The two plans charge the same amount in 11 months.
The plan I would recommend if the plans are contracted for two months is the Fidoll plan.
When will the two plans charge the same amount?
The equation that represents the amount that would be paid by Kayla if she buys the phone from Rongers is : $127x
Where x represents the number of months
The equation that represents the amount that would be paid by Kayla if she buys the phone from Fidoll is : $363 + $94x
Where x represents the number of months
The two above equations would be equal when the plan charge the same amount: $363 + $94x = $127x
Combine similar terms
$363 = $127x - $94x
Add similar terms
$363 = $33x
Divide both sides by 33
x = 11 months
Which plan would be recommended if the plan is for 2 years?
Rongers: $127(24) = $3,048
Fidoll = $363 + $94(24) = $2619
I would recommend the Fidoll plan
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I really need this, someone help
6+6+8+14=34 all you need to do is add them I think
0.07 x what equals 441 ???
Step-by-step explanation:
[tex]0.07 \times x = 441[/tex]
[tex]x = \frac{441}{0.07} [/tex]
[tex]x = 6300[/tex]
Chase was on his school’s track team and ran the 2400m race. He has been working on his pace and can run 1600m in 5.5 minutes. If he keeps this pace through the entire race, how long will it take him to finish the 2400m race?
Answer:
8.25 min
Step-by-step explanation:
1600 m / 5.5 min = pace
2400 / (1600 / 5.5 ) = 8.25 min
Rylee read 36 pages of a book before putting
it down for a month. She wants to resume
reading the book that is more than 480 pages
long. She plans on finishing the book in
12 days, reading the same amount each day.
5. Which inequality can be used to determine,
p, the number of pages that Rylee must read
P
each day to attain her goal?
A. 12p - 36 < 480
B. 12p + 36 < 480
C. 12p - 36 > 480
D. 12p + 36 > 480
-
Answer:
D. 12p + 36 > 480
Step-by-step explanation:
The number of pages read is the sum of the number already read (36) and the product of the number read each day (p) and the number of days (12). Rylee wants this number of pages read to be more than 480.
__
The inequality expressing a sum greater than 480 is ...
12p +36 > 480 . . . . choice D
You estimate that a passive portfolio, that is, one invested in a risky portfolio that mimics the S&P500 stock index that represents the stock market, yields an expected rate of return of 13% with a standard deviation of 25%. You manage an active portfolio with expected return 18% and standard deviation 28%. The risk-free rate is 8%.
a. Draw the CML (Capital Market Line) and your funds’ CAL (Capital Allocation Line) on an expected return-standard deviation diagram. Indicate their slopes.
b. Suppose your client ponders whether to switch the 70% that is invested in your fund to the passive portfolio. Explain to your client the disadvantage of the switch.
c.In the context of part b, Show him the maximum fee you could charge (as a percentage of the investment in your fund, deducted at the end of the year) that would leave him at least as well of investing in your fund as in the passive one.)
(Hint: The fee will lower the slope of his CAL by reducing the expected return net of the fee.)
The capital market line with fee will be 0.3771 and the capital allocation line will be 0.24.
How to calculate the slope?The slope of the capital market line will be:
= (17% - 7% - f)/27
= (10% - f)/27
f = 0.3771
The slope of the capital allocation line will be:
= (13% - 7%) / 25%
= 0.24
The reward to variability ratio will be:
= (17 -7)/27
= 0.3771
The client's reward to variability ratio will be:
= (13 - 7)/25
= 0.25
This shows that the client will be disadvantaged of the switch since it's lower.
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Which of these figures has a line of symmetry drawn correctly?
Shape A and Shape B
Shape B and Shape D
Shape A
Shape C
Help plsss its an emergency
Answer:
-8.05E14
Step-by-step explanation:
If you arent familiar with E notation it means the same thing as [tex]10^x[/tex] where x is the number proceeding the E
Find the missing side length of the right triangle below 6 inches 12 inches
What is the measure of each angle of a regular 17-gon? If necessary, round to the nearest tenth.
