Pedro Fernández should advice his client to go with the second mutual fund named as Fund Corporation. This is because, it showed an higher average return over the five-year period at an average of 11% beating Trujix Inc by 3%.
What is the calculation that supports the above?To get the better fund, Pedro must calculate a simple average of the interest rates of the various funds over the past 5 year period.
Trujix Inc 5-Year Average
(12 + 10+ 3 +9 + 11)/5
= 45/5
=9%
Fund Corporation 5-Year Average
(13 + 12 +14 + 10+ 6)/5
= 55/5
= 11%
Hence, the better investment is the one by Fund corporation.
Full Question
Pedro Fernández is a manager at Avon Chic, Pedro was interested in the rates of return for the last five years of two different mutual funds. Trujix, Inc., showed a five-year period, rates of return of 12; 10; 3; 9 and 11%, while Fund Corporation showed 13; 12:14:10 and 6%. A client approached Pedro and expressed his interest in one of these mutual funds. Which one should Pedro choose for his client?
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Simplify
1) 9/7+1/6
2) 1 1/6- 2 1/5
3) 4/7x8/4
4) 4/7* 8/4
you answer fast and correct I will mark you as a brainliest
Answer:
1 19/42
- 1 1/30
3&4 are both 1 1/7
Step-by-step explanation:
Heelp for 20 points!!
The slope intercept form is written as: y= mx+b
where m is slope and b is the y-intercept
Here m is 1/5 and -8 is b
So, 1/5 and -8
Hope it helps!
What is 30% off $60?
Answer:
$18
Step-by-step explanation:
Simply just multiply 30/100 with 60 = (30/100)*60 = (30*60)/100 = 18
The value of 30% off $60 is number 18.
To calculate a 30% discount off $60, you can follow these steps:
Convert the percentage to a decimal:
30% is equal to 0.30.
Multiply the original price by the decimal:
$60 × 0.30
= $18.
Therefore, a 30% discount off $60 would be $18.
The discounted price would be $60 - $18 = $42.
Hence, the value of 30% off $60 is 18.
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Change 9% to fraction?
9/100
Step-by-step explanation:
[tex]9\% = \frac{9}{100} [/tex]
9% as a Fraction is 9/100
☆...hope this helps...☆
_♡_mashi_♡_
What substitution should be used to rewrite 6(x + 5)2 + 5(x + 5) -4 = 0 as a quadratic equation?
Ou= (x + 5)
Ou= (x-5)
u = (x + 5)²
O u =(x-5)²
The substitution that should be used to rewrite the equation is u = x+5, the correct option is A.
What is a Quadratic Equation?The polynomials of the 2nd degree are called Quadratic Equations.
It has a general form as ax² +bx+c=0
To rewrite the expression as a quadratic equation
6(x+5)² + 5(x+5)-4 = 0
=6(x+5)(x+5)+5(x+5)-4
=6(x² + 5x + 5x + 25)+5(x+5)-4
=6(x²+10x+25) + 5(x+5) - 4 = 0
=6x² + 60x + 5x + 150 + 25 - 4 = 0
=6x² + 65x + 171 = 0
This is the quadratic equation of the form ax² +bx+c=0
but if directly it has to be written in this ax² +bx+c=0 form , it can be written by substituting u = (x + 5)
6(x+5)² + 5(x+5)-4 = 0
6u²+5u-4 = 0
Therefore, the substitution that should be used to rewrite the equation is u = x+5, the correct option is A.
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What is the volume of the solid?
Answer: C. 3052,08 cm³.
Step-by-step explanation:
D=18 cm V=?
[tex]R=\frac{D}{2} =\frac{18\ cm}{2} =9\ cm.\\\boxed {V=\frac{4}{3}*\pi *R^3 }\\V=\frac{4}{3}*\pi *9^3 \\V=4*\pi *3*9^2\\V=12*81*3,14 \\V=3052,08\ (cm^3).[/tex]
Oder the following expressions
simplify 4(x+7)-7-x+2
Answer: 3x + 23
it should be right!
Answer:
3x + 23
Step-by-step explanation:
To simplify this expression, the first thing we have to do is distribute the 4 outside the parentheses. This gives us 4x + 28 - 7 - x + 2. Now, we can combine like terms (those that have variables and those that don't) to get 3x + 23
There are 12 pupils in a class.
They are each asked whether they have a brother or a sister.
9 say they have a brother.
7 say they have a sister.
2 say they have neither.
€
Fill in the Venn diagram
& = class of 12 pupils
B= pupils who have a brother
S= pupils who have a sister
Answer:
Circle B: 3
Both circle B + S: 6
Circle S: 1
Outside of box: 2
There are 135 people in a sport centre.
77 people use the gym.
62 people use the swimming pool.
65 people use the track.
27 people use the gym and the pool.
