Existe un mayor porcentaje de bonos convertibles sobrevalorados comparado con el porcentaje de bonos de ingresos sobrevalorados, con lo cual la afirmación de Danny es correcta.
Dado que Danny Whitman, un analista de valores de Your Bottom Dollar, Inc. siempre ha considerado que es más probable que los bonos convertibles se sobrevaloren más que los bonos de ingresos, y de 312 bonos convertibles del año anterior, Danny encontró que 202 estaban sobrevalorados, mientras que 102 de los 205 bonos de ingreso estaban sobrevalorados, para determinar si estos datos confirman la posición de Danny se debe realizar el siguiente cálculo:
202/312 = 0.6474102/205 = 0.4975Por lo tanto, existe un mayor porcentaje de bonos convertibles sobrevalorados comparado con el porcentaje de bonos de ingresos sobrevalorados, con lo cual la afirmación de Danny es correcta.
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From a point on the ground 12 ft. from the base of a flagpole, the angle of elevation of the top of the pole measures 53°. How tall is the flagpole
Answer:
4.75 feet
Step-by-step explanation:
Let the height of the flagpole be x
Sin 53 = x/12
x = 12 × Sin 53
x = 12 × 0.3959
x = 4.75 feet
Answer:
15.9
Step-by-step explanation:
The 12 ft is the adjacent side and you are trying to find the opposite side or the height of the flagpole. You use Tan. Lowercase x means multiply.
Tan 53 = X
--------
12
To get rid of the 12 multiply both sides of the equation by 12. so
Tan 53 x 12 = X/12 x 12
Tan 53 x 12= X
X= 15.9
Of the 120 apartments in a building, 75 have been scheduled to receive new carpet. What fraction of the apartments have not been scheduled to receive new carpet?
1/4
3/8
5/8
3/4
Answer:
3/8
Step-by-step explanation:
Well, let's start out by figuring out how many apartments have not been scheduled to receive new carpet. We know that 75 have been scheduled and that there are 120 total apartments, so the number of apartments that have not been scheduled is 120 - 75 or 45.
Now, we need to find the fraction of apartments that have not been scheduled to receive new carpet. To do this, we divide the number of apartments that have not been scheduled to receive new carpet by the total number of apartments:
[tex]\frac{45}{120}[/tex]
We can divide both sides by a common factor of 15 to find the simplified fraction and determine our answer.
[tex]\frac{45}{120} /\frac{15}{15} =\frac{3}{8}[/tex]
So, 3/8 of the apartments have not been scheduled to receive new carpet.
how do you solve this linear programming inequality equation?
1 > 3P + 10
Answer:
-3 > P
Step-by-step explanation:
1 > 3P + 10
Subtract 10 from each side
1-10 > 3P + 10-10
-9 > 3P
Divide each side by 3
-9/3 > 3P/3
-3 > P
Frank wants to be an astronaut when he grows up. Last weekend, the science center had an interactive space station exhibit. Frank bought a 3-day pass so he could go every day. Since he bought a multiday pass, he saved $10. Frank paid $56 in all. How much does a day at the science center normally cost?
Write your answer as a decimal. If the decimal has more than 2 decimal places, round to 2 decimal places.
Modeling Real Life A principal invites 138 students to a reward breakfast. Nine students sit at each table. How many tables are there?
Answer:
16 tables
Step-by-step explanation:
So there are 138 students, and 9 sit at each table. This means you do 138/9, which leaves you with 15.3333. However you cant have .3 of a table so there must be 16 tables!
SOLVE FOR f
3/5 · f = 1 5/7
Answer:
f = 2 6/7
Step-by-step explanation:
[tex]\dfrac 35 \cdot f = 1 \dfrac 57 \\\\\\\implies \dfrac{3f}5 = 1 + \dfrac 57 = \dfrac{12}7\\\\\\\implies 21f = 60\\\\\implies f = \dfrac{60}{21} = \dfrac{20}7 = 2 \dfrac 67[/tex]
Which expression is equivalent to 4(6 - 2x) ?
