Answer:
2.7
Step-by-step explanation:
15/1 = 40/x
Cross multiply: 40/15
Divide: 2.66
Round up: 2.7
2.7 times 15= 40.5
Answer:
2hrs. 40mins.
Step-by-step explanation:
A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $40?
x = hours she babysat
Equation:
15x = 40
Divide to isolate x:
15x = 40
/15 /15
x = 8/3 hrs.
Now, we convert into hours and minutes, since she did work for more than an hour, to earn the $15 each hour.
We know that there are 60 mins. in an hour
60 * 8/3
480/3
160 mins.
Convert into hour and mins:
1 hr. = 60 mins
160/60 = 2 40/60 ==> 2 2/3
Convert 2/3 into mins to add to the hours:
60 * 2/3
120/3 = 40
2hrs. + 40 mins.
2hrs. and 40mins
Therefore, the babysitter was there for 2hrs. 40mins.
Hope this helps!
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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The function f(t) = 3 cos(pi over 6t) + 5 represents the tide in Blastic Sea. It has a maximum of 8 feet when time (t) is 0 and a minimum of 2 feet. The sea repeats this cycle every 12 hours. After nine hours, how high is the tide? 12 feet 5 feet 4.5 feet 2.5 feet
Answer:
5 feet
Step-by-step explanation:
[tex]f(t) = 3 cos \bigg( \frac{\pi}{6} t\bigg) + 5 \\ \\ plug \: t = 9 \\ \\ \implies \: f(9) = 3 cos \bigg( \frac{\pi}{6} \times 9 \bigg) + 5 \\ \\\implies \: f(9) = 3 cos \bigg( \frac{3\pi}{2}\bigg) + 5 \\ \\\implies \: f(9) = 3 cos \bigg( \pi + \frac{\pi}{2}\bigg) + 5 \\ \\\implies \: f(9) = - 3 cos \bigg( \frac{\pi}{2}\bigg) + 5 \\ [ \because \: cos ({\pi}+\theta) = -\cos \theta]\\\\\implies \: f(9) = - 3 (0) + 5 \\ ( \because \: cos \frac{\pi}{2} = 0) \\ \\ \implies \: f(9) = 0 + 5 \\ \\ \implies \: \huge{ \orange{f(9) = 5 }}[/tex]
Matthew plays basketball for his high school. On average, he scores 33 points per game, with a standard deviation of 2 points. What percentage of basketball games will result in Matthew scoring less than 27 points?
Note: Assume that a Normal model is appropriate for the distribution of points.
Matthew will score less than 27 points in about 0.15% of his basketball games.
=======================================================
Explanation:
mu = 33 = population mean
sigma = 2 = population standard deviation
Let's find the z score when x = 27
z = (x - mu)/sigma
z = (27-33)/2
z = -6/2
z = -3
A score of 27 points is exactly three standard deviation units below the mean of 33 points.
Now refer to the Empirical Rule chart shown below. Notice that roughly 99.7% of the entire population is within 3 standard deviations of the mean. This is the span from z = -3 to z = 3.
That leaves about 100% - 99.7% = 0.3% left over for the two tails combined.
One tail has about (0.3%)/2 = 0.15% of the total area, and therefor about 0.15% of the total games will have Matthew scoring less than 27 points. This is an estimate of course.
To get a more accurate answer, you can use a Z table to find that
[tex]P(Z < -3) \approx 0.00135 \approx 0.135\%[/tex]
which isn't too far off from the 0.15%
Answer:
I believe is the correct answer
Step-by-step explanation:
a
Mike earns $15 per hour and Sara earns $34 per hour. What is the relative change in wages from Mike to Sara?
what is 90x40+50-20x45=20-15(34)-(20)+
Answer:
2750=-510
Step-by-step explanation:
hope this helps ._.
if the scale of a map is 1 in = 62.5 mi, how long is the distance on the map if the actual distance between the two cities is 218.75 miles
Answer:
3.5in
Step-by-step explanation:
so what i would do is i would divide 218.75 by 62.5
218.75/62.5= 3.5
3.5 in= 218.75 mi
hope that hepls :)
Please help me thank you so much!
