Answer:
$25.70 (nearest cent)
Step-by-step explanation:
Given:
Market value = $39,400,000Liabilities = $3,940,000Outstanding shares = 1,380,000[tex]\begin{aligned} \textsf{Net Asset Value}_{\textsf{(Per Share)}} & =\dfrac{\textsf{Fund Assets}-\textsf{Fund Liabilities}}{\textsf{Total number of Outstanding Shares}}\\\\\implies \textsf{Net Asset Value}_{\textsf{(Per Share)}} & = \dfrac{\$39,400,000-\$3,940,000}{\$1,380,000}\\\\& = \dfrac{\$35,460,000}{\$1,380,000}\\\\& = \$25.69565217...\\\\\end{aligned}[/tex]
Therefore, the Net Asset Value (NAV) per share is $25.70 (nearest cent).
The given information is,
→ x = $39,400,000
→ y = $3,940,000
→ z = 1,380,000
Formula we use is,
→ (x - y)/z
Now the net asset value per share is,
→ (x - y)/z
→ (39400000 - 3940000)/1380000
→ 35460000/1380000
→ 25.6956521739
→ ≈ $25.70
Hence, the net asset value is $25.70.
If 4/15 of the candies in a bag of Skittles are red and 3/10 are yellow, what fraction of the bag are red and yellow?
The fraction of the bag that are red and yellow are [tex]\frac{17}{30}[/tex].
A fraction is a portion of a whole or, more roughly, any number of equal pieces. The word fraction comes from the Latin word fractus, which meaning "broken." When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. Below (or after) that line, there is a non-zero denominator and a common, vulgar, or simple fraction. Uncommon fractions that use numerators and denominators include difficult fractions, compound fractions, and mixed numeral fractions.To calculate the total fraction of red and yellow candies in the bag of skittles we add the two fractions together.
To add the two fractions together but first rewrite the fractions with a common denominator;
[tex]\frac{4}{15} =\frac{8}{30}[/tex]
[tex]\frac{3}{10} =\frac{9}{30}[/tex]
[tex]\therefore\frac{8}{30} +\frac{9}{30} \\\\=\frac{17}{30}[/tex]
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I Use the quadratic equation to complete the following sentence
2 - 4x + 10 = 0
The quadratic equation has
Select One
Answer:
your answer is 7/2
(13) Determine if the following equation has one solution, no solution, or infinite
solutions: 15y + 14 = 7(2y + 2).
Answer:
y = 0, one solution
Step-by-step explanation:
15y + 14 = 14 y + 14
-14y -14y
y + 14 = 14
-14 -14
y = 0
so one solution
A quadratic function has A) straight lines that do both increase, decrease or stay constant on the same graph. B) curved lines that only increase or decrease. C) curved lines that do both increase and decrease on the same graph. D) straight lines that only increase or decrease. E) straight lines that do both increase and decrease on the same graph
find the distance between the two points in simplest radical form. (-2,1) and (-8,-7)
Answer:
10
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]
3z+6+4z+9+8u combine like terms
Answer:
8u + 7z + 15
Step-by-step explanation:
Let's solve the problem,
→ 3z + 6 + 4z + 9 + 8u
→ 8u + (3z + 4z) + (6 + 9)
→ 8u + 7z + 15
Thus, solution is 8u + 7z + 15.
Answer:
8u±7z±15
Step-by-step explanation:
3z±6±4z±9±8u
8u±3z±4z±9±6
8u±7z±15
Hope its helpful for you
1.) (3+x)2-(3+x)=12
2.) 4x2+3(x+6)=0
3.) 2a(6a-8)+4=39
Answer:1. X=9
2. x
=
Step-by-step explanation:
what is the angle of depression zipline
Answer and Explanation:
The problem provides the following information:
Hypotenuse
=
h
y
p
=
5129
ft
Vertical drop
=
o
p
p
=
1275
ft
To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:
sin
θ
=
o
p
p
h
y
p
θ
=
sin
−
1
(
o
p
p
h
y
p
)
θ
=
sin
−
1
(
1275
ft
5129
ft
)
θ
=
sin
−
1
(
0.2485864691
)
θ
=
14.3938824691
≈
14.4
∘
The angle of depression is
14.4
604,542+87,106 estimated
Answer:
the answer is to the question is 691648
Which equation represents the graph of this function?
_
A ) f(x)= √ x −4
____
B) f(x)= √x + 4
____
C) f(x)= √x - 4
_
D) f(x)= √x + 4
Answer:
USE air math
Step-by-step explanation:
hope that helps
Please solve this! I need it asap!