23 people use the pool and the track.
31 people use the gym and the track.
4 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
The probability that they do not use the swimming pool will be 0.2.
How to calculate the probability?From the information given, there are 135 people in a sport centre and 31 people use the gym and the track while 4 people use all three facilities.
Based on the information given, the people who use the gym and the track only will be:
= 31 - 4
= 27
The probability that they do not use the swimming pool will be:
= 27/135
= 0.2
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How many solutions exist for the given equation? 0.75(x 40) = 0.35(x 20) 0.35(x 20)
The equation 0.75(x+40)=0.35(x+20)+0.35(x-20) is having only one solution.
Given equation 0.75(x+40)=0.35(x+20)+0.35(x-20)
We have to find the number of solutions.
To find the number of solutions we have to solve the equation for the value of variable x. Equation is often solved to find the value of variables.
Equation : 0.75(x+40)=0.35(x+20)+0.35(x-20)
Opening the brackets and multiply the numbers outside by the numbers in the bracket.
0.75x+30=0.35x+7+0.35x-7
Take all the numbers having same variables at one end of equal to.
0.75x-0.35x-0.35x=7-7-30
0.75x-0.7x=-30
0.05x=-30
x=-30/0.05
x=-600
Which is the only value of x.
Hence the number of solutions of the equation 0.75(x+40)=0.35(x+20)+0.35(x-20) is one.
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sk...
What is as for the geometric sequence 6, 561; -2, 187; 729; -243;....
A. 1
B. -3
C. -9
D. -1
Option B is the answer. The term for the geometric sequence that we have here is -3.
How to solve for the geometric sequenceWe have u1, u2, u3 = a, ar, ar², ar³
From here we have to find the common ratio that is used to divide the sets of numbers
6,561 divided by −2,187 = -3
Hence when we go further each of the value when divided by -3 gives the next value.
Hence the value for the geometric sequence is -3.
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Jamaal washes 25 dishes per hour and works for 3 hours. Daniel can wash 22 dishes every two hours. Who can wash more dishes in 3 hours? And by how many?
Answer:
1. Jamaal
2. 42 more dishes
Step-by-step explanation:
1. Jamaal: 25 dishes per hour and works for 3 hours
25(3) = 75 dishes
Daniel: Daniel can wash 22 dishes every two hours.
22 = 2x
11 = x
11(3) = 33 dishes
2. 75 - 33 = 42
Jamaal can wash 42 more dishes than Daniel.
Jamaal washes 25 dishes per hour and works for 3 hours. Daniel can wash 22 dishes every two hours. Jamaal washed 42 more dishes than Daniel in 3 hours.
Let's calculate the number of dishes washed by each person in 3 hours and then compare the results.
Jamaal:
Jamaal washes 25 dishes per hour and works for 3 hours.
Number of dishes washed by Jamaal in 3 hours = 25 dishes/hour * 3 hours = 75 dishes
Daniel:
Daniel washes 22 dishes every two hours.
To find the number of dishes washed by Daniel in 3 hours, we need to find how many times he washes dishes in 3 hours.
Number of times Daniel washes dishes in 3 hours = 3 hours / 2 hours (time for 1 cycle) = 1.5 cycles
Now, multiply the number of cycles by the number of dishes washed per cycle:
Number of dishes washed by Daniel in 3 hours = 1.5 cycles * 22 dishes/cycle = 33 dishes
Comparison:
Jamaal washed 75 dishes in 3 hours.
Daniel washed 33 dishes in 3 hours.
Now, let's find the difference in the number of dishes washed by each person:
Difference = Jamaal's dishes - Daniel's dishes
Difference = 75 dishes - 33 dishes = 42 dishes
Therefore, Jamaal washed 42 more dishes than Daniel in 3 hours.
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a women buys 3 dozen eggs. Later ,she discovers that x of them are broken. How many eggs are not broken
Answer:
36 - xStep-by-step explanation:
a women buys 3 dozen eggs. Later ,she discovers that x of them are broken. How many eggs are not broken
3 * 12 - x =
36 - x
Can someone help? ASAP Find each missing length, give all answers in simplest radical form
URGENT!!!
A solution of 51% fertilizer is to be mixed with a solution of 26% fertilizer to form 250 liters of a 50% solution. How many liters of the 51% solution must be used?
We must mix 240 liters of the 51 % solution and 10 liters of the 26 % solutions to produce 250 liters of 50 % solution.
How to prepare a solution by using weighted averages
Herein we have to prepare a solution with fertilizers by mixing two different solutions. The amount needed of the 51 % solution can be found by weighted averages:
(50/100) · (250 L) = (51/100) · x + (26/100) · (250 - x)
50 · 250 = 51 · x + 26 · 250 - 26 · x
24 · 250 = 25 · x
x = 240
We must mix 240 liters of the 51 % solution and 10 liters of the 26 % solutions to produce 250 liters of 50 % solution.