For a regular 17-gon, the measure of the internal angles is:
a = 158.8°
How to measure the internal angles?
The measure of the sum of the internal angles of a regular figure of N sides is:
(N - 2)*180°
For the case where N = 17, we have:
(17 - 2)*180° = 2,700°
That is the measure of the sum of the internal angles, and we have 17 of them, so the measure of each angle is:
2,700°/17 = 158.8°
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I will mark brainly, please help me solve this question.
If the rate of inflation per annum is 15% per annum, how long will iti take for the price of an item to double?
Answer:
it will take approximately 6.67 annum(years) to double the price of an item that is inflated by 15% each annum(year)
Help picture below 6 problems will give brainlest
Step-by-step explanation:
13. 15² = 12² + ?²
225 - 144 = ?²
? = √81
? = 9 feet
16. D. Regular Hexagon
45th term of an arithmetic sequence having a=3 and d=8 is:
Answer:
a45 = 320
Step-by-step explanation:
The 45th term of the Arithmetic Sequence will be 355.
We have a Arithmetic Sequence with a = 3 and d = 8.
We have to determine the 45th term of this sequence.
What is the formula to calculate the nth term of an Arithmetic Sequence ?The formula to calculate the nth term of an Arithmetic Sequence is -
a(n) = a + (n - 1)d
a - first term of A.P.
d - Common difference of A.P.
n - position of term
According to the question -
a = 3
d = 8
n = 45
Then, using the formula to calculate the nth term, we get -
a(n) = a + (n - 1)d
a(45) = 3 + (45 - 1)8
a(45) = 3 + 44 x 8
a(45) = 3 + 352
a(45) = 355
Hence, the 45th term of the Arithmetic Sequence will be 355.
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The management of a restaurant has been studying whether or not new customers return within a month. The collected data reveal that 60% of the new customers have returned. If 90 new customers dine at the restaurant this month, what is the probability that at least 60 will return next month? Use Normal approximation to Binomial distribution.
Using the normal approximation to the binomial, it is found that there is a 0.119 = 11.9% probability that at least 60 will return next month.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem, we have that:
60% of the new customers have returned, hence p = 0.6.90 new customers dine at the restaurant this month, hence n = 90.Thus, the mean and the standard error for the approximation are given as follows:
[tex]\mu = np = 90(0.6) = 54[/tex][tex]\sigma = \sqrt{np(1-p)} = \sqrt{90(0.6)(0.4)} = 4.6476[/tex]Using continuity correction, the probability that at least 60 will return next month is P(X > 60 - 0.5) = P(X > 59.5), which is 1 subtracted by the p-value of Z when X = 59.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{59.5 - 54}{4.6476}[/tex]
Z = 1.18
Z = 1.18 has a p-value of 0.881.
1 - 0.881 = 0.119.
0.119 = 11.9% probability that at least 60 will return next month.
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A calendar use seven boxes of nails to build 10 bird houses he used blank of a box on each birdhouse
Find the unknown sizes of angles the given figure .
Answer:
a=96
b=42
c=138
Step-by-step explanation:
as lines BA and BC are equal, angles BAC and BCA are also equal, so b = 42. Now a can be found by 180 - 42 - 42 as sum of angles in a triangle is 180. The line AC is a straight line, so b + c = 180 , so c = 180 - 42 = 138
How do I find the mean of these numbers?
Answer:
how to find the mean: add all your values together then divide them by how many numbers u added
example:
5,7,9,9,10
add= 40
divide by 5, we have 5 values = 8
a survey of lobster fishermen found that they catch an average of 32 pounds of lobster per day with a standard deviation of 4 pounds. if a random sample of 36 lobster fishermen is selected, what is the possibility that their average catch is less than 31.5 pounds? assume the distribution of weights of lobster is normal
There is a probability of 22.66% that their average catch is less than 31.5 pounds
What is z score?The z score is used to determine by how many standard deviations the raw score is above or belaw the mean. It is given by:
z = (raw score - mean)/ (standard deviation ÷ √sample)
Given that, mean = 32, std = 4, sample = 36, hence:
For 31.5:
z = (31.5 - 32) / (4 ÷√36) = -0.75
P(z < -0.75) = 0.2266
There is a probability of 22.66% that their average catch is less than 31.5 pounds
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If 20 articles cost 90, then the cost of 9 articles is ?
