Answer:
a. For A2 to compute the interest.
b. For B2 to compute the principal.
c. For C2 to compute the interest rate.
d. For D2 to compute time in years, given the interest, rate, and the principal.
e. For E2 to compute the time in months, given the time in years.
a) A2 = B2 x C2 x D2
b) B2 = A2/ (C2 x D2)
c) C2 = A2/ (B2 x D2)
d) B2 = A2/ (C2 x D2)
e) E2 = 12 x D2
I know they only asked for principle, I just added for imformation lol
CosA-[1+sin2A]1/2
_______________=TanA
SinA-[1+sin2A]1/2
Answer:
[tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } } =tanA[/tex]
Step-by-step explanation:
Step(I):-
Given
[tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } }[/tex]
By using sin²x+cos²x =1
now
= [tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } }[/tex]
= [tex]\frac{cosA-(sin^{2} +cos^{2}x +2sinAcosA)^{\frac{1}{2} } }{sinA-(sin^{2}x+cos^{2} x +s2sinAcosA){\frac{1}{2} } }[/tex]
= [tex]\frac{cosA-(sinx +cosx)^{2} )^{\frac{1}{2} } }{sinA-(sinx+cos x)^2){\frac{1}{2} } }[/tex]
After simplification , we get
= [tex]\frac{cosA-(sinA+cosA)}{sinA-(sinA+cosA)}[/tex]
= [tex]\frac{-sinA}{-cosA}[/tex]
= tanA
Ya tengo el resultado, debe ser "y=4x-4"
Pero le doy 15 puntos al que llegue a ese resultado y explique cómo llegó a él
El método de Descartes para determinar tangentes se basa en la idea de que para muchas gráficas, la recta tangente en un punto dado es una recta "única" que intersecta la gráfica solamente en ese punto. Aplicaremos ese método para determinar la ecuación de una recta tangente a la parábola y=x^2 en el punto (2,4).
Primero, sabemos que la ecuación de la recta tangente debe tener la forma de y=mx+b. Usando el hecho de que el punto (2,4) está en la recta, podemos resolver para b en términos de m y obtener la ecuación y=mx+ (4-2m). Ahora queremos que (2,4) sea la "única" solución del sistema
{ y=x^2
y=mx+4-2m
De este sistema obtenemos x^2-mx+(2m-4)=0. Usando la fórmula cuadrática obtenemos
m+- √(m^2-4(2m-4))
x= --------------------------------
2
Para obtener una solución única para x, las dos raíces deben ser iguales, en otras palabras, el discriminante m^2-4(2m-4) debe ser 0. Completa el trabajo para obtener m y escribe una ecuación de la recta tangente
Answer:
Ver desarrollo en los parrafos que siguen
Step-by-step explanation:
El problema describe todos los pasos para llegar al sistema the equaciones:
y = x^2
y = m x + 4 - 2 m
Luego igualamos las cantidades 'y" y llegamos a la siguiente ecuacion cuadratica en "x":
x^2 = m x + 4 - 2m
luego restamos "m x" y "4" de ambos lados, y sumamos "2 m" de ambos lados para terminar con una ecuacion cuadratica igualada a cero para poder aplicar la equacion cuadratica
x^2 - m x - 4 + 2 m = 0
similar a:
a x^2 + b x + c = 0
donde
a = 1; b = "-m"; y c = "2 m - 4"
Luego usando la ecuacion cuadratica:
nos da de resultado:
[tex]x=\frac{m+/-\sqrt{m^2-4(1)(2m-4)} }{2(1)}[/tex]
Y para que la solucion sea UNICA, es necesario que la cantidad dentro de la raiz sea "cero" de modo que de solamente la solucion
x = m/2
Ahora, requiriendo que el determinante the la ecuacion cuadratica sea cero es:
[tex]m^2-4(2m-4)=0\\m^2-8m+16=0\\(m-4)^2=0\\m-4=0\\m=4[/tex]
ya que reconocemos que el trinomio m^2-8m+16 es un binomio quadrado perfecto; (m-4)^2
Y pidiendo que that binomio quadrado sea cero, es lo mismo que requerir que el binomio (m-4) sea cero, lo que significa que m = 4.
