ANSWER
Converges
[tex]S_{ \infty } = 68[/tex]
EXPLANATION
The guy sequence is
17 + 12.75 + 9.5625 + ...
The common ratio is:
[tex] \frac{9.5625}{12.75} = \frac{12.75}{17} = \frac{3}{4} = r[/tex]
Since
[tex] |r| < 1[/tex]
the series converges.
The sum to infinity of this sequence is :
[tex]S_{ \infty } = \frac{a}{1 - r} [/tex]
where a=17 is the first term of the series.
[tex]S_{ \infty } = \frac{17}{1 - \frac{3}{4} } [/tex]
[tex]S_{ \infty } = \frac{17}{ \frac{1}{4} } = 68[/tex]
Julie’s employer does a 50% match to its employees’ contributions to their 401k accounts. If Julie puts $12,000 in her 401k, what is her balance after her employer’s contribution is added?
A
$ 6,000
B
$ 12,000
C
$ 18,000
D
$ 24,000
Answer: C 18000
Step-by-step explanation:
Julie contributes $12,000 to her 401k and her employer matches 50% of this amount, contributing an additional $6,000. Thus, the total balance in Julie's 401k after the employer's contribution is added is $18,000.
The question involves calculating the total balance in Julie's 401k account after her employer's contribution. Julie contributes $12,000 to her 401k, and her employer offers a 50% match on contributions. To find the total balance, first calculate the employer's contribution, which is 50% of Julie's contribution, so $12,000 x 0.5 = $6,000.
Adding the employer's contribution to Julie's contribution gives us the total balance in the 401k account. Therefore, $12,000 (Julie's contribution) + $6,000 (employer's match) = $18,000.
Fill in the blank. Given ○R below, you can conclude that RA is congruent to ____.
(clicked A. on accident)
Answer:
D
Step-by-step explanation:
Answer D is correct. The indicated line segments are both radii of the circle and are thus of the same length (and thus, congruent).
Answer: D. RE
Step-by-step explanation:
In the given picture , we have a circle with center R having two chords as WF and MU.
The two chords WF and MU have equal length.
i.e. [tex]WF=MU=11.2[/tex]
We know that the equal chords of a circle are equidistant from the center.
⇒ [tex]\overline{RA}=\overline{RE}[/tex]
Therefore, we conclude that RA is congruent to RE.
What is the remainder when 7^85 is divided by 41? How can you solve this without using a calculator?
Answer:
you are supposed to divide it
Step-by-step explanation:
41divided by 85=
Solve by using the x-intercept method:
x^3+x^2-17x+15=0
A. 1,17,15
B. -5,1,3
C. 1,3,5
D. -3,1,5
Put into graphing calculator and get B.-5,1,3
The correct answer is B, or -5, 1, 3.
Just got it right on edge 2020, hope this helps!! :)
HELP PLEASE?
Henry showed all the steps he took to solve the equation.
(picture)
Sammy tried to verify the solution by substituting x=5 back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?
Step 1 is wrong because the distributive property of equality was used incorrectly.
Step 2 is wrong because the addition property of equality was used incorrectly.
Step 3 is wrong because the subtraction property of equality was used incorrectly.
Step 4 is wrong because the division property was used incorrectly.
Answer:
Step 3 is wrong.
Step-by-step explanation:
They must subtract the 28 from 15 first. This will give you 3x=-13. Then, you divide each side by 3, giving an answer of x=-4.33, or x=-13/3.
Answer:
step 3 is wrong
Step-by-step explanation:
consider step 2
3x + 28 = 15 ( subtract 28 from both sides ) gives
3x = 15 - 28
3x = - 13 ← what step 3 should be
If two angles of a triangle have measures of 42° and 20°, what is the measure of the third angle?
Answer:
118°
Step-by-step explanation:
The sum of a triangle is always gonna be 180°. Adding 42° and 20° you get 62°. When you subtract 180° minus 62° you the third angle which is 118°.
the answer is 118
every triangle equals 180 so just subtract 180 and the two angles and boom 118 degrees
Use the grouping method to factor this polynomial completely 4x^3+8x^2+3x+6
Answer:
Final answer is [tex](4x^2+3)(x+2)[/tex].
Step-by-step explanation:
Given expression is [tex]4x^3+8x^2+3x+6[/tex].
Now we need to factor that by the method of grouping.
So make two groups having first two terms and then last two term.
