quadratic formula. I get a value of 1.33 seconds.
Graph:
See the attached graph. It confirms the 1.33 second value
Simplify the following if x = 3 & y = 4:
1. 2x + y =
2. 3x + 2y =
3. 3y + 2x =
4. 10x + 4y + 2x =
5. 6y + 5x =
6. 7x + 4y =
Use your knowledge about parentheses and substitution to solve the following:
q = 1; r = 2; s = 3; t = 4; x = 5; y = 6
7. 2(x+4) + 10 =
8. 3(4x) + 4 =
9. 10(xy) =
10. 2(x + y) =
11. 3(rs) + 4(x)
12. 2(q) + 2(x + t) =
13. 6(3t + 4s) =
14. 10(10x) + 10y =
15. x(xy) =
16. r(s)(t) =
17. (r)(s)(t)(x)(y) =
18. 6(2x + 3Y) =
Answer: (All below)
Step-by-step explanation:
1. 2x + y = 10
2(3) + 4) = 10
6 + 4 = 10
2. 3x + 2y =
3(3) = 2(4) =
9 + 8 = 17
3. 3y + 2x = 18
3(4) + 2(3) = 18
12 + 6 = 18
4. 10x + 4y + 2x = 52
10(3) + 4(4) + 2(3) = 52
30 + 16 +6 = 52
46 + 6 = 52
5. 6y + 5x =39
6(4) + 5(3) = 39
24 + 15 = 39
6. 7x + 4y = 37
7(3) + 4(4) = 37
21 + 16 = 37
7. 2(x+4) + 10 = 28
2( 5 + 4) + 10 = 28
2(9) + 10 = 28
18 + 10 = 28
8. 3(4x) + 4 = 64
3(4(5)) + 4 = 64
3(20) + 4 = 64
60 + 4 = 64
9. 10(xy) = 300
10(5(6)) = 300
10(30) = 300
10. 2(x + y) = 22
2(5 + 6) = 22
2(11) = 22
11. 3(rs) + 4(x)
3(2(3)) + 4(5) =
3(6) + 20 =
18 + 20 = 38
12. 2(q) + 2(x + t) = 20
2(1) + 2(5 + 4) = 20
2 + 2(9) = 20
2 + 18 = 20
13. 6(3t + 4s) = 84
6(3(1) + 4(3)) = 84
6(2 + 12) = 84
6(14) = 84
14. 10(10x) + 10y = 560
10(10(5)) + 10(6) = 560
10(50) + 60 = 560
500 + 60 = 560
15. x(xy) = 150
5(5(6)) = 150
5(30) = 150
16. r(s)(t) = 24
2(3(4)) = 24
2(12) = 24
17. (r)(s)(t)(x)(y) =720
(2)(3)(4)(5)(6)= 720
6(20)(6) = 720
120(6) = 720
18. 6(2x + 3Y) = 1080
6(2(5) + 3(6)) = 1080
6(10 + 18) = 1080
6(180) = 1080
Bryan decided to ride his bike along a new route home from school to avoid some construction. Before leaving school, he estimated how long the route would take. When Bryan arrived home, he saw the ride had taken him 16 minutes. His estimate had been 25% more than that. How long had Bryan estimated it would take to ride home from school?
Work Shown:
Estimate = 1.25*(actual time)
Estimate = 1.25*(16)
Estimate = 20
Bryan estimated it would take 20 minutes.
Note: The multiplier 1.25 represents an increase of 25%
Find the radius. ddddddddddddddddddddddddddddd
Answer:
Its 3 because the radius if half of the diameter
Step-by-step explanation:
Hello people ~
factorise ↷
x^2 + 6x + 8
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's solve ~ ☂
⧠ Here, I'm using middle term split method :
[tex] \qquad\rightarrowtail \sf {x}^{2} + 6x + 8[/tex]
[tex] \qquad\rightarrowtail \sf {x}^{2} + 4x + 2x+ 8[/tex]
[tex] \qquad\rightarrowtail \sf {x(x}^{} + 4) + 2(x+ 4)[/tex]
[tex] \qquad\rightarrowtail \sf (x + 2)(x+ 4)[/tex]
[tex]\\ \rm\rightarrowtail x^2+6x+8[/tex]
[tex]\\ \rm\rightarrowtail x^2+4x+2x+8[/tex]
[tex]\\ \rm\rightarrowtail x(x+4)+2(x+4)[/tex]
[tex]\\ \rm\rightarrowtail (x+2)(x+4)[/tex]
Done!
Find the median and mean of the data set below:
Answer:
27=mean. 30=Median
Step-by-step explanation:
trust me I know what I'm doing
Ben and Cam are scuba diving. Ben is 15.8 meters below the surface of the water. Cam is 4.2 meters below
Ben. Andrew is a further 16 meters.
Part 1 Write an expression That'll allow you to find Andrew's depth.
Part 2: What's Andrew's depth?
Answer:
27.6
Step-by-step explanation:
1) Say bens depth is x
Cam's depth is x + 4.2
Andrew's depth is x + 4.2 + 16 or x + 11.8
1) andrew's depth = x + 11.8, where x is 15.8.
Therefore, his depth is 27.6 meters.
Do problems #4-6. Your answer choices are in a table below. Type your answer numbers the blank to move on! No spaces, no commas. Put it all together. *
I need help with 5
[tex]\frac{1}{2a}[/tex]
Step-by-step explanation:Simplify or expand
[tex](2a)^{-1}[/tex]
Simplify using negative exponent rule [tex]a^{-n}=\frac{1}{a^n}[/tex]
[tex]\frac{1}{2a}[/tex]
I hope this helps you
:)
can yall help me please
I suppose, your answers are already given at the bottom of this page..
If the cost of a dozen pencil is ₹ 159.48, what will be the cost of 24 such pencil?
Answer:
₹ 318.96.
Step-by-step explanation:
24/12 = 2 , so twice as much;
159.48 * 2 = 318.96
what is AxBxD and A=130 B=300 and D=? and when do the multiplication do the answer x 900 and than we are done :)
Select the values that would satisfy the following inequality:
K ≤ 12.75
|12.75|
|-12.75|
13
|-15|
0
Answer:
If it is a conjunction that uses the word and, the solution must work in both inequalities and the solution is in the overlap region of the graph. If it is a disjunction that uses the word or, the solution must work in either one of the equations.
Step-by-step explanation:
A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.
How many red marbles are in the bag?
Answer:
4 red marbles
Step-by-step explanation:
r is the number of red marbles then green marbles is 9r , so
r + 9r = 40
10r = 40 ( divide both sides by 10 )
r = 4
there are 4 red marbles
Lucy wants to make a confidence interval to estimate the true mean wait time explain throughly why Lucy has or has not satisfied the normal condition for contstructing a confidence interval
The confidence interval would help Lucy determine the probability that a parameter will fall between two values around the mean.
How to determine the normal condition for the confidence interval?The question is incomplete, as the needed parameters to answer the question are missing.
So, I will list the normal conditions for constructing the confidence interval
The condition for constructing the confidence interval include:
The sample must be a random sampleThe variables must be independenceThe samples must be a large sample i.e. 30 or greaterThe sample size should be less than or equal to 10% of the population sizeRead more about confidence interval at:
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