Answer:
La respuesta al ejercicio es:
$4,000.00 al 5% anual.$5,000.00 al 4% anual.Step-by-step explanation:
Teniendo en cuenta que el capital inicial es de $9,000.00 y el capital tras un año es de $9,400.00, se identifica en primera instancia que la ganancia gracias al interés anual fue de $400, por lo cual se pueden tener en cuenta las siguientes variables:
x = monto de dinero al 5% anual.y = monto de dinero al 4% anual.Y el siguiente sistema de ecuaciones:
x + y = 9000x * 5% + y * 4% = 400En la segunda ecuación, cambiaremos los porcentajes para facilitar los cálculos posteriores:
2. x * 0.05 + y * 0.04 = 400
Lo cual también se puede representar como:
2. 0.05x + 0.04y = 400
Procedemos a despejar una variable, en este caso despejaré la variable y de la primera ecuación:
x + y = 9000y = 9000 - xY la reemplazaré en la segunda ecuación:
0.05x + 0.04y = 4000.05x + 0.04 (9000 - x) = 400Ahora operamos:
0.05x + 360 - 0.04x = 400Restamos las variables x:
0.01x + 360 = 400Y despejamos el valor real de x:
0.01x = 400 - 360x = 40 / 0.01x = 4000Ya que x es el monto de dinero puesto al 5% anual, ahora sabemos que dicho monto fue $4,000.00, por último, reemplazamos este valor en la primera ecuación para identificar el valor de y:
x + y = 90004000 + y = 9000y = 9000 - 4000y = 5000Por último, sabemos que el monto de dinero puesto al 4% fue $5,000.00.
Is 4.53 a real number?
yes or no
Answer:
yur
Step-by-step explanation:
Answer:
yeah it's a decimal so yes
Un arquitecto ha pagado en un corralón un total de $ 130 por 20 Ladrillos, 5 kg de Arena y 10 kg de Cemento. Calcular el precio de cada articulo, sabiendo que 1 kg de Cemento cuesta el triple que 1 Ladrillo y que 1 kg de Arena cuesta igual que 4 kg de Cemento más 4 Ladrillos. Siendo: número de ladrillos y: kg de arena kg de cemento
Answer:
1 ladrillo cuesta 1 dólar. 1 brick costs 1 dollars.
1 kg de cemento cuesta 3 dólares: 1 kg cement costs 3 dollars
1 kg de arena cuesta $ 16: 1 kg sand costs $ 16
Step-by-step explanation:
Spanish
Deje que los ladrillos, la arena y el cemento se denoten por b, sy c. Luego, de acuerdo con la condición dada
20b + 5s + 10c = $ 130 --- ecuación 1
1c = 3b ------ ecuación 2
1s = 4c + 4b ------ ecuación 3
Poniendo la ecuación 2 en la ecuación 3
1s = 4 (3b) + 4b
1s = 16b ---------- ecuación 4
20b + 5s + 10 (3b) = $ 130
50b + 5s = 130 --- ecuación 5
Poniendo la ecuación 4 en la ecuación 5
50 b + 5 (16b) = 130
50 b + 80b = 130
130 b = 130
b = 130/130 = $ 1 ------- ecuación a
1 ladrillo cuesta 1 dólar.
Poner el valor de costo de 1 ladrillo en estas ecuaciones
1c = 3b ------ ecuación 2
1s = 4c + 4b ------ ecuación 3
1c = 3 (1) = $ 3 -------- ecuación b
1 kg de cemento cuesta 3 dólares
1s = 4c + 4b
1 s = 4 (3) + 4 (1)
1 s = 12 + 4
1s = $ 16 ------ ecuación c
1 kg de arena cuesta $ 16
Poner valores de la ecuación a, b, c en la ecuación 1
20b + 5s + 10c = $ 130
20 (1) + 5 (16) + 10 (3) = 130
20 + 80 + 30 = 130
130 = 130 ------------ por lo tanto probado
English
Let the bricks , sand and cement be denoted by b, s and c. Then according to the given condition
20b+ 5s+ 10c= $130--- equation 1
1c= 3b------ equation 2
1s= 4c+4b------ equation 3
Putting equation 2 in equation 3
1s= 4(3b) + 4b
1s= 16b---------- equation 4
20b+ 5s+ 10(3b)= $130
50b + 5s= 130--- equation 5
Putting equation 4 in equation 5
50 b + 5 (16b) = 130
50 b+ 80b= 130
130 b= 130
b= 130/130= $1------- equation a
1 brick costs 1 dollars.
