Answer:
Annual payment wil be 2,001 and total amount after compounded annually will be 27,001
I need help for this question!!
Part (i)
We start with five dots to make the pattern in figure 1.
In figure 2, we add on 1 dot to each arm of the X shape. So that means we've added 4 dots total going from 5 to 5+4 = 9 dots.
In figure 3, there are 9+4 = 13 dots
So the pattern is simply "add 4" to get the next term. Again, this is because we add one dot per arm.
The first three terms of this arithmetic sequence are: 5, 9, 13
Your teacher wants to know what the general nth term is
We start with a = 5 and the common difference is d = 4
T(n) = nth term
T(n) = a + d(n-1)
T(n) = 5 + 4(n-1)
T(n) = 5 + 4n - 4
T(n) = 4n + 1
Let's try it out. Say we want to plug in n = 2
T(n) = 4n + 1
T(2) = 4(2) + 1
T(2) = 8 + 1
T(2) = 9
This works because the second figure indeed has 9 dots. I'll let you confirm the other figures.
Answer: 4n + 1============================================================
Part (ii)
Your teacher wants to know how many dots occur when n = 50
T(n) = 4n + 1
T(50) = 4(50)+1
T(50) = 200 + 1
T(50) = 201
Verifying this through drawing dots is going to be a very tedious task, and I don't recommend it unless you really want to. Hopefully the verification process of T(2) = 9, and similar (for small values of n) is enough to convince you that this equation works as intended.
Answer: 201The distance between points A(0,1) and B(x, 4) is p
34. Find the x coordinate for point B.
Answer:
X = (P^2 - 9) ^ 1/2
Step-by-step explanation:
P^2 = (4 - 1)^2+ (0 -X)^1/2
Find the Algebric Equation
The sum of the product of 5 and a number, and 8
Answer:
5x+8
Step-by-step explanation:
First find the product of 5 and a number
5x
Then sum it with 8
5x+8
*(30 points)* One pump can fill a tank of water in 2 hours. A second tank can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank?
The first pump fills one tank in 2 hours, so it works at a unit rate of (1 tank)/(2 hours) = 0.5 tanks/hour.
The second pump takes 3 hours to fill the same tank, so it works at a rate of (1 tank)/(3 hours) ≈ 0.33 tanks/hour.
Working together, the pumps can fill one tank at a rate of
(1/2 + 1/3) tanks/hour = (3/6 + 2/6) tanks/hour = 5/6 tanks/hour ≈ 0.83 tanks/hour
Then the time it takes both pumps to fill one tank is
(1 tank) / (5/6 tanks/hour) = 6/5 hours = 1.2 hours = 72 minutes
Given that S=n/2(2a+(n-1)d). If a=4,d=3 and n=20 find the value of S
Answer:
s=650
Step-by-step explanation:
s=n/2(2a+(n-1)d)
s=20/2[2x4+(20-1)3]
s=20/2(2x4+19x3)
s=20/2(8+57)
s=20/2x65
s=10x65
s=650
Answer:
s=650
Step-by-step explanation:
Sum of 'n' terms formula is given by:-
s=n/2(2a+(n-1)d)
s=20/2[2x4+(20-1)3]
s=20/2(2x4+19x3)
s=20/2(8+57)
s=20/2x65
s=10x65
s=650
If the angle is in standard position and P(x, y) is a point on the terminal side of , and r is the distance from the origin to P, then sin() = Incorrect: Your answer is incorrect. cos() = tan() = .
cos(a) = x/r
sin(a) = y/r
tan(a) = y/x
In the image at the end, you can see a sketch of the situation, we can model this with a triangle rectangle:
The hypotenuse length is equal to r, the adjacent cathetus to the angle is the x-value, and the opposite cathetus to the angle is the y-value.
