The number of additional gigabytes would the two companies charge the same amount is 6
What represents the gigabytes beyond 3 gigabytes?
The number of gigabytes beyond 3 can be represented as X-3,in other words, X is the total gigabytes
Company A:
TC=20.40+(X-3)*9.80
TC=20.40+9.80X-29.40
Company B:
TC=18.60+(X-3)*10.10
TC=18.60+10.10X-30.30
At the point where additional gigabytes are the same, the companies charge the same amount
20.40+9.80X-29.40=18.60+10.10X-30.30
20.40-29.40-18.60+30.30=10.10x-9.80x
2.70=0.30X
X=2.70/0.30
X=9(total gigabytes)
additional gigabytes=X-3
additional gigabytes=9-3
additional gigabytes=6
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Write the integer that represents the situation. Max spent $44 and now has no money left. He had ___ before his purchase.
Answer:
The answer is Before Max had $53
Step-by-step explanation:
assume i gave you one piece of candy and now i have none left. how many did i have before i gave you that one piece?
points! points!! points!!!
Answer:
Step-by-step explanation:
Camila volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 344 people went to The Youth Wing, 471 people went to Social Issues, and 310 went to Fiction and Literature.
On Sunday, the library had 300 total visitors. Based on what Camila had recorded on Saturday, about how many people should be expected to go to Fiction and Literature? Round your answer to the nearest whole number.
18 meters= how many centimeters
Answer:
1800
Step-by-step explanation:
can i have brainliets, please? hee hee
18m
to convert into cm;
=18x100
=1800cm
Determine which if any of the triangles are similar. If they are then give the scale Factor
EXPLANATION
The triangles that are similar are the first and the third one. {△ABC and △RST}
The scale factor can be obtained by dividind two corresponding sides, as for instance, the hypotenuses, 12/6= 2
The scale factor is 2
WILL GIVE EXTRA POINTS
Assignment name: Segment Addition
please help............
Answer:
2x+14
Step-by-step explanation:
(3/4)x-7.3+(5/4)x+21.3
(3/4+5/4)x+21.3-7.3
2x+14
What is 8 and 1/3 as a fraction
Answer:
25/3
Step-by-step explanation:
8 1/3 as improper fraction ->
multiply 8 to denominator then add numerator
8 * 3 + 1 = 25/3
Lauren bought 12 stamps for postcards. She gave Brianna 1/6 of them. How many stamps did Lauren keep for herself.
Answer: 10
Step-by-step explanation:
Because Lauren gave 1/6 of the stamps to Brianna, we divide 12 by 6 to get 1/6 of 12.
12/6=2
The question asks how many stamps Lauren kept for herself, so subtract 2 from 12.
12-2=10
Lauren kept 10 stamps for herself.
A doctor has assigned the following chances to a medical procedure.
full recovery
55%
condition improves 24%
no change 17%
condition worsens
4%
Suppose the procedure is performed on 5 patients. Assume that the procedure is independent for each patient.
What is the probability that all five patients will recover completely?
a. 5%
C. 10%
b. 55%
d. 15%
Answer:
5%
Step-by-step explanation:
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
First:
A. (First Option)
Second:
C. (Third option)
(Brainiest and thanks are appreciated)
Answer:
Question 3:
O (7 x 50) - (7 x 2) = 350 – 14 = 336
Question 3:
O (9 x 80) + (9 x 1) 729
Step-by-step explanation:
Distributive Property is used in algebraic expressions, to divide the equation, to make it easier to solve. For question 1, since it was 20, you must subtract 8 from that answer, because 20 is 1 more than 19. For question 2, (2 x 9) + (2 x 3) would be the same thing as 2(9+3).
-kiniwih426
el cociente de dos números es 20
Tammy sold a diamond ring for $10,000. She placed half of the money into a cd with a 3. 9% interest rate compounded daily. She placed the other half into a cd with the same interest rate but compounded monthly. What is the difference in the interest earned on each amount after 4 years?.
The difference in the interest earned on each amount after 4 years is $1.43. Then, option a is the correct option.
Compound interest is when one receives interest on both interest income and savings.
Consider that you have $1,000 in a savings account earning 5% interest annually. If you earned $50 in the first year, your new balance would be $1,050.
This compound interest can be calculated by,
\(A=P\left(1+\frac{r}{n}\right)^{nt}\)
Where,
A is the final amount.P is the initial amount.r is the rate of interest.n is the number of times interest is applied.t is the time period.For the first half, P is $5,000, r is 3.9%, n is 365 (daily), and t is 4 years.