Putting the cost value of 1 brick in these equations
1c= 3b------ equation 2
1s= 4c+4b------ equation 3
1c= 3(1)= $3-------- equation b
1 kg cement costs 3 dollars
1s= 4c+4b
1s= 4(3) + 4(1)
1s= 12+4
1s= $16 ------ equation c
1 kg sand costs $ 16
Putting values from equation a, b, c in equation 1
20b+ 5s+ 10c= $130
20 (1) + 5 (16) + 10 (3)= 130
20 + 80 + 30 = 130
130 = 130 ------------ hence proved
Need help please urgent. Correct answers only no links.
Answer:
the exact answer is 314.159265359
Step-by-step explanation:
but it simplifies to 314.16
please help
if your gonna scam just leave i really need help
Answer:
x = 23
Step-by-step explanation:
The measures of the angles in a triangle add up to equal 180
That being said we can create an equation to solve for x
180 = 2x + 3x + 1 + 3x - 5
Now we solve for x using basic algebra
step 1 combine like terms
2x + 3x + 3x = 8x
1 - 5 = -4
now we have 180 = 8x - 4
step 2 add 4 to each side
-4 + 4 cancels out
180 + 4 = 184
now we have 184 = 8x
step 3 divide each side by 8
8x/8=x
184/8=23
we're left with x = 23
Solve for n: 5n - 7= -52 A. - 5 B. -9 c. - 5/45 D. 9 E. 26
Answer: n= -9
Step-by-step explanation:
5n-7=-52
5n = -52+7
5n=-45 (divide both sides)
n= -9
The shapes of the horizontal cross-sections of the cylinder below are not all
congruent.
A. True
B. False
SUBMET
Answer:
False
Step-by-step explanation:
Line d is parallel to line c in the figure below.
Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.
Which statements about the figure are true? Select three options.
Vertical angles prove that Angle 2 is congruent to angle 5.
In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
The triangles are similar because corresponding sides are congruent.
Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
Step-by-step explanation:
A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game.
Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the
outcome.
•If the result is 3 heads, the player receives +4 points.
• If the result is 2 heads, the player receives +2 points.
• If the result is anything else, the player receives -1 point.
What is the expected value of the number of points a player will receive after a turn?
=======================================================
Explanation:
H = heads
T = tails
Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.
Those 8 outcomes are:
HHHHHTHTHHTTTHHTHTTTHTTTAgain the order matters.
------------
Now let's define the following events
A = event of getting three headsB = event of getting exactly two headsC = event of getting 1 head, or getting 0 headsThere's only one way to get three heads, and that's HHH. So P(A) = 1/8.
There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.
From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.
Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:
V(A) = 4V(B) = 2V(C) = -1From here, multiply the probability values with their corresponding net values
P(A)*V(A) = (1/8)*(4) = 0.5P(B)*V(B) = (3/8)*(2) = 0.75P(C)*V(C) = (1/2)*(-1) = -0.5Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75
Each time a turn happens, we expect on average to get 0.75 points
Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.
Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.
A broker charges 70 per square foot to install windows how much does it cost to install the windows shown
I need help please!!
At a glass vase factory, 2 out of the last 20 vases produced were chipped. Considering this data, how many of the next 10 vases would you expect to be chipped?
2 out of 20 = 2/20 which reduces to 1/10 which means 1 out of every 10.
I would expect 1 out of the next 10 to be chipped.
Answer:
1
Step-by-step explanation:
A submarine started 30 feet below the surface of the water. It is now 10 feet below the surface. What integer represents the change in depth?
Answer:
-20 feet
Step-by-step explanation:
change in depth = number of feet below the surface + number of depth on the surface
Because the submarine is below surface, a value of -30 would be given
-30 + 10 = -20 feet
Brody deposited $500 into a savings account that earns 2.1% simple interest. What is the total amount in his account after 7 years?
Answer:
73.5
Step-by-step explanation:
Part/whole=percent/100
?/500=2.1%/100
500 divided by 100 is 5, so 2.1% times 5 is 10.5, which is the amount of interest made per year.
So, 10.5 times 7 is 73.5
que condiciones debe cumplir las medidas de un triangulo para que puedas asegurar que es un triangulo rectangulo
Answer:
ENGLISH
One of the angles must equal 90 degrees and the other two angles must add up to 90 degrees.
SPANISH TRANSLATION
Uno de los ángulos debe ser igual a 90 grados y los otros dos ángulos deben sumar 90 grados.
Question 14 of 15
Evaluate (3/4)x^0
Answer:
I'm not sure if this is right, but I got 3/4. (0.75 as a decimal) I hope this helps!