Now we can remember the trigonometric relations:
cos(a) = (adjacent cathetus)/(hypotenuse)
sin(a) = (opposite cathetus)/(hypotenuse)
tan(a) = (opposite cathetus)/(adjacent cathetus)
Using what we wrote above, we can rewrite these as:
cos(a) = (adjacent cathetus)/(hypotenuse) = x/r
sin(a) = (opposite cathetus)/(hypotenuse) = y/r
tan(a) = (opposite cathetus)/(adjacent cathetus) = y/x
if you want to learn more about this topic, you can read:
https://brainly.com/question/24297646
find the center of a circle with the equation: x^2+y^2-32x-60y+1122=0
A. (24, 30)
B. (13, 20)
C. (14, 28)
D. (16, 30)
Answer:
-32x-60y+1122=0
-(32x+60y-1122)=0
32x+60y-1122=0
by factorize
Answer:
24,30
Step-by-step explanation:
What is the height of the building?
(33.85307637623) = 33.9m
the answer is option d
f) 60 students in a hostel have food enough for 30 days. If 20 more students join the hostel after 10 days, how long will the remaining food last?
Answer:
Hello,
10 days
Step-by-step explanation:
60 étudiants dans un foyer ont assez de nourriture pour 30 jours. Si 20 étudiants supplémentaires rejoignent l'auberge après 10 jours, combien de temps durera la nourriture restante ?
Let say A the quantity of food
60 students in a hostel have food enough for 30 days ==> A=k*60*30
==> k=A/1800
Let say x the duration of the food.
60 students for x days + 20 students for (x-10) days =A
[tex]k*60*x+k*20*(x-10)=A\\[/tex]
[tex]\dfrac{A*60*x}{1800} +\dfrac{A*20*(x-10)}{1800} =A\\\\60x+20x-200=1800\\\\80x=1600\\\\x=20\\[/tex]
Duration for the 80 students: 20-10=10days
what is the slope of the line? please help
Answer:
Here, we see that the slope (m) equals -1.
Step-by-step explanation:
m=Rise/Run
-2/2=-1
Hope it helps:)
I need help ASAP!!Explain the answer
Answer:
volume=pi times r^2 height÷3.
r is the radius, or in this case 4yd. height is 10yd. pi is 3.14
Here are the steps:
3.14r^2 height÷3
3.14×4^2 10÷3
=167.55
final answer rounded to the nearest tenth: 167.6
I apologize for getting the math wrong the first time. My formula was correct, but I needed to double check my calculations. I'm certain this is the right answer.
In the figure, p is parallel to s. Trasnversals t and w intersect at point L.
Statement
What is the missing reason in step 3?
a.) Alternate interior angles along parallel lines are congruent
b.) Alternate exterior angles along parallel lines are congruent
c.) Corresponding angles along parallel lines are congruent
d.) Vertical angles are congruent
Option C
Corresponding angles along parrellel lines are conguerent.
Answered by Gauthmath must click thanks and mark brainliest
the velocity of a body is increases from 10 m/s ti 15 m/s in 5seconds calculate its acceleration
Answer:
[tex]accelaration = \frac{change \: in \: veloity}{time} \\ = \frac{15 - 10}{5} \\ = \frac{5}{5} \\ = 1 \frac{m}{ {s}^{ - 2} } [/tex]
Answer: acceleration = 1 m/s²
Concept:
Here, we need to know how to calculate the acceleration of a body.