Then, compound interest for this case is,
\(\begin{aligned}A&=\$5000\left(1+\frac{0.039}{365}\right)^{4\times365}\\&=\$5,844.09\end{aligned}\)
For the second half, P is $5,000, r is 3.9%, n is 12 (monthly), and t is 4 years.
Then, compound interest for this case is,
\(\begin{aligned}A&=\$5000\left(1+\frac{0.039}{12}\right)^{4\times12}\\&=\$5,842.65\end{aligned}\)
Then, the difference is $5,844.09 - $5,842.65 = $1.43.
The complete question is -
Tammy sold a diamond ring for $10,000. She placed half of the money into a cd with a 3. 9% interest rate compounded daily. She placed the other half into a cd with the same interest rate but compounded monthly. What is the difference in the interest earned on each amount after 4 years?
a. $1.43 b. $2.85 c. $125.31 d. $128.16
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an insurance company wants to conduct a customer satisfaction survey. because the company suspects the type of coverage might influence customers' opinions, it divides the list of customers based on what type of insurance they have (auto, homeowner, rental, life, disability, or a combination of these). if five customers are randomly selected from each group, what sampling method would this represent
If five customers are randomly selected from each group, a sampling method which this would represent is: C) Stratified.
What are the types of sampling?In Mathematics and Statistics, there are different types of sampling methods that are used by researchers and these include the following;
Convenience sampling.Cluster sampling.Random sampling.Systematic sampling.Stratified sampling.What is a stratified sampling?In Mathematics, stratified sampling can be defined as a type of sampling method in which the population is divided into distinct classes and a sample is randomly selected from each class for survey.
In this context, we can logically deduce that stratified sampling was used by this insurance company.
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Complete Question:
An insurance company wants to conduct a customer satisfaction survey. Because the company suspects the type of coverage might influence customers' opinions, it divides the list of customers based on what type of insurance they have (auto, homeowner, rental, life, disability, or a combination of these). If five customers are randomly selected from each group, what sampling method would this represent?
A) Simple Random Sample (SRS)
B) Systematic
C) Stratified
D) Cluster
There are 9 gallons of paint for the students to use to paint the fence outside of the schoolyard. Each student has a bucket that holds 1/3 gallon. How many buckets does the 9 gallons of paint fill?
Answer:
27 buckets.
Step-by-step explanation:
If we multiply the 9 gallons of paint by the denominator of the number of gallons that fit into one of the buckets we can discover the answer to the question.
Brainliest please.
Luiza's savings account had $50
in its first year. Each year since then, her account accumulated interest
amounting to 15% of the balance in the previous year.
Let g(n) be Luiza's account balance at the nth
year of the saving.
g is a sequence. What kind of sequence is it?
Answer:
50(1.15)^n-1
Step-by-step explanation:
1. Let's consider the first three terms of g(n) to get a sense of how the function values change as n increases.
2. The first term is Luiza's account balance at the first year of the saving, which is the initial amount she deposited. We know this to be $50.
The second term is Luiza's account balance at the second year. Since the account accumulated 15% each year, it was 1.15 times the balance in the first year, which is $50*1.15=$57.50.
The third term is Luiza's account balance at the third year. Again, this is 1.15 times the balance of the year before that, which is $57.50*1.15=$66.125.
To summarize:
g(1)=50 g(2)=50*1.15 g(3)=50*1.15*1.15
We can see that each term is 1.15 times its preceding term. There is a constant ratio between consecutive terms. Therefore, this is a geometric sequence.
3. We can write an explicit formula for this geometric sequence using the form A*B^n-1. In this form, A, is the first term and B is the common ratio. What are the appropriate values for our case?
The first term is Luiza's initial deposit, which is $50.
The common ratio corresponds to the percentage of accumulated interest. Since that percentage is 15%, the common ratio is 1.15.
4. In conclusion, g is a geometric sequence.
An explicit formula for the sequence is g(n)=50*1.15^n-1
Note that this solution strategy results in this formula; however, an equally correct solution can be written in other equivalent forms as well.
Express the confidence interval 0.039
A. 0.259+0.22The confidence interval is 0.039. This means that the value lies between the range of -0.039 and 0.039. Therefore, we can express the confidence interval as the mean plus or minus the margin of error.