De esta manera, obtuvimos la pendiente "m" de nuestra recta:
y = m x + b
y = 4 x + b
Y como conociamos el valor de "b" usando el hecho de que el punto (2, 4) esta en la recta:
4 = 4 (2) + b
4 = 8 + b
4 - 8 = b
b = -4
Por lo tanto, la ecuacion dela recta es:
y = 4 x - 4
A meal that contains 4 grams of fat, 3 grams of protein, and 3 grams of carbohydrate will provide ______ calories.
Total calories in 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate
Carbohydrates provide 4 calories per gram, protein provides 4 calories per gram, and fat provides 9 calories per gram.
Thus total calories from given diet is = 4×4+4×3+9×3
=16+12+27
=56
Hence, Total calories in 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56
Learn more about the unitary method here:
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Please help me with the attachment below, will give brainlest
Answer:
D.
Step-by-step explanation:
Can someone help me please
Answer:
31.42 m
Step-by-step explanation:
circumference = (pi)d
circumference = 3.14159 * 10 m
circumference = 31.4159 m
Answer: 31.42 m
Answer: circumference =31.42m
Step-by-step explanation:
Factor the expression 8x + 36
Answer:
4 (2x +9)
Step-by-step explanation:
Let me know if I'm wrong pls
2 tenths= ? Hundredths
Answer:
20 hundredths
2 tenths equal 20 hundredths.
Hope this helps! :D
Answer:
20 hundredths
Step-by-step explanation:
I hope this helps you!
Do you give Brainlliest?
Find XY and YZ. X:-14, Y:-4.1, Z:17.3
Follow:
X:Y
Y:Z
-14 : -4.1
-4.1 : 17.3
so XY= ( 57.4)
YZ= (-70.93)
Question in picture below will give brainly.
Answer:
The Best answer would be The Third Option Below
Step-by-step explanation:
PLEASE HURRY!!
(a) Billy bought seven cat toys. Each cat toy costs the same amount. He spent a total of $22.75
(a) Write an equation that represents the situation. Use c to represent the cost of each cat toy.
(b) Solve for c and justify your solution by checking your answer.
Multiple the number of toys bought by c to equal the total spent:
A) 7c = $22.75
B) divide the total spent by the quantity bought:
C = 22.75/7
C = 3.25
Each toy cost $3.75
HELP ME PLZ
What is the slope of a parallel to the line that passes through (- 3, 1) and (3, 7)
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
To find the slope, you need to find the [tex]\frac{rise}{run}[/tex] between two points.
[tex]\frac{rise}{run}[/tex] = [tex]\frac{7-1}{3-(-3)}[/tex]
= [tex]\frac{7-1}{3+3}[/tex]
= [tex]\frac{6}{9}[/tex]
= [tex]\frac{2}{3}[/tex]
Answer:
To calculate slope with any two given points the formula is y2 - y1 / x2 - x1. So to solve the problem just plug in the values: 7 - 1 / 3 - (-3), 6 / 6, the slope is 1
A group of friends wants to go to the amusement park. They have $79.50 to spend on parking and admission. Parking is $19.50, and tickets cost $10 per person, including tax. Write and solve an equation which can be used to determine x, the number of people who can go to the amusement park.
Answer:
x = 6. six friends can go.
Step-by-step explanation:
79.50 - 19.50 = 60.00
60/10 = 6 people
The number of people that can go to the amusement park is six.
The information in the question can be represented with this equation:
Total amount the friends have = cost of parking + (cost of ticket x number of friends)
$79.50 = $19.50 + $10 × x
$79.50 = $19.50 + $10x
The equation that would be used to solve for the number of friends that can go to the amusement park, the equation that would be used is: $79.50 = $19.50 + $10x
Combine similar terms
$79.50 - $19.50 = $10x
$60 = $10x
Divide both sides of the equation by 10
$60 / $10 = x
x = 6
A similar question was answered here: https://brainly.com/question/20471133?referrer=searchResults
In a class of 25 students, 9 have a cat and 8 have a dog. There are 2 students who have a cat and a dog. What is the probability that a student has a cat given that they do not have a dog?