a = Δv / Δt = (v₂ - v₁) / (t₂ - t₁)
v = velocity
t = time
unit = m/s²
Solve:
Given information
v₁ = 10 m/s
v₂ = 15 m/s
Δt = 5 seconds
Given expression
a = (v₂ - v₁) / (t₂ - t₁)
Substitute values into the expression
a = (15 - 10) / 5
Simplify values in parentheses
a = 5 / 5
Simplify by division
[tex]\boxed{a=1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Mike, the barista at Moose Jaw Coffee, has to mix together two kinds of coffee beans - Mocha Madness, which costs $12 a pound, and Sumatra Sweetness, which costs $20 a pound - to produce forty pounds of a coffee that costs $14 a pound. The beans in the mixture sell for the same price as they would separately. How many pounds of Mocha Madness coffee will Mike put into the mixture
Answer:
mocha madness = 30 pounds
Step-by-step explanation:
Let
x = Mocha Madness
y = Sumatra Sweetness
two equations can be derived from the question
x + y = 40 equation 1
12x + 20y = 14 x 40 equation 2
Multiply equation 1 by 12
12x + 12y = 480 eqn 3
subtract eqn 2 from 3
8y = 80
y = 10
substitute for y in equation 1
x + 10 = 40
x = 40 - 10
x = 30
8y = 180
y = 10 pounds
x = 30 pounds
question 8b , thanks
Answer:
Step-by-step explanation:
[tex]a = \frac{2b+1}{3b-1}[/tex]
b = 2/3
[tex]2b + 1 = 2*\frac{2}{3}+1\\\\=\frac{4}{3}+1\\\\=\frac{4}{3}+\frac{3}{3}\\\\=\frac{7}{3}\\\\3b-1 = 3*\frac{2}{3}-1\\\\=2- 1 = 1\\\\\\[/tex]
[tex]a = \frac{2b+1}{3b-1}\\\\a=\frac{\frac{7}{3}}{1}\\\\=\frac{7}{3}\\\\[/tex]
a = 7/3
b)
[tex]\frac{2b+1}{3b-1}=a\\\\[/tex]
Cross multiply,
2b + 1 = a*(3b - 1)
2b + 1 = a*3b - 3*a
2b + 1 = 3ab- 3a
2b = 3ab - 3a - 1
2b - 3ab = -3a - 1
b(2 - 3a) = -3a - 1
[tex]b =\frac{-3a - 1}{2 - 3a}[/tex]
14. What is the measure of angle wº? Show all work.
Answer:
100 degrees
Step-by-step explanation:
We can start by finding angle y, which is supplementary to 160.
180-160=20
angle y = 20 degrees.
With that, we can find angle w using the interior-exterior sangle theorem (or whatever name you use for it) which states that "the measure of an exterior angle of a triangle equals the sum of the measures of two remote interior angles". In other words:
angle w = angle y + 80
angle w = 20+80
angle w = 100.
The final answer is 100 degrees.
I hope this helped! :D
Answer:
Hello,
w=100
Step-by-step explanation:
y=180-160 (angles supplementaries)
y=20
w is a externel angle of the triangle is equal to the sum of non adjacents angles:
w=80+20=100
What are the zeros of the following quadratic equation: y = 6x2 - 17x - 3
Answer:
[tex]\displaystyle x=-\frac{1}{6}, 3[/tex]
Step-by-step explanation:
Hi there!
[tex]y = 6x^2 - 17x - 3[/tex]
Factor by grouping:
[tex]y = 6x^2 - 18x+1x - 3\\y = 6x(x- 3)+1x - 3\\y = 6x(x- 3)+(x - 3)\\y = (6x+1)(x- 3)[/tex]
Let y=0. Apply the zero product property:
[tex]0 = (6x+1)(x- 3)[/tex]
[tex]6x+1=0\\6x=-1\\\\\displaystyle x=-\frac{1}{6}[/tex]
AND
[tex]x-3=0\\x=3[/tex]
I hope this helps!
2^3*2^4=2^x
Solve for X PLZ HELP
Answer:
7
Step-by-step explanation:
if the bases of the exponents are the same then we can add the powers. so 2^3 * 2^4 = 2^7 = 128.
Answer:
7
Step-by-step explanation:
2^3⋅2^4= 2^7
2^7=2^x
since it had the same base you wouldn't need to worry about it you can just focus on the exponent.
7=x
swap it over
x=7
Padma cycled p km on Monday. She cycled 8 km less on Tuesday. What was the distance she cycled on Tuesday?
Distance cycled on Monday = p km
Distance cycled of Tuesday
= 8 km less than the distance cycled on Monday
= p km - 8 km
= (p - 8) km
So, distance cycled of Tuesday is (p - 8) km.
What is the value of g?
Answer:
56 degrees
Step-by-step explanation:
1. Notice how g is part of a right angle, which equals 90 degrees.
2. Notice how the 34 degree angle on the other side is also part of a 90 angle.
3. Notice how the 2 right angles are vertical to each other, meaning they are the same.
4. Subtract 34 from 90.
5. g=56 degrees
Hope this helps!