Step-by-step explanation:
Select all the expressions that are equivalent to 20% of 150.
Answer:
2 and 3
Step-by-step explanation:
30 is 20% of 150
I hope this helps
Have a great day
the width of a rectangle is 2 inches less than its length, and the area is 35 sq inches. what are the length and width of the rectangle?
Answer:
5 and 7
Step-by-step explanation:
Of the fifth graders in oak elementary, 6/8 are in band. What fraction of the fifth graders are not in band?
Answer:
2/8 of the fifth graders are not in band
Step-by-step explanation:
To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).
Helpppppp againnn plzzz
Answer:
x=8.17
Step-by-step explanation:
uztstskycuvkhifig
Answer:
x = 8.17
Step-by-step explanation:
We will be using pythagoras theorem:
[tex]a^{2} + b^{2} = c^{2}[/tex]
=> [tex]4.25^{2} + x^{2} = 9.21^{2}[/tex]
=> [tex]x^{2}[/tex] = 84.8241 - 18.0625 = 66.7616
=> x = [tex]\sqrt{66.7616}[/tex] = 8.17077719.. = 8.17 (3 s.f)
Use the following function rule to find f(3).
f(x) =
8
x
+ 9
f(3) =
Answer:
f(3)= 33
Step-by-step explanation:
hello :
f(x) =8x+9
put x = 3 you have : f(3) =8(3)+9 = 24 + 9 =33
Lena bought new inline skates for $44.99. The sales tax was $4.13. How much did Lena spend in all for her new inline skates?
Step-by-step explanation:
Mam nice drawing at your backside Mam nice drawing at your backside
What is the solution to follow system of equations?
x-3y=7
2x-6y=12
11. A rectangle has a diagonal of length 10 units and one side of length 6 units.
How many units long is the perimeter of the rectangle?
The required perimeter of the rectangle is 28 units.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
Let's denote the length of the rectangle as L and the width as W. We know that the diagonal of the rectangle has a length of 10 units, and we can use the Pythagorean theorem to relate the length, width, and diagonal,
L² + W² = diagonal² [= 10² = 100]
We also know that one side of the rectangle has a length of 6 units, which we can assume is the width W. Therefore, we can solve for the length L,
L² + 6² = 100
L² = 100 - 36
L² = 64
L = 8
So the length of the rectangle is 8 units.
To find the perimeter of the rectangle, we can use the formula P = 2L + 2W, where L is the length and W is the width:
P = 2(8) + 2(6)
P = 16 + 12
P = 28
Therefore, the perimeter of the rectangle is 28 units.
Learn more about rectangles here:
brainly.com/question/15019502
#SPJ2
Select the correct answer
Answer:
x = 95°
y = 147°
z = 128°
Step-by-step explanation:
z = 180 - 52 = 128°
x: first find the remaining angle in the big triangle, 180 - (45 + 50) = 85°
x = 180 - 85 = 95°
y: first find the remaining angle in the small triangle, 180 - (95 + 52) = 33°
y = 180 - 33 = 147°
Will give brainiest help please
Write the equation of the line in Slope-Intercept Form.
(-2,3),(0,-1)
I need Help please!!
A rectangular garden has an area of 84 square feet and a length of 7 feet. What is the width of the garden?
Answer:
12 ft
Step-by-step explanation:
Given data
Area= 84 ft^2
Length= 7ft
The expression for the area is
Area= L*W
substitute
84=7*W
W= 84/7
W= 12ft
Hence the width is 12 ft
Answer:12ft
Step-by-step explanation:
help
What is the domain and range of the exponential graphed below?
A.Domain: All real numbers
Range: y > -4
B.Domain: All real numbers
Range: All real numbers
C.Domain: x > 0
Range: y < -6
D. Domain: All real numbers
Range: y > 0
Answer:
B
Step-by-step explanation:
I just did the test
The range and domain of the function exists on all real values
Domain and Range of functionsDomain of a function is the value of the input of graph for which the function exists.
The range of a function is the value of the output of graph for which the function exists.
The given graph denotes an exponential function showing the arrow pointing infinitely in both directions. Hence the range and domain of the function exists on all real values
Learn more on range and domain here: https://brainly.com/question/2264373
Whats the área and circumference of a circle if the radius is 6in?
Answer:
C≈37.7in
Step-by-step explanation:
Answer:
Hello!
Area: 113.04
Circumference: 37.68
Hope this helps
Hey can yall help me
what's 9+10+2=
Answer:
21
Step-by-step explanation:
: P
Answer:
21
Step-by-step explanation:
umm that's kindergarten math-