This will give us a range in which the true population mean lies.Let's assume that the mean is 0.259. Then the lower limit of the range is given by:Lower limit = 0.259 - 0.039 = 0.22 And the upper limit of the range is given by:Upper limit = 0.259 + 0.039 = 0.298Therefore, the confidence interval is: 0.22 to 0.298Now we can see that option A is the correct answer: 0.259+0.22.
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· Video Club A charges $10 for membership and 54 per
movie rental. Video Club B charges $15 for membership
and $3 per movie rental. For how many movie rentals will
the cost be the same at both video clubs? What does that
cost? Write a system and solve it by graphing.
I’ll give brainliest!! Can someone please help me with this I forgot :((
Answer:
1) 420mm
2) 837grams
3) 0.89litres
4) 0.072
5) 0.00267
Step-by-step explanation:
1) divide by 10
2) multiply by 1000
3) divide by 1000
4) divide by 1000
5) divide by 10,000
Explain why: x2 + 4 >= 4x for all real x.
Answer:
x² + 4 > 4x
x² - 4x + 4 > 0
(x - 2)² > 0 (true for all real x)
Put the following equation of a line into slope-intercept form. 12x-4y=12 Must be FULLY SIMPLIFIED.
The slope intercept form has the next form
\(y=mx+b\)We have
\(12x-4y=12\)we need to isolate the y
\(-4y=-12x+12\)\(y=\frac{-12}{-4}x+\frac{12}{4}\)\(y=3x-3\)ANSWER
y=3x-3
At Splatball Indoor Paintball, it costs $34.95 per person to play, and extra paintballs are available to buy. A group of n friends paid their admission, and also spent $94.95 on 2000 extra paintballs. They spent a total of $374.55. Write and solve an equation to determine n, the number of people in the group.
Answer:
$374.55 - $94.95 = $279.60 = N
$34.95 x 8 = $279.60
N=8
Step-by-step explanation:
Given a series discount of 25/25 what is the net cost equivalent?
We need to find the net cost equivalent after two consecutive discounts of 25%.
After the first discount, the percentage of the list price the client should pay is given by:
\(100\%-25\%=75\%\)After the second discount, the percentage of the list price the client should pay is:
\(\begin{gathered} 75\%\cdot(100\%-25\%) \\ \\ =75\%\cdot75\% \\ \\ =\frac{75}{100}\cdot\frac{75}{100} \\ \\ =\frac{5625}{100}\cdot\frac{1}{100} \\ \\ =56.25\% \end{gathered}\)Therefore, the net cost equivalent is 56.25%.
Corrine drives d miles to her office at an average
speed of 50 miles per hour. Returning home, she
travels by the same route and averages 60 miles
per hour. If her trip home is 10 minutes shorter
than her trip to her office, what is the value of d?
The value of distance d is 240 miles.
How to find the calculation?The length of the shortest path connecting any two places in physical space is known as their distance.
Classical physics, particularly Newtonian mechanics, uses the term "distance" to refer to this.
Euclidean distance is calculated in coordinate geometry by applying the Pythagorean theorem.
This first section is
Distance = Speed * Time
Distance: (in metres (m), kilometres (km), miles, and feet
Distance: 50 multiplied by 4 equals 200 miles (50 mph; 4 hours).
In the following segment
Distance is 20 miles multiplied by two to get 40 miles (at a speed of 20 mph) in two hours.
240 miles are hence the total distance.
Assuming a six-hour trip, the average speed is 240 divided by six, or 40 miles per hour.
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Find the coordinates of point b on ac such that the ratio of AB to BC is 2:1
A(2,-8)
C(-4,7)
Please help!!
Answer:
(-2, 3)
Step-by-step explanation:
the point B is
B(x,y)
x
AB (A to B) is twice BC ( B to C )
AB is 2 - x. BC is x - (-4)= x + 4
So
2-x=2 (x + 4)
2-x=2x + 8
3x = -6
x = -2
y
(Same logic as above)
AB is -5 -y. BC is u - 7
-5 -y = 2(y - 7)
-5 - y = 2y - 14
3y = 9
y= 3
the point is (-2, 3)
The ages of three brothers are consecutive integers. The sum of their ages is 63. Find their ages.