Factor each group then factor once more.
[tex]=4x^2(x+2)+3(x+2)[/tex]
[tex]=(4x^2+3)(x+2)[/tex]
It can't be factored anymore so the final answer is [tex](4x^2+3)(x+2)[/tex].
the factored form of 4x^3+8x^2+3x+6 using the grouping method is (x+2)(4x^2+3).
To factor the polynomial 4x^3+8x^2+3x+6 using the grouping method, we can start by grouping terms in pairs and factoring out common factors in each pair. Here is a step-by-step explanation:
First, write down the given polynomial: 4x^3+8x^2+3x+6.Group the terms: (4x^3+8x^2) + (3x+6).Factor out the common factors from each group: 4x^2(x+2) + 3(x+2).Now, notice that (x+2) is a common factor in both terms, so factor it out: (x+2)(4x^2+3).Therefore, the factored form of 4x^3+8x^2+3x+6 using the grouping method is (x+2)(4x^2+3).
HELP ME WITH THIS 60 POINTS,5-STAR RATING, AN THANKS AND MARKED AS BRANLIEST.
Answer:
23 D
24 B
25 Add 6.1 to each side
Step-by-step explanation:
23. w+2 < -1
Subtract 2 from each side
w+2-2 <-1-2
w < -3
There is an open circle at -3 with a line going to the left
Choice D
24. -15 > q-5
Add 5 to each side
-15+5> q-5+5
-10>q
q must be less than -10
B {-11,-12,-14} are the only numbers all less than -10
25 p-6.1=10
Add 6.1 to each side
p-6.1+6.1 = 10+6.1
p =16.1
Answer:
24) C: {-9, -8, -7}
25) Add 6.1 to both sides of the equation.
Step-by-step explanation:
Question 24 is asking which set of numbers when subtracted by five is still greater than -15. C is the only one that matches.
(Edit: I realize after reading another answer that B is correct, not C. I misread the question.)
In question 25 you can easily solve for p by adding 6.1 to both sides of the equation.
which best describes the rule for this pattern?
1,-12,12,-1...
a) Subtract -24, then add 13
b) Subtract -13, then add 24
c) Subtract 13, then add 24
d) subtract 24, then add 13
b is the correct answer it's the only 9ne that fits
please help thx so much
Answer: i believe your answer is (80/99)
Step-by-step explanation:0.8080... repeating is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction.In rational form, it is 80/99.
I hope i helped :)
[tex] \frac{80}{99} [/tex]
[tex]x = 0.808080[/tex]
[tex]100x = 80.808080[/tex]
[tex]99x = 80[/tex]
[tex]x = \frac{80}{90}[/tex]
Need help plsss plsss plsss
Answer:
144%
Step-by-step explanation:
36/25= 1.44
1.44 x 100
Answer:144%
Step-by-step explanation:
To write 36/25 as a percent you have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .
36/25 * 100 = 1.44 * 100 = 144%
Hope it helps
To order a class ring, students must decide on a gold, silver, or white gold band and one of 15 stones. They must also choose from one of 30 activity symbols to put on the side. How many different ring selections are there?
Answer:
1350 different selections.
Step-by-step explanation:
They have 3 choices for the bands. 15 choices for the stones. and 30 choices for the symbols. Multiply 3 x 15 x 30 for the total number of selections.
Answer: There are 1,350 different ring selections.
Step-by-step explanation:
Given : The number of metals used for rings (gold, silver, or white gold ) =3
The number of stones they have = 15
The number of activity symbols = 30
By using the fundamental principal of counting , we have the total number of different ring selections as :-
[tex]3\times15\times30=1,350[/tex]
Therefore, there are 1,350 different ring selections.
Solve for x in the equation x^2 -10+25=35?
Answer:
5[tex]\frac{+}{-} \sqrt{35}[/tex]
Let's solve your equation step-by-step.
x^2−10+25=35
Step 1: Simplify both sides of the equation.
x^2+15=35
Step 2: Subtract 15 from both sides.
x^2+15−15=35−15
x^2=20
Step 3: Take square root.
x=±√20
The value of a 1970 comic book has increased 12% per year. It originally sold for $0.35. Write an exponential equ Show your work.ation that models this situation and use it to answer the question.
we can think of this as the same as a deposit in a bank, so let's use the compound interest formula, since the book is increasing in value 12% per annum.