Answer:
Option A
Step-by-step explanation:
[tex]4(6-2x)\\\rule{150}{0.5}\\\rightarrow ((6 * 4) ( -2x*4)) \leftarrow \text{Distribute the '4' into the content in the parenthesis.}\\\\\\\\\rightarrow 6 * 4 = 24\\\\\rightarrow -2x * 4 = -8x\\\\\\\\\rightarrow 4(6-2x) = \boxed{24 - 8x}[/tex]
Hope this helps.
Which of the following is(are) the solution(s) to |11x +3 = 6 ?
Hey there!
11x + 3 = 6
SUBTRACT 3 to BOTH SIDES
11x + 3 - 3 = 6 - 3
CANCEL out: 3 - 3 because it gives you 0
KEEP: 6 - 3 because it helps you solve for your x-value
11x = 6 - 3
11x = 3
DIVIDE 11 to BOTH SIDES
11x/11 = 3/11
CANCEL out: 11/11 because that gives you 1
KEEP: 3/11 because it simplifies for the x-value
SOLVE
x = 3/11
Therefore, your answer should bed x = 3/11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
the greatest common factor of 12x^2y^3 and 24xy^2 is
Answer: (12xy^2)
Step-by-step explanation:
12x^2y^3
(12xy^2)*(xy)
24xy^2
(12xy^2)*(2)
The greatest common factor of the expressions 12x²y³ and 24xy² will be 12xy².
What is the greatest common factor?Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).
The expressions are given below.
12x²y³ and 24xy²
The factor of the expression 12x²y³ is given as,
12x²y³ = 12 × x × x × y² × y
The factor of the expression 24xy² is given as,
24xy² = 2 × 12 × x × y²
The common factors in both expressions are 12, x, and y². Then the greatest common factor will be given as,
⇒ 12 × x × y²
⇒ 12xy²
The best normal component of the articulations 12x²y³ and 24xy² will be 12xy².
More about the greatest common factor link is given below.
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3. One leg of a right triangle measures 10 inches while the other leg measures 21 inches. What is the length of the hypotenuse?
A) c = 9in
B) c = 11in
C) c = 12in
D) c = 7in
4. If the length of the hypotenuse is 10m and its base leg is 6m, what is the length of its remaining leg?
A) a = 8m
B) a = 9m
C) a = 12m
D) a = 10m
5. The altitudes of a right triangle has a length of 32cm. It’s hypotenuse measures 9cm. How long is its base leg?
A) b = 5cm
B) b = 7cm
C) b = 6cm
D) b = 9cm
6. Ben pushes a stick in the ground next to a flag pole so that its measure from the ground is 1 foot. The stick casts a shadow of 4 feet while the flag pole casts a parallel shadow of 60 feet. How tall is the
Step-by-step explanation:
Pythagoras formula for the relation of the side lengths in a right-angled triangle :
c² = a² + b²
c is the Hypotenuse, the side opposite of the 90 degree angle.
a and b are the "legs".
3.
c² = 10² + 21² = 100 + 441 = 541
c = sqrt(541) = 23.2594066...in
so, none of the provided answers. are you sure you put the right numbers ? maybe the second leg is sqrt(21) instead of 21 ? because then it would be
c² = 10² + sqrt(21)² = 100 + 21 = 121
c = 11in
4.
10² = a² + 6²
100 = a² + 36
64 = a²
a = 8 m
5.
again, there must be something wrong. the height of the triangle cannot be longer than the legs of the triangle.
given the answer options of 5 - 9 cm it cannot be 32cm. maybe you mean 3.2 cm ?
also interesting that it says "attitudes" - plural. what do you mean by that ?
because there is something else missing. like how long are the segments of the Hypotenuse where the height (or altitude) is touching the Hypotenuse ?
with just the Hypotenuse length and the height length we cannot calculate the other parts of the triangle, because we can move the height freely along the Hypotenuse and draw fitting right-angled triangles on that "skeleton".