Which expression represents “7 more than x” 7+x x-7
x÷7 7x
Answer:
7+x
Step-by-step explanation:
this could also be written as “x + 7” and it means 7 more than (+) x
Answer:
It is 7+x (✿◠‿◠)
y = (x + 2)^2 + 6 1) Identify the vertex 2) Identify the y-intercept. 3) Graph the function
y = (x + 2)^2 + 6
Vertex
Parabola equation: y = a(x - h)² + k ==> Vertex is (h, k)
In this case h = -2 and k = 6 ==> Vertex(-2, 6)
Vertex(-2, 6)
y-intercept
y-intercept is the value of y when x = 0,
in this case, when x = 0, y = 10, therefore
y-intercept: y = 10
Graph
If a least-squares regression line fits the data well, what characteristics should the residual plot exhibit? Sketch a well-labeled example
x' is the mean of all the x-values, y' is the mean of all the y-values, and n is the number of pairs in the data set.
\(y=b_1x+b_0\)
There is always one straight line that fits the data more accurately than any other, in the sense of minimizing the total of the squared errors, given any set of integers in pairs (apart from the case when all the x-values are the same). The least squares regression line is what it is known as. Additionally, its slope and y-intercept have formulae.
Given a collection of pairs (x,y) of numbers, there is a line \(y=b_1x+b_0\) that best fits the data in the sense of the least squares regression line, its slope is b1 and the y-intercept is b0.
\(b_1=\frac{SS_{xy}}{SS{_xx}}}\\\\and\\\\b_0=y-b_1x\\\\SS_{xx}=\sumx^2-1/n[\sum x]^2\\\\SS_{xy}=\sum{xy}-1/n(\sum x)(\sum y)\)
x' is the mean of all the x-values, y' is the mean of all the y-values, and n is the number of pairs in the data set.
\(y=b_1x+b_0\)
specifying the least squares regression line is called the least squares regression equation.
Example,
Find the least squares regression line for the five-point data set
x = 2 2 6 8 10
y= 0 1 2 3 3.
compute the table,
x y x2 xy
2 0 4 0
2 1 4 2
6 2 36 12
8 3 64 24
10 3 100 30
28 9 208 68 (sum)
\(S_{xx}=208-(1/5)(28)^2=51.2\\\\SS_{xy}=68-(1/5)(28)(9)=17.6\\\\x'=\frac{28}{5}=5.6\\\\y'=1.8\\\\b_1=17.6/51.2=0.34375\\\\b_0=y-b_1(x)=1.8-(0.34375)(5.6)= -0.125\)
The regression line is y=0.34375x-0.125
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6cos^2 theta-cos theta-1=0
solve for theta in degrees
\(6\cos^2(\theta )-\cos(\theta )-1=0\hspace{5em}\stackrel{\textit{let's just for a second make}}{\cos(\theta )=Z} \\\\\\ 6Z^2-Z-1\implies (3Z+1)(2Z-1)=0\implies [3\cos(\theta )+1][2\cos(\theta )-1]=0 \\\\[-0.35em] ~\dotfill\)
\(3\cos(\theta )+1=0\implies 3\cos(\theta )=-1\implies \cos(\theta )=-\cfrac{1}{3} \\\\\\ \theta =\cos^{-1}\left(-\cfrac{1}{3} \right)\implies \theta \approx \begin{cases} 109.47^o\\ 250.53^o \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 2\cos(\theta )-1=0\implies 2\cos(\theta )=1\implies \cos(\theta )=\cfrac{1}{2} \\\\\\ \theta =\cos\left( \cfrac{1}{2} \right)\implies \theta = \begin{cases} 60^o\\ 300^o \end{cases}\)
Make sure your calculator is in Degree mode.
anyone able to help out ?
Answer:
The value of x is 1
Step-by-step explanation:
Let us solve the question
∵ Δ PQR ≈ Δ FGH
→ From similarity, then their corresponding sides have an equal ratio
∴ \(\frac{PQ}{FG}\) = \(\frac{QR}{GH}\) = \(\frac{PR}{FH}\)
∵ PQ = 3, QR = x + 3, PR = 2
∵ FG = 6, GH = 6x + 2, FH = 4
→ Substitute them in the ratios above
∴ \(\frac{3}{6}\) = \(\frac{x+3}{6x+2}\) = \(\frac{2}{4}\)
→ By using cross multiplication between the first two ratios
∵ 3 × (6x + 2) = 6 × (x + 3)
∴ 3(6x + 2) = 6(x + 3)
∴ 3(6x) + 3(2) = 6(x) + 6(3)
∴ 18x + 6 = 6x + 18
→ Subtract 6x from both sides
∵ 18x - 6x + 6 = 6x - 6x + 18
∴ 12x + 6 = 18
→ Subtract 6 from both sides
∵ 12x + 6 - 6 = 18 - 6
∴ 12x = 12
→ Divide both sides by 12
∴ x = 1