Answer:
the cost of 9 articles is 40.5
What's the area of the composite figure?
Answer:
[tex]\huge\boxed{\bf\: 83 \: yd^{2}}[/tex]
Step-by-step explanation:
Consider rectangle ABCD.
Here,
AB = DC = 9 yd (length = l)
AD = BC = 7 yd (width = w)
Area of this rectangle:
= l * b
= 9 * 7
= 63 yd²
[tex]\rule{150pt}{2pt}[/tex]
Now, take rectangle DEGF.
Here,
DE = FG = 5 yd (length = l)
DF = EG = 4 yd (width = w)
Area of this rectangle:
= l * b
= 5 * 4
= 20 yd²
[tex]\rule{150pt}{2pt}[/tex]
Total area of the compisite figure:
= Area of rectangle ABCD + Area of rectangle DEGF
= 63 yd² + 20 yd²
= 83 yd²
[tex]\rule{150pt}{2pt}[/tex]
Refer to the attachment for the labelling of the figure.if x-y = -10 and x-y = 2 what is the value of x
Answer:
x = -4
Step-by-step explanation:
x+y = -10 or y = -10 - x
substitute this into the second equation
x - y = 2
x - (-10-x) = 2
2x + 10 = 2
2x = -8
x = - 4
Can someone help me with this problem?
[tex]~~~~~\dfrac 13 \ln\left(x^6 \right) +\dfrac 12 \ln\left(x^2\right) = \ln x^a\\\\\implies \ln \left(x^6 \right)^{\tfrac 13} + \ln \left(x^2 \right)^{\tfrac 12} = \ln x^a\\ \\\implies \ln x^2 + \ln x = \ln x^a\\\\\implies \ln(x^2 \cdot x) = \ln x^a \\\\\implies \ln x^3 = \ln x^a\\ \\\implies 3 \ln x = a \ln x\\\\\implies a =3[/tex]
Solving an exponential equation by using logarithms: Exact answers in logarithmic form
[tex]14^{-x+10}~~ = ~~13^{3x} \\\\[-0.35em] ~\dotfill\\\\ \log(14^{10-x})=\log(13^{3x})\implies (10-x)\log(14)=x\log(13^3) \\\\\\ 10-x=\cfrac{x\log(13^3)}{\log(14)}\implies \cfrac{10-x}{x}=\cfrac{\log(13^3)}{\log(14)}\implies \cfrac{10}{x}-\cfrac{x}{x}=\cfrac{\log(13^3)}{\log(14)}[/tex]
[tex]\cfrac{10}{x}-1=\cfrac{\log(13^3)}{\log(14)}\implies \cfrac{10}{x}=\cfrac{\log(13^3)}{\log(14)}+1\implies \cfrac{10}{~~\frac{\log(13^3)}{\log(14)}+1~~}=x \\\\\\ \cfrac{10}{~~\frac{\log(13^3)+\log(14)}{\log(14)}~~}=x\implies \cfrac{10\log(14)}{\log(13^3)+\log(14)}=x[/tex]
An urn contains n balls, one of which one is special. If k of these balls are withdrawn one at a time, with each selection being equally likely to be any of the balls that remain at the time, what is the probability that the special ball is chosen
Using it's concept, it is found that the probability that the special ball is chosen is given by:
[tex]p = \frac{1}{C_{n,k}}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The total number of outcomes is given by the combination of k balls from the set of n balls, given by:
[tex]C_{n,k} = \frac{n!}{k!(n - k)!}[/tex]
One ball is special, hence the probability the special ball is chosen is given by:
[tex]p = \frac{1}{C_{n,k}}[/tex]
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On Monday, Jullo ran 39 miles. On Tuesday, he ran another
24 miles and on Wednesday he ran 4 miles. How many
miles did Julio run in all?