Answer:
20 + 14 = 34, there there are only 29 students, so 34 - 29 or 5 have both a dog and a cat
15 have only a dog
5 have a dog and a cat
9 have only a cat
Step-by-step explanation:
The probability that a student has a cat given that they do not have a dog is 3/5
What is probability ?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
According to the question,
The number of student who do not have a dog is
25 - ( 8 + 2 ) = 15
9 have a cat { do not have a dog is a prerequisite }
So the probability that a student has a cat given that they do not have a dog = 9/15
= 3/5
To learn more about probability from here
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CAN SOMEONE HELP ME WITH THIS??? I WILL MARK BRAINLIEST!!!
Answer:
no
Step-by-step explanation:
it has no number behind it so it is just 12 which is a integer
Answer:
Amelia is correct.
According to Google, an integer is a whole number, not a fraction. Therefore, she is correct.
Solve the proportion. 8/11 = 4/y + 2
Answer:
The answer is Y = - (22)/(7 )
Step-by-step explanation:
The parenthesis do not mean anything write 22/7 as a fraction.. why did you report my answer so rude
You’ve learned to identify whether a function is even or odd both graphically and algebraically. How does the notation for reflections over the x-axis and over the y-axis relate to the notation for even and odd functions? Remember that if f(-x) = f(x), a function is even, and if f(-x) = -f(x), then the function is odd.
Answer:
Because even and odd are 2 different ways to determine whether or not you get the right answer for the chosen function.
Step-by-step explanation:
Hope this helps!!!
Answer:
For even functions, we take f(-x) to be the starting function. The y-axis reflection of this function is f(-(-x)), which is equal tof(x). So the relationship f(-x) = f(x) means that the function is the same as its y-axis reflection.
For odd functions, there are two reflections that must occur. First, we start with f(-x). The y-axis reflection of this function is f(-(-x)) = f(x). When we apply an x-axis reflection to this result, we get -f(-(-x)) = -f(x). So the fact that f(-x) = -f(x) means that odd functions are the same as sequential reflections across both the x-axis and the y-axis. (The same sequence of reflections also represents a rotation 180 degrees about the origin).
Step-by-step explanation:
3(-4x + 8) =
PLEASE help! i don’t know these questions
Answer:
3(-4x+8)= now distribute it -12 x+24 so the answer will be that
True or False. Use the information below to answer questions 10, 11, and 12.
The local sporting goods store sells footballs at the following rate.
Number of Footballs n Total Price t
2 $17.00
4 $34.00
Use the chart above and the following information to answer the true and false questions that follow. The sporting goods store also sells baseballs at a 50% of the cost of the footballs. Determine which of the following statements are true. Select True or False for each statement.
10. The price of 6 baseballs is less than the price of 4 footballs. True or False
11. The difference in the price of 1 football when compared to the price of 1 baseball is less than $3
12. The price of 3 footballs is equal to the price of 6 baseballs. True or False
Answer:
True, False, True
Step-by-step explanation:
Calculate the unit price of a football and a baseball
2 footballs cost $17.00 , then
1 football costs $17 ÷ 2 = $8.50
A baseball is 50% of a football, thus
cost of base ball = 50% of $8.50 = 0.5 × $8.50 = $4.25
(10)
4 footballs cost $34.00 ( given in table )
6 baseballs cost 6 × $4.25 = $25.50 < $34
Thus 6 baseballs < 4 footballs is True
(11)
The difference in price = $8.50 - $4.25 = $4.25
Thus the difference in price is greater than $3, not less False
(12)
3 footballs cost 3 × $8.50 = $25.50
6 baseballs cost 6 × $4.25 = $25.50
Thus the costs are equal is True
Answer:
Answer:
see explanation
Step-by-step explanation:
1
(a)
If 2 chords of a circle intersect then the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord.
(b)
If 2 secants are drawn from an external point to a circle then the product of the measures of one secant's external part and the entire secant is equal to the product of the measures of the other secant's external part and that entire secant.
(c)
If a tangent and a secant are drawn from an external point to a circle , then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant.