Answer: the third one
Step-by-step explanation: how i know by guessing
4x+11y=7
4x+3y=-1
what are the steps
Answer:
x = -1, y = 1
Step-by-step explanation:
Given that:
[tex]\begin{bmatrix}4x+11y=7\\ 4x+3y=-1\end{bmatrix}[/tex]
Isolate x for 4x + 11y = 7 which ⇒ [tex]x=\frac{7-11y}{4}[/tex]
Substitute [tex]x=\frac{7-11y}{4}[/tex] into the equation: which is:
[tex]\begin{bmatrix}4\cdot \frac{7-11y}{4}+3y=-1\end{bmatrix}[/tex]
Drop Down to:
[tex]\begin{bmatrix}7-8y=-1\end{bmatrix}[/tex]
Isolate y for 7-8y = -1: y = 1
Thus, [tex]x=\frac{7-11y}{4}[/tex]
Substitute y = 1
Hence,
[tex]x=\frac{7-11\cdot \:1}{4}=-1[/tex]
Solution ⇒ x = -1 and y = 1
~learn with lenvy~
Answer:
x = -1 , y = 1
Step-by-step explanation:
Starting with x
x = 7 - 11y/4
4 × 7-11y/4 + 3y = -1
7 - 8y = -1
Now for y
7-8y = -1 ⇒ y = 1
Hence, x = -1 and y = 1
[RevyBreeze]
The hanger image below represents a balanced equation, write an equation to represent the image.
Find nth term of the sequence: 11, 15, 19, 23
The term
tn=a+(n−1)d
Where a= first term and d= common difference
hope it helps...!!!
In the past year, Ann watched 14 movies that she thought were very good. She watched 50 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answer:
28%
Step-by-step explanation:
Divide 14 by 50. 50 is the total and 14 is the amount she thought was good so it would be 14/50 and then divide it and you get .28 which is 28%
The function below describes the total cost, y, of a hamburger with a toppings on it.
y= 1.90 + 1.40x
What does the slope mean in terms of the context?
O The cost of the hamburger will decrease by $1.90 per topping.
O The cost of the hamburger will increase by $1.90 per topping.
O The cost of the hamburger will increase by $1.40 per topping.
O The cost of the hamburger will decrease by $1.40 per topping.
Answer:
O The cost of the hamburger will increase by $1.40 per topping.
Step-by-step explanation:
y = 1.90 + 1.40x→ $1.90 is the fixed cost of the hamburger→ $1.40 is the price per topping and it will increase as the slope of the function/graph is positive⇒ Option 3Answer:
The cost of the hamburger will increase by $1.40 per topping
Step-by-step explanation:
Given equation:
y = 1.90 + 1.40x
where
y = total cost of hamburgerx = number of toppingsThe slope-intercept form of a linear equation is y = mx + b (where m is the slope and b is the y-intercept).
Rearranging the given equation to this form: y = 1.40x + 1.90
Therefore, 1.40 is the slope and 1.90 is the y-intercept.
The slope is the rate of change. This is the amount by which y will change with respect to changes in x. The slope is positive, so as x increases, y will increase.
Therefore, the cost of the hamburger will increase by $1.40 per topping.
i need help with my homework
Answer:
B
Step-by-step explanation:
every length of a connection between 2 points is the Hypotenuse of right-angled triangle created by the x- and y-coordinate differences of the points.
and Pythagoras is the best way to cancer the length of such a Hypotenuse.
AD² = 2² + 2² = 8
AD = sqrt(8)
AB = AD
BC² = 4² + 2² = 16 + 4 = 20
BC = sqrt(20)
CD = BC
so, the perimeter is
AD + AB + BC + CD = 2×sqrt(8) + 2×sqrt(20) =
= 14.60112616... units ≈ 14.6 units
Admission to the county fair is $15, and each ride ticket costs $1.75. Write an expression to describe the total cost of 8 rides.
What is the vertex of this quadratic function? y=6(x+1)2-9 Please Help!
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ y = 6(x+1)^2-9\implies y = 6[x-(\stackrel{h}{-1})]^2\stackrel{k}{-9}\qquad \qquad \stackrel{vertex}{(-1~~,~~-9)}[/tex]
Write an equation of the line with a slope of 0 and y -intercept of 5 .
y=
Answer:
y=-5
Step-by-step explanation:
How to sketch this graph?
Answer:
get a book from shop and draw with ruler and write the numbers too
PLS HELP MARK AS BRAINLIEST
Suppose that the relation S is defined as follows.
S= {(4, p), (p, 0), (3, 3), (7, m)}
Give the domain and range of S.
Write your answers using set notation.
Answer:
Domain= {4,p,3,7}
Range= {p,0,3,m}
Step-by-step explanation:
⇒Domain: is the set of the first number in every pair.