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plss helpp its due tmr and i dont really get ittt
The orthocenter of the triangles ABC are (2, 0) and (3, 3)
How to determine the orthocenter?Question 8
The coordinates are given as:
A(2,0); B(2, 4); C(6,0)
Calculate the slope of BC using:
m = (y2 - y1)/(x2 - x1)
So, we have:
m =(0 - 4)/(6 - 2)
m =-1
The perpendicular slope is:
n = -1/m
n = -1/-1
n = 1
The equation of the perpendicular line is
y = n(x - x1) + y1
Where:
(x1, y1) = (2,0)
So, we have:
y = 1(x - 2) + 0
y = x - 2
Calculate the slope of AC using:
m = (y2 - y1)/(x2 - x1)
So, we have:
m =(0 - 0)/(6 - 2)
m =0
The perpendicular slope is:
n = -1/m
n = undefined
This means that the perpendicular line is a vertical line
The equation of the perpendicular line is
x = x1
Where:
(x1, y1) = (2,4)
So, we have:
x = 2
Substitute x = 2 in y = x - 2
y = 2 - 2
y = 0
So, we have:
(x, y) = (2, 0)
Hence, the orthocenter of ABC is (2, 0)
Question 9
The coordinates are given as:
A(1,1); B(3, 4); C(6,1)
Calculate the slope of BC using:
m = (y2 - y1)/(x2 - x1)
So, we have:
m =(1 - 4)/(6 - 3)
m =-1
The perpendicular slope is:
n = -1/m
n = -1/-1
n = 1
The equation of the perpendicular line is
y = n(x - x1) + y1
Where:
(x1, y1) = (1,1)
So, we have:
y = 1(x - 1) + 1
y = x
Calculate the slope of AC using:
m = (y2 - y1)/(x2 - x1)
So, we have:
m =(1 - 1)/(6 - 1)
m =0
The perpendicular slope is:
n = -1/m
n = undefined
This means that the perpendicular line is a vertical line
The equation of the perpendicular line is
x = x1
Where:
(x1, y1) = (3,4)
So, we have:
x = 3
Substitute x = 3 in y = x
y = 3
So, we have:
(x, y) = (3, 3)
Hence, the orthocenter of ABC is (3, 3)
How to solve for x?Question 18 - 20
Line 2x and x+ 3 are congruent lines
So, we have:
2x = x +3
Solve for x
x= 3
Line 3x and 2x + 5 are congruent lines
So, we have:
3x = 2x +5
Solve for x
x = 5
Line 2x - 3 and x + 2 are congruent lines
So, we have:
2x - 3 = x + 2
Solve for x
x = 5
Question 21 - 23
Line x + 5 and 3x + 7 are congruent lines
So, we have:
x + 5 = 3x + 7
Solve for x
x = -1
Line x + 6 and 5x - 4 are congruent lines
So, we have:
x + 6 = 5x - 4
Solve for x
x = 2.5
Line x + 8 and 5x + 7 are congruent lines
So, we have:
x + 8 = 5x + 7
Solve for x
x = 1/4
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help me help me ………….
Answer:
not similar
Step-by-step explanation:
not similar--it doesn't work out for the angles to be similar
if we find the angle x of the right-hand triangle, we can tell it would be 41 degrees
meaning that these triangles are not similar
hey i need help with this question im stuck on it, thanks
Answer:
I believe the graph went 3 units up
Step-by-step explanation:
A stack of 100 nickels has a height of 6.25 inches. What is the value, in dollars, of an 8-foot stack of nickels
The value of nickels is $76.80.
The height of each nickel is 6.25 / 100 = 0.0625 inches.
Divide 8 feet by 0.0625 inches to find that there are
8×12 / 0.0625 = 1536 nickels in an 8 ft stack.
Their value is $76.80.
Nickel is a chemical detail with the symbol Ni and atomic range 28. It is silvery-white lustrous steel with a mild golden tinge. Nickel belongs to the transition metals and is hard and ductile.
Pure nickel, powdered to maximize the reactive surface vicinity, indicates a widespread chemical interest, but large pieces are slow to react with air underneath fashionable conditions because an oxide layer paperwork at the floor stops further corrosion (passivation).
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Find the length of JH help pls
Answer:
c) 19
Step-by-step explanation:
To find the length of JH, subtract the length of HM from JM.
Length of JH = JM - HM
= 40 - 21
= 19
Answer:
JH = 19
Step-by-step explanation:
from the diagram
JH + HM = JM , that is
JH + 21 = 40 ( subtract 21 from both sides )
JH = 19
How many ways can the team assign field positions to 9 of the 22 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled
The number of ways is 497420
The ways can the team assign field positions to 9 of the 22 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled is [tex]22_{C_9}[/tex]
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
22C9 = 22! /(9!*13!) = 497420
Thus, In 497420 ways the team assign field positions to 9 of the 22 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled.