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$0.35\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &t \end{cases} \\\\\\ A=0.35\left(1+\frac{0.12}{1}\right)^{1\cdot 5}\implies A=0.35(1.12)^t[/tex]
Find the unknown side length, x. Write your answer in simplest radical form.
Using the Pythagorean Theorem, you should get 45 [9 + 36]. Then, take the square root of 45 and simplify it to 3√5.
What is the order of the matrix
Answer:
Order of a matrix is determined by the number of rows and columns the matrix consists. For example if a matrix is 2 X 5 matrix where 2 is the number of rows and 5 is the number of columns then the order of the matrix is 2 X 5.
I NEED HELPPP!!! PLEASE
Answer:
Step-by-step explanation:
Surface area of a cylinder is:
A = 2πr² + 2πrh
Here, r = 2 cm and h = 6 cm:
A = 2 (3.14) (2 cm)² + 2 (3.14) (2 cm) (6 cm)
A = 100.48 cm²
How many square feet of outdoor carpet will we need for this hole?
6+6+2 = 14
6 + 6 + 4 + 2 = 18
18+14 = 32
The answer is 32.
Hope this helps!
Answer:36 ft squared
Step-by-step explanation:
24 ft squared plus 12 ft squared equals 36 ft squared
Myles mows lawns during the summer to earn money. Since he is trying to save money for a car, he tries not to spend very much of it. In fact, his goal is to save $5 for every $7 he makes.
If Myles made $128 this week, how much can he spend?
$36
128/7 is about 18
18x2= 36
Answer:
36.57
Step-by-step explanation:
A marching band bought 25 pairs of gloves and 15 pairs of shoes for a total cost of $374.25. Later they bought 14 pairs of gloves and 4 pairs of shoes for a total cost of $117.49. What is the price for one pair of shoes?
20.00 for each pair of shoes
Cost of one pair of shoes is $4.0625 (Approx.)
Given that;Cost of 25 pair gloves and 15 pair shoes = $374.25
Cost of 14 pair gloves and 4 pair shoes = $117.49
Find:Cost of one pair of shoes
Computation:Assume;
Cost of one pair of gloves = a
Cost of one pair of shoes = b
So,
25a + 15b = 374.25 ......... eq1
14a + 4b = 117.49 ......... eq2
eq2 × 3.75
52.5b + 15b = 440.5875 ........ eq3
Eq3 - eq1
a = 2.41
So,
14a + 4b = 117.49
b = $4.0625
Cost of one pair of shoes = $4.0625 (Approx.)
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Katya is baking cookies that require 8 1/2 grams of vanilla paste per batch. She has 22 1/5 grams of vanilla paste. How many batches of cookies can she bake?
Answer:
2 batches
Step-by-step explanation:
8.5×2=17
8.5 cant go into 22.2 anymore or else it'd be over 22.2
so you can only make 2 batches
Write the most precise name for the space figure with the given properties
A lateral surface and two circular bade
A. Prism
B.cylinder
C.sphere
D.cone
I think the answer is B. Cylinder
A lateral surface and two circulars bade is a cylinder.
We have given that,
A. Prism
B.cylinder
C.sphere
D.cone
We have to determine the
A lateral surface and two circulars bade,
What is the cylinder?
A cylinder has traditionally been a three-dimensional solid, one of the most basic curvilinear geometric shapes. Geometrically, it can be considered as a prism with a circle as its base.
The most precise name for the space figure with the given properties
A lateral surface and two circulars bade is a cylinder.
To learn more about the lateral surface visit:
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Match the activities to the type of income they generate. dividends, rent, interest, intellectual property sales, capital gains, multilevel marketing sales
Answer:
Portfolio Income: Dividends, Interest, Capitail Gains.
Passive Income: Intellectual Property Sales, Rent, Multilevel Marketing Sales
Hope this Helps! :)
Answer:
Portfolio: dividends, capital gains, interest
Passive: rent, multilevel marketing income, intellectual property sales
Step-by-step explanation:
Portfolio income is the income received through dividends, interest, or capital gains:
Dividends are distributed profits that a company pays to its shareholders.
Interest is the income generated by investing money in savings accounts or bonds.
Capital gains are profits earned by selling assets, such as stock or real estate. You earn capital gains after selling assets for higher prices than you paid to acquire them.
Here are the different types of passive income:
Rental income is income earned via renting apartments, houses, office buildings, or other properties owned.