⇒Range: is the set of the second number in every pair
TO FIND THE DOMAIN: S= {(4,p),(p,0),(3,3),(7,m)}
so Domain= {4,p,3,7}
TO FIND THE RANGE: S= {(4,p),(p,0),(3,3),(7,m)}
so Range= {p,0,3,m}
Hope this helps :)
A. 28/12
B. 12/28
C. 7/3
D. 3/7
Answer:
28/12 Samsung felo tee Samsung felo tee Samsung felo tee
Somebody please help me
Answer:
your answer will be a right
Step-by-step explanation:
exg(x), where g(0) = 6 and g'(0) = 1, find f '(0).
Question 5
Select the option that best describes the relationship
between the variables on the scatter plot.
Answer:
positive, leaner association
Step-by-step explanation:
The revenue generated by a company manufacturing lawn mowers is
R=−0.9x2+90.2x , where x represents the number of mowers produced. The cost to produce the mowers is C=29x+500 , where x is the number of mowers produced.
The profit generated in terms of x is −0.9x²+61.2x - 500
How to calculate profit functionsGiven the following parameters
Revenue generated by a company = R=−0.9x²+90.2x
The cost to produce the mowers C(x) = 29x + 500
Determine the profit function
p(x) = R(x) - C(x)
P(x) = −0.9x²+90.2x - (29x + 500)
P(x) = −0.9x²+90.2x - 29x - 500
P(x) = −0.9x²+61.2x - 500
Hence the profit generated in terms of x is −0.9x²+61.2x - 500
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Using the illustrations below, determine the relationship between the volumes of
the two given solid figures. Put a check ( / ) on the blank if the sentence states
the correct relationship
Answer:
I don't see the illustrations
A population consists of 8 items. The number of different simple random samples of size 3 that can be selected from this population is a. 128 b. 56 c. 512 d. 24
Using the combination formula, it is found that the number of different simple random samples of size 3 that can be selected from this population is:
b. 56.
The order in which the items are selected is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 3 items are chosen from a set of 8, hence:
[tex]C_{8,3} = \frac{8!}{3!5!} = 56[/tex]
Hence option b is correct.
More can be learned about the combination formula at https://brainly.com/question/25821700
7
Perez Company is considering an investment of $29,480 that provides net cash flows of $8,900 annually for four years.
(a) What is the internal rate of return of this investment? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from
the tables provided. Round your present value factor to 4 decimals.)
(b) The hurdle rate is 7%. Should the company invest in this project on the basis of internal rate of return?
Complete this question by entering your answers in the tabs below.
Book
Required A
Required B
Hint
What is the internal rate of return of this investment?
Present value factor
Internal rate of return
%
Esk
< Retired A
Required B
Print
erences
The internal rate of return of this investment is 8%.
If the hurdle rate is 7%, the investment should be invested in.
What is internal rate of return?Internal rate of return is a capital budgeting method that determines the the discount rate that equates the after-tax cash flows from an investment to the amount invested
If the internal rate of return is greater than the hurdle rate, the investment should be undertaken. If this is not the case, the investment should not be invested in.
IRR can be calculated with a financial calculator
Cash flow in year 0 = $-29,480
Cash flow each year from year 1 to 4 = 8900
IRR = 8%
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What is the equation of the trend line in the scatter plot?
Answer:
y=(x-1)
Step-by-step explanation:
You deposit $2000 in an account earning 8% interest compounded monthly. How much will you
have in the account in 15 years?
Round to the nearest penny.
$
Answer:
Answer:
\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149
Step-by-step explanation:
Standard equation of a circle: \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2
(where (a, b) is the center and r is the radius of the circle)
Substitute the given center (-14, -5) into the equation:
\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2
\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2
Now substitute the point (-7, 5) into the equation to find r²:
\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2
\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2
\sf \implies 149=r^2⟹149=r2
Final equation:
\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149
What is the value of h?
21 + h = 345
Answer:
324
Step-by-step explanation:
21 + h = 345
group like terms
h = 345 - 21
h = 324
Answer:
h=324
Step-by-step explanation:
21+h = 345
(Substituting the equation)
h=345 - 21
h= 324
!!PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!
Which of the following algebraic expression represents 2 less than 3 lots of n? (A) - (B) (C) 3(n - 2) 2 – 3n 3 + n - 2 3n - 2 (D)
Answer:
D
2 less than means 2 to be subtracted3lots of n means 3 to be multiplied with n i.e 3nHence the expression is 3n-2