2
A radian is defined as the angle subtended at the centre of a circle by an arc equal to the radius of the circle.
1 revolution = 360° = 2π radians
1 radian = \frac{360}{2\pi }
2π
360
≈ 57°
3
(a)
An inscribed circle of a triangle is a circle drawn inside a circle so the circle barely touches the sides of the triangle.
(b)
The incentre is at the point of intersection of the triangle's 3 angle bisectors.
(c)
A circumscribed circle of a triangle ( circles drawn around the triangle so that the circle passes through each of the triangles's vertices.
(d)
The circumcentre is at the intersection of the perpendicular bisectors of the triangle's sides.
'
Solve equation for
0<θ<2pi
5-1/4sinθ =5
If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest?
Answer :
R = 6.25%
Solution,
Let P is the principal. It means interest will be :
I=3/8 P
The formula for the interest is given by :
[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]
Hence, the rate of interest is 6.25%.
9 1/12 = k/9 Solve for K
Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire scored. How many did the scored
Answer:
45
Step-by-step explanation:
yee
5 kilometers between two locations, how many centimeters on the map is it?
Answer:
5 Km = 5000 meters, so 5000m/ 200m (scale factor)= 25 cm
Step-by-step explanation:
Quincy rides his bicycle 1 mile in 4 minutes, and his sister Marissa runs 13,376 feet in 16 minutes. In miles per hour approximately how much faster is Quincy than Marissa? (Note: 1 mile = 5,280 feet)
Answer:
Quincy is 5.5 mi/h faster than Marissa
Step-by-step explanation:
Speed
It's required to compare the speed of Quincy and Marissa knowing that Quincy rides his bicycle 1 mile in 4 minutes.
The speed can be calculated as the distance by the time, but it's required to express the speed in miles/hour.
4 minutes is 4/60 = 0.0667 hours, thus Quincy's speed is:
[tex]\displaystyle \frac{1\ mile}{0.0667\ h}=15\ mi/h[/tex]
Quincy rides at 15 miles/hour.
Marissa runs 13,376 feet in 16 minutes. Since 1 mile=5,280 feet:
13,376 / 5,280 = 2.533 miles
16 minutes = 16/60 = 0.2667 hours
Marissa's speed is:
[tex]\displaystyle \frac{2.533\ mile}{0.2667 \ h}=9.5\ mi/h[/tex]
The difference is 15 - 9.5 = 5.5 mi/h
Quincy is 5.5 mi/h faster than Marissa
Simplify.
16wxy
72xy
Answer: 1152wx^2y^2
Step-by-step explanation:
k/2 + 9 = 37
too lazy to do this work. lol
Answer:
K = 56
Step-by-step explanation:
Subtract 9
k/2 = 28
multiply by 2
k = 56
Write the equation for the graph below. Points (-5,1) (-4,2) (-1,3)
Answer:
Concept: Derivation of Equations
Let us find the parent graph We can tell that the equation of the parent graph is [tex] \sqrt{x} [/tex]Hence we perform a transformation moving five units to the left and one unit upSo out result equation is [tex] \sqrt{x + 5} + 1[/tex]General note, if you move to the left its positive, if you move to the right its negative.If you move upwards its positive and downwards its negative.Give brainlist2.2 divided by 2.15>?
Answer:
1.023255814>
Step-by-step explanation:
Just divide it.
Allison can work up to 35 hours per week. if she works 5 1/2 hours Monday, 6 hours on Tuesday, and 7 3/4 hours on Wednesday, how many more hours can she work during the week
Answer:
15 3/4
Step-by-step explanation:
this is simple addition and subtraction
Write the equation of the line fully simplified slope-intercept form
Answer:
y = 4/3x - 3
Step-by-step explanation:
y = mx + b
m is the slope and b is the y - intercept
The slope is rise/run, count how much it rises, or goes down, and how much it goes to the right. So there are points highlighted for us already, pick 2 points and count the units between them for rise it's 4, for run it's 3. So the slope is 4/3
b is the y-intercept, it's where the line goes through the y-axis, in this case it's -3
So plug the numbers in and it's y = 4/3x - 3