67 miles
Step-by-step explanation:On Monday, Jullo ran 39 miles.
⇒ Monday = 39 milesOn Tuesday, he ran 24 miles.
⇒ Tuesday = 24 milesOn Wednesday, he ran 4 miles.
⇒ Wednesday = 4 milesFinding the total miles:
Total miles ran on Monday, Tuesday, and Wednesday = 39 + 24 + 4
= 67 miles
3.2 In the diagram below, ABCD is a parallelogram with Đ=9x-30° and B = 4x+20° 9.-30 B a 420 - 3.2.1 Calculate with reasons the value of x.
Answer:
D=9×30 and B=4x+20°=9.-30 B a 420
*50 POINTS* pls help very urgent! Look at the pic then answer question.
Step-by-step explanation:
1. feet/min
2. square feet/min
3. cubic feet/min
4. square feet/min
A)
rate of walking = distance/timeHence rate of walking should be measured in feet/minute
B)
rate of painting a wall can be determined by measuring its areaHence rate of painting should be in sqaure feet per minute
C)
rate of filling a bucket should be measured by finding its volumeHence rate of paining is measured in cubic feet per minute
D)
rate of mopping the kitchen floor is same as painting a wallHence rate of mopping should be in sqaure feet per minute
solve for x ~
[tex]4x - 96 = 0[/tex]
thankyou ~
Step-by-step explanation:
4x - 96 = 0
transferring 96 to Right side4x = 96
x = 96/4
x = 24
Hope it helps you :)
A regular octagon with side length = 5.3 meters. What is the total area of the shape? Round to two
decimal places at the end of your calculation.
Answer:
97.31 [tex]m^2[/tex]
Step-by-step explanation:
The area of the octagon is:
[tex]\frac{8 * 5.3 * 2.65\sqrt{3} }{2}[/tex] ~97.31 m^2
PLEASE HELP! I WILL MARK BRAINLIEST AND MARK 5 STARS! THANK YOU!
Answer:
20 Box.
The answer is B.
Step-by-step explanation:
Given information:
Each box is 60 cm^3.
Total Volumes boxes are 1200 cm^3.
Divide Total Box/Each Box.
[tex]1200/60=20 box[/tex]
Answer:
B
Step-by-step explanation:
Total volume 1200 divided by each box of 60 = 20 boxes
Option A has 16 boxes
Option B has 20 boxes
Option C has 30 boxes
Option D has 24 boxes
Therefore, the correct answer is B
What is the solution to the help!!!!!
following equation:
2(3x - 7) + 18 = 10
-
0 1
03
3
5
6
Answer:
x = 1
Step-by-step explanation:
Given:
2(3x - 7) + 18 = 10
Solution:
Subtract 18 from both sides
2(3x - 7) + 18 = 10
- 18 -18
---------------------------
2 (3x-7) = -8
Now divide both sides by 2
2 (3x-7) -8
----------- = ------------
2 2
Simplify
3x - 7 = -4
Then add 7 to both sides
3x - 7 = -4
+ 7 +7
--------------------
3x = 3
Divide both sides by 3
3x 3
----------- = ------------
3 3
x = 1
Thus, Solution : x =1
~Lenvy~
Answer:
[tex]x = 1[/tex]
Step-by-step explanation:
Step 1Simplify both sides of the equation
[tex]2(3x - 7) + 18 = 10[/tex]
Distribute
[tex](2)(3x) + (2)( - 7) + 18 = 10 \\ 6x + - 14 + 18 = 10[/tex]
Combine like terms
[tex](6x) + ( - 14 + 18) = 10[/tex]
[tex]6x + 4 = 10[/tex]
Step 2Subtract 4 from both sides
[tex]6x + 4 - 4 = 10 - 4[/tex]
[tex]6x = 6[/tex]
Step 3Divide both sides by 6
[tex] \frac{6x}{6} = \frac{6}{6} [/tex]
[tex]x = 1[/tex]