Business income refers to income earned from a limited ownership stake in a business.
Creating or selling intellectual property involves income earned from an invention, sales of a book you wrote, profits from a movie, and so on.
Multilevel marketing income is income earned by increasing the company’s sales as well as recruiting other salespeople.
A bag contains 5 white marbles and 5 black marbles what is the probability of drawing a white marble not replacing it and then drawing a black marble
Answer:
5/10 or 1/2 because there is 10 marbles in total so denominator is 10 and we are pulling white marbles and there is 5 (so what ever the variable is for this case it is the white marbles that would be the numerator so 5/10)
Hope this Helps :D
Answer: white marble: you have a 5/10% chance
Black marble: you have a 5/9% chance
Step-by-step explanation:
for the white marble you have 5 out 10 because there are half and half then you have to add them all up for the total and not placing it back in the bag there are only 9 left with still 5 black ones so you have a 5 out 9 chance to get a black one
What is the equation of the line that passes through the points (1,-1) and (3,3)
Answer:
y=2x-3
Step-by-step explanation:
y=mx+b
-1=1m+b
3=3m+b
subtract those two ^
-4=-2m
2=m
-1=1m+b
-1=1(2)=b
-1=2+b
-3=b
y=2x-3
Determine whether the following regular polygon tessellates the plane. Explain.-square
Answer:
option A) yes, measure of interior angle is 90
Step-by-step explanation:
Tessellation:
the tiling of an flat surface or plane by one or more geometric surfaces is tessellation. No overlapping or gap or un-evenness is left during tessellation, all the shapes fit perfect to the plane or flat surface. There are three geometric shapes that can be used for tessellation.
These shapes are:
Square
Triangle
Hexagon
As in given problem the polygon given is square
So YES the tessellation of plan is possible and the as the interior angle of square is 90 degrees so
option A is correct complete answer i.e. yes, measure of interior angle is 90 !
what is the value of x?
Answer:
135????
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex], then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{2} }{x}[/tex]
Multiply both sides by x
x × sin45° = 4[tex]\sqrt{2}[/tex] ( divide both sides by sin45° )
x = [tex]\frac{4\sqrt{2} }{\frac{\sqrt{2} }{2} }[/tex]
= 4[tex]\sqrt{2}[/tex] × [tex]\frac{2}{\sqrt{2} }[/tex] = 4 × 2 = 8
Quadrilateral ABCD is inscribed in a circle. Find the measure of angle D. Show your work.
Answer:
80°
Step-by-step explanation:
The opposite angles of an inscribed quadrilateral add up to 180.
(2x + 13) + (3x + 37) = 180
(2x + 3y) + (5y) = 180
Solving the first equation:
5x + 50 = 180
5x = 130
x = 26
Solving the second equation:
2x + 8y = 180
2(26) + 8y = 180
52 + 8y = 180
8y = 128
y = 16
5y = 80. So ∠D = 80°.
The floor of Paul's and Matthew's rectangular bedroom is 132 square feet. The bedroom is 11 feet wide. HOw long is the bedroom?
It’d be 12 because you have to divide 132 by 11
Answer: 12 feet.
Step-by-step explanation:
The formula used to calculated the area of a rectangle is:
[tex]A=l*w[/tex]
Where "l" is the lenght and "w" is the width.
You need to find the lenght of the bedroom, then you must solve for the lenght "l":
[tex]l=\frac{A}{w}[/tex]
You know that the floor of Paul's and Matthew's rectangular bedroom has an area of 132 square feet and its width is 11 feet. Then, you can substitute these values into [tex]l=\frac{A}{w}[/tex] to calculated the lenght. Therefore, the result is:
[tex]l=\frac{132ft^2}{11ft}[/tex]
[tex]l=12ft[/tex]
Plz HURRY!!!!!
(2x - 3) and (x + 5) are the factors of a quadratic equation. Write the equation.
A) y = 2x2 + 2x - 15
B) y = 2x2 + 7x - 15
C) y = 2x2 + 7x +15
D) y = x2 + 7x - 15
Answer:
The answer would be B, 2x2+7x-15.
Step-by-step explanation:
Use the distributive property!!
(2x-3)(x+5)
distribute the 2x to the x and 5.
You get 2x2+10x
distribute the -3 to the x and 5.
You get -3x-15
combine like terms:
2x2+10x-3x-15
You get the answer 2x2+7x-15
hope this helps :)