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An inverted right circular cone of capacity 1000 cm3 is filled with water to half of its depth. Volume of water (in cm2) is:
A. 125
B. 500
C. 250
D. 300
E. 400
A machine that is programmed to package 1.50 pounds of cereal is being tested for its accuracy in a sample of 56 cereal boxes, the sample mean filling weight is calculated as 1.52 pounds. The population standard deviation is known to be 0.06 pounds. Find the 95% confidence interval for the mean.
The 95% confidence interval for the mean is (1.535, 1.504).
It is given that a machine produces 1.50 pounds of cereal. The sample is 56 cereal boxes. The sample mean filling weight is calculated as 1.52 pounds. The population standard deviation is known to be 0.06 pounds.
Mean = 1.50 pounds
x = 1.52 pounds
Standard deviation = SD = 0.06 pounds
n = 56
We need to find the 95% confidence interval for the mean.
So, z = 1.96
So, the confidence interval would be
[tex]x[/tex]±[tex]z\frac{mean}{\sqrt{n} }[/tex]
[tex]1.52[/tex]±[tex]1.96*\frac{0.06}{\sqrt{56} }[/tex]
= [tex]1.52[/tex]±[tex]1.96*0.00801[/tex]
= [tex](1.52 + 0.0156996),(1.52 - 0.0156996)[/tex]
= [tex](1.535, 1.504)[/tex]
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pls helpppp!!!!!!
What kind of compound inequality is….>>>>>look at pic
Answer:
(d) intersection
Step-by-step explanation:
When given two inequalities, you must determine whether the solution set must satisfy both, or must satisfy either. The key is found in the conjunction associated with the inequalities.
ConjunctionHere, the conjunction is "and," which means the solution must satisfy both inequalities. It also means, the solution set will be the intersection of the solution sets of the different inequalities.
The attached number line shows the first solution set in red, the second solution set in blue, and the "and" (intersection) of those in purple.
The conjunction "or" will signify the solution set is the union of those of the separate inequalities.
Sharon drops a rubber ball from 160 feet every bounce sends the ball half as high as it was before. What is the total distance the ball has traveled from the moment it is dropped until it hits the floor for the fourth time
The total distance the ball has traveled from the moment it is dropped until it hits the floor for the fourth time is: 300 feet.
Total distanceFirst bounce
160 feet
Second bounce
= 1/2×160 = 80 feet
Third bounce
= 1/2×80 = 40 feet
Fourth bounce
= 1/2×40 = 20 feet
Hence:
Total distance= (160 feet+ 80 feet + 40 feet+20 feet
Total distance= 300 feet
Therefore the total distance traveled by the ball is 300 feet.
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Graph the function.
f(x)=5\cdot\left(\dfrac{4}{5}\right)^xf(x)=5⋅(
5
4
)
x
f, left parenthesis, x, right parenthesis, equals, 5, dot, left parenthesis, start fraction, 4, divided by, 5, end fraction, right parenthesis, start superscript, x, end superscript
Answer:
Please review my interpretation of the written expression.
Step-by-step explanation:
f(x) = 5*(4/5)^x : Is this correct?
If so, see attached graph.
One can calculate several points and then draw the graph, or use an online, and free, graphing app (DESMOS in this case).
Since the exponent is the variable, I'll pick a few vaules that are easy (for me) to calculate:
f(0) = 5*(4/5)^0
Anything raised to the 0th power is equal to 1, so we get 5*1 or 5 to make the point (1,5).
When x = 1, the fraction (4/5) remains (4/5) and when multiplied by 5, reduces to simply 4. The second point is (1,4)
For the last point, I chose x to be 10. 5(4/5)^10 becomes 0.5. The third point is (10,0.5)
We can see the line approaches 0 as x increases.
HELPPPP ASAP !!
Write a compound inequality that represents the given graph
Answer:
x <= -2 or x >= 3
Step-by-step explanation:
Shaded circles represent <= or >=, and the first arrow points left from -2, and the second arrow points right from 3. Therefore x <= -2 or x >= 3 would represent the graph.
Need help please if you know the Answer!!
[tex] \frac{?}{20} = \frac{6}{10} [/tex]
[tex] \frac{?}{2} = 6 \\ ? = 6\times 2 = 12[/tex]
Evaluate the following expressions by substituting s = 10 and t = 2.
3t2s.
1. 110
2. 120
3. 100
4. 130
Answer:
2. 120
Step-by-step explanation:
3t2s
Replace variables t and s with 2 and 10
3 x 2 x 2 x 10
6 x 20
=120
So the answer is number 2. 120