6.
similar triangles. that means the lengths of corresponding lines (like sides or heights) are all in relation with the same scaling factor.
so, the small triangle has its "height" side of 1 ft, and multiplying with the scaling factor would then give us the height of the flag pole.
what is the scaling factor ? we get that from the pair of corresponding sides we already know : the shadows.
going from the small to the large triangle we have to transform 4ft into 60ft.
what do I have to multiply 4 with to get 60 ?
4 × x = 60
x = 60/4 = 15
so, the flag pole is
15×1 = 15ft tall.
Write an equation in slope-intercept form for the line with slope 3 and y-intercept "-7." Then graph the line.
Answer:
The equation of a straight line is always [tex]y=mx+b[/tex], where m is a constant which is the slope and b is a constant which is the y-intercept.
Substitute these values in:
[tex]y=3x-7[/tex]
The graph would look like the image attached.
Find the sum of 382 - 8 - 10 and 1042 +2 - 10.
Answer:
364 and 1034
Step-by-step explanation:
If you treat 2 friends to lunch, the 1st lunch is $12. 35, the 2nd lunch is $14. 22, and your lunch is $11. 47. You want to add a 20% tip. How much will you pay in total?.
The solution is
The total amount for the lunch is given by the equation A = $ 45.648
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount for the lunch be represented as A
Now , the equation will be
The amount for the first lunch = $ 12.35
The amount for the second lunch = $ 14.22
The amount for the third lunch = $ 11.47
The percentage of tip = 20 %
So , the total amount for the lunch without tip = $ 12.35 + $ 11.47 + $ 11.47
On simplifying the equation , we get
The total amount for the lunch without tip = $ 38.04
The amount of tip = total amount for the lunch without tip x percentage of tip
Substituting the values in the equation , we get
The amount of tip = 38.04 x ( 20/100 )
The amount of tip = 38.04 x 0.20
The amount of tip = $ 7.608
So ,
The total amount for the lunch A = total amount for the lunch without tip + amount of tip
Substituting the values in the equation , we get
The total amount for the lunch A = $ 38.04 + $ 7.608
The total amount for the lunch A = $ 45.648
Therefore , the value of A is $ 45.648
Hence , the total amount is $ 45.648
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PLEASE HELP AD EXPLAIN WELL!
Answer:
y intercept is (0, -4)
equation is y = x - 4
Step-by-step explanation:
The slope is rise/run which you can find by choosing "any" two points on the line. For instance (0,-4) and (4,0)
The rise is the difference in y direction: 0 - - 4 = 4, the graph "rises" by 4.
The run is the difference in x direction: 4 - 0 = 4, the graph "runs" by 4.
So the slope is 4/4 = 1.
The y intercept is the point on the y axis where the line passes through. This is (0,-4). The intercept value is y= - 4.
The equation is slope times x plus y intercept value.
So putting this all together gives you an equation of
y = 1·x + -4
a.k.a.
y = x-4
math question please help meeee
Answer: what the math question is
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
7 plus 5 (painters plus photographers) equals 12. The remaining (4) adds to 16. 12/16 can be simplified to 3/4
Hope it helps
Would appreciate a brainliest
Write an equation of the line that passes through the pair of points.
(-5,-4), (5,-3)
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
for the slope a :
x changes by +10 (from -5 to 5)
y changes by +1 (from -4 to -3)
the slope is +1/+10 = 1/10
the equation looks now like
y = (1/10)x + b
let's use the first point.
-4 = (1/10)×-5 + b = -1/2 + b
-3 1/2 = -7/2 = b
the equation is
y = (1/10)x - 7/2
so, the second answer option is correct.
3.03Quiz:circles
The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)
What is the equation of the circle in standard form?