-Stella
I think it would be 90 degrees. The g marking looks like it's taking up 2 angles. One of the angles is 34 degrees, because it's opposite to the one marked. Together they look like they form a 90 degree angle.
*It's kind of of hard to see if g is referring to both angle degrees or not.
Find the angle that has tangent,1.000.Give your answer correct to two significant figures
Answer:
Step-by-step explanation:
Degrees Radians tangent
60° π/3 √3
45° π/4 1
30° π/6 1/√3
0° 0 0
18) Mala gave Kamala half the number of sweets she had. She then had 7 sweets left. How many sweets did Mala have at the start?
Answer:
Mala had 14 sweets at the start.
Step-by-step explanation:
7 x 2 = 14
To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)
I NEED HELP JANSJEHEHSHSBSBSBSH
Answer:
The answer is a translation
Step-by-step explanation:
In Math, translation is the displacement of a shape or object from one place to another.
Since the picture shows that the shape moved from one place to the next while remaining the same size, it is translation.
Write an equivalent expression for each of the following. Express your answers in the form a + bi or a - bi
(5 + i)(9 + i)
Help please
Answer:
44 +14i
Step-by-step explanation:
(5 + i)(9 + i)
FOIL
first 5*9 = 45
inner: 9i
outer :5i
last: i*i = i^2 = -1
Add togheter
45 + 9i+5i -1
Combine like terms
44 +14i
work out the values of a and b in the identity 5(7x + 8) + 3(2x + b) = ax+ 13
will give brainiest!!!
Answer:
a=41 b=-9
Step-by-step explanation:
By expanding the brackets on the left hand side of the equation you get,35x + 40 + 6x + 3b and by simplifying you get 41x + 40 + 3b.by comparing the x and constant terms on either side you find that a = 41, and3b + 40 = 13, rearranging b = -9.
Answer from Gauth math
Answer:
Hello,
Step-by-step explanation:
We are going to use identification of terms.
[tex]5(7x+8)+3(2x+b)=ax+13\\\\35x+40+6x+3b=ax+13\\\\41x+40+3b=ax+13\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\3b+40&=&13\\\end{array}\right.\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\b&=&-9\\\end{array}\right.\\\\[/tex]
Produced by myself
Correct answer gets brainliest and 5 star
Answer:
d
Step-by-step explanation:
Answer:
option D
Step-by-step explanation:
the formula for slope is: y = mx + b
where m = slope & b = y intercept
so in y = -2x + 1,
m (slope) = -2 & b (y-int) = (0,1)
Mr. Ruiz has $438.60 taken from
his account each month to pay for
the loan on his car. What is the
change in the account caused by
4 months of payments?
find the area of this rectangle
The answer is
2x^2+1x-45
STEM The diagram shows the structure of a molecule of sulfur dioxide. The ratio of oxygen atoms to sulfur atoms in sulfur dioxide is always the same. How many oxygen atoms (O) are there when there are 6 sulfur atoms (S)? Explain how you got your answer.
The ratios of oxygen atom and sulfur atom is an illustration of equivalent ratios.
There are 12 oxygen atoms, when the number of sulfur atom is 6.
From the diagram, we have:
[tex]S = 1[/tex]
[tex]O_x = 2[/tex]
So, the ratio is:
[tex]S : O_x = 1 : 2[/tex]
When there are 6 sulfur atoms, the equation becomes
[tex]6 : O_x = 1 : 2[/tex]
Express as a fraction
[tex]\frac{O_x}{6}= \frac{2}{1}[/tex]
Multiply both sides by 6
[tex]O_x = 2 \times 6[/tex]
[tex]O_x =12[/tex]
Hence, there are 12 oxygen atoms
Read more about equivalent ratios at:
https://brainly.com/question/18230617
Find the volume of the prism. Round to the nearest tenth.
Answer:
829.6
Step-by-step explanation:
Volume = sh
= (5+12) x 6.1 / 2 x 16
= 12 x 6.1/2 x 16
= 17 x 6.1 x 8
= 829.6 mi^3
Answered by Gauthmath