The differentiation of the given function is expressed as; 2x - √3(y) = 0
How to carry out Differentiation?
We want to differentiate the function;
x² - √3(xy) + 2y² = 12
To differentiate this means to express as;
x²(dy/dx) - √3(xy)(dy/dx) + 2y²(dy/dx) = 12(dy/dx)
This gives us;
2x - √3(y) + 0 = 0
2x - √3(y) = 0
Thus, the differentiation of the given function is expressed as;
2x - √3(y) = 0
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Use the following information to write an equation in terms of X. Then solve the equation and find RS and RT.
RS = 2x - 8
ST = 11
RT = x + 10
equation:?
x=?
RS=
RT=
We get the values of RS and RT as 6 and 17 respectively after solving the equations.
We are given the equations:
RS = 2x - 8
ST = 11
RT = x + 10
Now, we know that:
RS + ST = RT.
Substituting the values, we get that:
2 x - 8 + 11 = x + 10
2 x + 3 = x + 10
2 x - x = 10 - 3
x = 7
Now substituting it to find RS and RT:
RS = 2 x - 8
RS = 2 ( 7 ) - 8
RS = 14 - 8
RS = 6
RT = x + 10
RT = 7 + 10
RT = 17
Therefore, we get the values of RS and RT as 6 and 17 respectively after solving the equations.
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a boy weighs 90 pounds on earth but 34.5 pounds on mars how much does a 600 pound man weigh on mars
Answer:
230lb
Step-by-step explanation:
The Boy weighs 90 lb on earth and 34.5 on the Moon.
90/34.5= 2.608695652
The boys weight on earth divided by his weight on the moon is equal to the difference in weight
So for a 600 lb guy
600/2.608695652 = 230
The guys Earth weight divided by the difference in weight is equal to his moon weight.
Please help also I know the answers there are wrong
If possible explain how you got the answers
The values of all the required angles are; m∠5 = 42°; m∠8 = 138°; m∠10 = 138° and m∠11 = 42°
How to Identify corresponding angles?
Corresponding angles are formed where a line known as an intersecting transversal, crosses through a pair of straight lines.
Now, we are given that; m∠1 = 42°
By corresponding angles, we can say that;
m∠1 = m∠5
Thus; m∠5 = 42°
Now, we know that sum of angles on a straight line is equal to 180° i.e. they are supplementary angles.
Now, from the diagram, we can see that m∠5 and m∠8 are supplementary angles and as such;
m∠5 + m∠8 = 180°
42 + m∠8 = 180
m∠8 = 180° - 42°
m∠8 = 138°
Now, m∠9 is a corresponding angle to both m∠1 and m∠5. Thus, we can say that; m∠9 = 42°. However, m∠9 is supplementary to m∠10. Thus;
m∠10 = 180 - 42
m∠10 = 138°
Lastly, m∠10 and m∠11 are supplementary angles and as such;
m∠10 + m∠11 = 180°
138 + m∠11 = 180
m∠11 = 180° - 38°
m∠11 = 42°
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2(2x - 5) = 3x + x - 2x What is the solution of the equation? X =
Answer:
Step-by-step explanation:
2(2x-5)=3x+x-2x
4x-10=3x+x-2x
4x-10=2x
4x-10+10=2x+10
4x=2x+10
2x=10
2/2
10/2=5
x=5
The solution to the equation 2(2x-5) = 3x + x - 2x is x = 5
Given data:
To solve the equation 2(2x - 5) = 3x + x - 2x, we will simplify and solve for x.
Step 1: Distribute the 2 to the terms inside the parentheses:
4x - 10 = 3x + x - 2x
Step 2: Combine like terms on both sides of the equation:
4x - 10 = 2x
Step 3: Subtract 2x from both sides to isolate the variable x:
4x - 2x - 10 = 0
Simplifying:
2x - 10 = 0
Step 4: Add 10 to both sides to eliminate the -10 term on the left side:
2x - 10 + 10 = 0 + 10
Simplifying:
2x = 10
Step 5: Divide both sides by 2 to solve for x:
(2x)/2 = 10/2
Simplifying:
x = 5
Hence, the solution is x = 5.
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The mean diameter of holes produced by a drilling machine is 4.05mm and the standard deviation of the diameter is 0.0028mm. for 20 holes drilled using this machine. determine , correct to the nearest whole number how many hare likely to have diameters of between
a) 4.048 and 4.0553
assuming they are normaly distributed
The hole having the diameters likely between 4.048 and 4.0553 is 17.
Maximum value of diameter = 4.05 + 0.0028 = 4.0528
Minimum value of diameter = 4.05 - 0.0028 = 4.0472
So, the diameters of the holes are in AP with common difference
= (2 × 0.0028) / 20 = 0.00028
So, the AP is:
4.0472, 4.04748, 4.04776, 4.04804, …, 0.0.0528
So, the first 3 terms are not included between 4.048 and 4.0553
Hence, the answer is 20 - 3 = 17
Therefore, the hole having the diameters likely between 4.048 and 4.0553 is 17.
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HELP ASAP Question 4(Multiple Choice Worth 2 points) (Scientific Notation in the Real World MC) A TV show had 3.6 x 104 viewers in the first week and 4.1 x 104 viewers in the second week. Determine the average number of viewers over the two weeks and write the final answer in scientific notation. 3.85 x 104 7.7 x 104 3.85 x 108 7.7 x 108
The average number of viewers over the two weeks will be 3.85 × 10⁴.
How to calculate the value?It should be noted that based on the information, the TV show had 3.6 x 10⁴ viewers in the first week and 4.1 x 10⁴ viewers in the second week.
Therefore, the average number of viewers over the two weeks will be:
= [(3.6 × 10⁴) + (4.1 × 10⁴)] / 2
= 3.85 × 10⁴
Therefore, the average number of viewers over the two weeks will be 3.85 × 10⁴.
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please help with this question the question is in the attached image
The coefficient matrix for the given system of equations is as follows:
[tex]\left[\begin{array}{ccc}2&-6&-1\\-10&9&5\\3&0&5\end{array}\right][/tex]
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The augmented matrix of a system is composed as follows:
The first column has the coefficients of x.The second column has the coefficients of y.The last column has the results, that is, the values of the other side of the equality.In standard notation, this system is given as follows:
2x - 6y = -1.-10x + 9y = 5.3x + 0y = 5.Hence the augmented matrix is given by:
[tex]\left[\begin{array}{ccc}2&-6&-1\\-10&9&5\\3&0&5\end{array}\right][/tex]
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Write a subtraction expression using integers that equals -6
Find the sum of 3√2 and 2√8 in simplest form. Also, determine whether the result
is rational or irrational and explain your answer.
Answer:
7√2
7√2 is irrational since √2 is irrational
Step-by-step explanation:
3√2 + 2√8 = 3√2 + 2 × 2√2 = 3√2 + 4√2 = 7√2
7√2 is irrational since √2 is irrational
Would like help with this?
The largest interval in which the function is continuous is given by:
(-∞, -3).
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
A function is also not continuous for the values of x which are outside the domain of the function, hence a fraction is not continuous at the zeroes of the denominator.
In this problem, the zeroes of the denominator of the function are:
x = -3, x = 4.
Hence the continuity intervals are:
(-∞, -3).(3,4).(4,∞).The largest one is the first, as |-3| < |4|, meaning that it is a larger distance from infinity.
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determine the values of the missing entries. reduce all fractions to the lowest terms
9x-6y= 18
By evaluating the given linear relation, we conclude that the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
How to determine the values of the missing entries?Here we have the linear relation:
9x - 6y = 18
And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.
For example, the first pair has y = 0.
Evaluating that we get:
9x - 6*0 = 18
9x = 18
x = 18/9 = 2
Then we have the pair (2, 0).
The second has x = 0, replacing that we get:
9*0 - 6*y = 18
y = 18/-6 = -3
So we have the pair (0, -3)
The third has x = 1, replacing that:
9*1 - 6y = 18
-6y = 18 - 9 = 9
y = 9/-6 = -3/2
So we have the pair (1, -3/2)
The last value on the table is y = 4, replacing that:
9x - 6*4 = 18
9x - 24 = 18
9x = 18 + 24 = 42
x = 42/9 = 14/3
Then the complete table is:
x: 2, 0, 1, 14/3
y: 0, -3, -3/2, 4
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A patient is limited to 2000 milliliters (mL) of liquid intake per day. If the patient has 300 mL of juice for breakfast and 500 mL of milk for lunch, how much liquid can the patient have for the rest of the day?
Answer: 300mL + 500mL = 800 mL
2000 mL - 800 mL = 1200mL
The patient can have 1200 milliliters of liquid for the rest of the day.
*Please help*
Xavier bought a new boat for $24,000 in the year 2009. He knows that the value of the boat has depreciated linearly. If the value of the boat in 2010 was $18,500, what was the annual rate of change of the boat's value? Round your answer to the nearest hundredth if necessary.
Answer:
5500 is correct Answer.
Please mark me as brainlist answer.
The ticket sales at a movie theater were $4,740. Adult tickets are $15, and senior tickets are $10. The
number of senior tickets sold was 37 less than twice the number of adult tickets. Determine the
number of adult tickets and number of senior tickets sold.
How many adult tickets were sold?
How many senior tickets were sold?
Answer: 291 with a remainder of 375
Step-by-step explanation: What you need to do first is multiply the senior tickets by 37 which is 370. Now subtract 4,740 by 370 which equals 4370. Then divide 4370 by 15. 4370 divided by 15 equals 291. Multiply 291 by 15 (just to find the remainder) which equals 4,365. 4,740 subtracted by 4,365 equals 375. So the answer is 375
On a map the distance between two towns is 2.6 cm to scale of the map is 1 cm 50 km what is the actual distance between two
The answer to this question is:
The actual distance between the two towns = 130 km
Given that according to the map scale,
Distance between two towns = 2.6cm
Given that the scale of map =
1cm = 50km
So, we are asked to find the actual distance between them.
For finding the distance between two towns, we have to multiply the distance from the map by the scale of the map.
Distance between two towns * scale of the map
= 2.6 * 50 km
= 130 km
Therefore, actual distance between the two towns = 130 km
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New Jersey transit claims that it’s 8:00 AM train from Princeton to New York has probability 0.9 of arriving on time. I assume for now that this claim is true. Explain what probability 0.9 means in the setting
It means there's a 90 percent chance that 8:00 AM train from Princeton to New York will arrive on time, and 10 percent chance it’s 8:00 AM train from Princeton to New York will not arrive on time.
Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.
It means there's a 90 percent chance that 8:00 AM train from Princeton to New York will arrive on time, and 10 percent chance it’s 8:00 AM train from Princeton to New York will not arrive on time.
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f is the function (x)-2x+5.
(a) Find (3)
(6) Express the inverse function f' in the form f'(x)-
g is the function g(x)-²-25.
(c) Find g(-3).
(d) (1) Find gfx)
r'(x)-
Give your answer as simply as possible.
(ii) Solve g(x)-0.
gf(x) -
(1)
8
e
(5)
The given functions can be solved using composition functions.
What is a composition function?Function composition is a mathematical procedure where two functions, f and g, are taken and a function, h = g f, is produced such that h(x) = g(f(x)). The function g is applied in this operation on the outcome of applying the function f to x.
function (x)-2x+5.
(a) f(3) = 2(3) + 5
= 11
(b) f'(x)
y = 2x + 5
y - 5 = 2x
x = y - 5 / 2
f'(x) = x - 5 / 2
g is the function g(x)-²-25.
(c) g(x)-²-25
g(-3) = (-3)² - 25
g(-3) = -16
(d) g(f(x)) = g(2x + 5)² - 25
= 4x² + 25 + 20x - 25
⇒ 4x² + 20x
r'(x) = 2x + 5
(ii) g(x) - 0
⇒ g(x)
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Solve for f can somebody help
Answer: f < 9
Step-by-step explanation:
first, cross multiply 2 and 2:
f - 5 < 4
f < 9
Answer:
f < 9
Step-by-step explanation:
=> (f-5)/2 < 2
multiplying both sides by 2
=> 2(f-5)/2 < 2×2
=> f-5 < 4
adding 5 to both sides
=> f-5+5 < 4+5
=> f < 9
Fill the table below using the function f(x) = -2x^2 +5x-3
x | f(x)
-1.4 |
-0.7 |
0 |
0.7 |
1.4 |
+ Explain?
The complete table of values is
x | f(x)
-1.4 | -13.92
-0.7 | -7.48
0 | -3
0.7 | -0.48
1.4 | 0.08
How to fill the table using the function?The function is given as:
f(x) = -2x^2 +5x - 3
Next, we calculate the values of the functions at the given x values
So, we have:
f(-1.4) = -2(-1.4)^2 + 5(-1.4) - 3 = -13.92
f(-0.7) = -2(-0.7)^2 + 5(-0.7) - 3 = -7.48
f(0) = -2(0)^2 + 5(0) - 3 = -3
f(0.7) = -2(0.7)^2 + 5(0.7) - 3 = -0.48
f(1.4) = -2(1.4)^2 + 5(1.4) - 3 = 0.08
Hence, the complete table of values is
x | f(x)
-1.4 | -13.92
-0.7 | -7.48
0 | -3
0.7 | -0.48
1.4 | 0.08
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