Answer:
yung nasa pic sagut sa⇩
The center of a circle lies on the line y=6x+2 and is tangent to the x-axis at (-2,0)
What is the equation of the circle in standard form?⇩
-Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units. To graph a circle mark points r units up, down, left, and right from the center.
thank me later♡
Help me please Research
Answer:
i think the details given for the question is in sufficient or question is wrong
What will be the length of cloth used to make each bag, if 16 bags of equal sizes can be prepared from 50 m cloth?
A) 3 1/4 m
B) 8 1/6 m
C) 8 1/3 m
D) 3 1/8 m
Answer:
3 1/8
Step-by-step explanation:
16 bags = 50 m
1 bag = 50/16
1 bag = 25/8
1 bag = 3 1/8 ( due to mixed fraction )
so the cloth needed to make one bag is 3 1/8 m
Evaluate.
(2a - 3) ÷ (b / 4) when a = 12 and b = - 20
Answer:
-4.2
Step-by-step explanation:
First me put a and b in
2x12
24
(24 - 3) = 21
b: -20
-20 divided by 4 = -5
21 divided by -5
Answer= -4.2
What is the answer for this this question if you don’t your gay
12x-15 distributive property
[tex]\\ \sf\longmapsto 12x-15[/tex]
Distributive property
A(B+C)=AB+ACTake 3 common
[tex]\\ \sf\longmapsto 3(4x-5)[/tex]
Done
PLA HELP PLS PLS PLA
Answer:
y=3x-1
Step-by-step explanation:
I solved it by using graph paper so if you start out at (2,4), and go down 3 and left 1 you would end up at (-1,3)
A watch company estimates that the profit (in peso)
for selling a particular model is given by
P(x)=4x^3-31x^3-10058x+158040 for 0 < x < 50
where x is the advertising expense (in tens of thousands of pesos).
What kind of polynomial is described by the equation?
A.quadratic
B.constant
C.cubic
D.quintic
I need an answer right now thank you.
The leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial
The standard form of a polynomial expression is written as:
[tex]a_nx^n+ a_{n-1}x^{n-1}+ a_{n-2}x^{n-2}+...[/tex]
A polynomial function has a leading degree that is greater than 2;
Given the polynomial function
[tex]P(x)=4x^3-31x^3-10058x+158040[/tex]
From the given polynomial, the leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial
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Can someone help? This is so hard.
y equals 50° since there is a 90° and a 30°
Answer:
cos^-1 (9/15)
Step-by-step explanation:
Help please I really don’t understand SOS
Answer : 5 , 6 , 7 and 8
Step-by-step explanation:
.....
kayla ran 10 miles it took her 60 minutes how many minutes did it take her to run each mile?
Answer: 4 hours 30 minutes
Step-by-step explanation: 36/8 = 4.5 hours
hours = 4, minutes = 0.5*60 = 30
tell the number of decimal places that will be in the product
1. 6.3×0.75=___
2. 9.7×48.8=____
3. 5.96×62.15=___
4. 37.6×8.3=____
Answer:
3242Step-by-step explanation:
The number of decimal places in the product is the sum of the numbers of decimal places in the factors.
1. the factors have 1 and 2 decimal places, so the product will have 1+2 = 3 decimal places.
2. 1 + 1 = 2 decimal places in the product
3. 2 + 2 = 4 decimal places in the product
4. 1 + 1 = 2 decimal places in the product
_____
Additional comment
If the factor has m decimal places, the place value of its least-significant digit is 10^-m. Similarly, if the factor has n decimal places, the place value of its least-significant digit is 10^-n. When these numbers are multiplied, the place value of the least-significant digit of the product is (10^-m)(10^-n) = 10^-(m+n). That is, there will be m+n decimal places in the product.
Note that the product in problem 3 is 370.4140. That is, the least-significant digit of the product is zero. Many calculators will not show that zero, giving the (false) impression that the product has only 3 decimal places.
Answer:
4.725
2.473.6
3.370.414
5.312.08
Step-by-step explanation:
Can someone pls help me!
Answer:
x is -3
Step-by-step explanation: