In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store. He marked down DVD players by 36%, and he marked down stereo tuners by 22%. If DVD players cost $41.60 after the markdown and stereo tuners cost $69.42 after the markdown, which item’s price was reduced by more, and by how many dollars more was it reduced? Round all dollar values to the nearest cent.
Answers
Answer:
a) Which item’s price was reduced by more, and by how many dollars more was it reduced?
The DVD player's price was reduced more by $3.82 than the stereo tuner's price.
b) Round all dollar values to the nearest cent.
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
The DVD player's price was reduced by 382 cents more than the stereo tuner's price
Step-by-step explanation:
Lets day the original price of the DVD player was $100
We are told the price was marked down to 36%
36% of $100 = $36
$100 - $36 = $64
We are told the DVD cost $41.60 after the markdown.
Original cost of DVD =
$41.60/$64 × 100 = $65
Lets the original price of the Stereo player was $100
We are told the price was marked down to 22%
22% of $100 = $22
$100 - $22 = $78
We are told the DVD cost $69.42 after the markdown.
Original cost of Stereo =
$69.42/$78 × 100 = $89
DVD = $65 - $41.60 = $23.40 less
Stereo = $89 - 69.42 = $19.58 less
Difference between the DVD and the Stereo is
$23.40 - $19.58 = $3.82
Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
Answer:
The answer is A on edg 2020
Step-by-step explanation:
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A tangent-tangent angle intercepts two arcs that measure 135 degrees and 225 degrees. What is the measure of the tangent tangent angle?
Darin wrote 1 1/3 as a sum of three fractions.None of the fractions had a denominator of 2.What fractions might Darin have used?
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(20y - 11)
(4y +6) AP
(7y - 7)
Answers
Answer:
The measure of arc ABC is 283°.
Step-by-step explanation:
We know that the whole arc is equal to 360°, that means
Where ,
and
. Replacing these expressiones, we have
But, arc ABC is defined by the sum of arcs AB and BC:
Therefore, the measure of arc ABC is 283°.
Answer:
Arc measure of ABC is 283°
Step-by-step explanation:
We know the total angle of the circle is 360°.
Therefore,
(20y - 11) + (4y +6) + (7y - 7) = 360°
Collecting like terms, we have:
20y + 4y + 7y = 360 + 7 - 6 + 11
31y = 372
Let's divide both sides by 31.
y = 12
The arc measure of ABC is the sum of AB and BC. To find the arc measure of ABC, we have:
(4y +6) + (20y - 11)
Collecting like terms, we have:
4y + 20y + 6 - 11
24y - 5
Let's substitute 12 for y
24(12) - 5
288 - 5 = 283°
Arc measure of ABC is 283°
solve for p.
Answers
Answer: The required solution for p is
Step-by-step explanation: We are given to solve the following equation for the unknown variable p :
To solve the given equation for p, we must find the value of p in terms of D.
From equation (i), we have
Thus, the required solution for p is
11/5p=D+33
p=5/11D+15
the height of the previous bounce. Let n = bounce number. Before the ball is
dropped, n = 0, because the ball has not yet bounced. Which explicit formula
represents the height of the ball after n bounces?
Answers
Final answer:
The height of the ball after n bounces is given by the formula a_n = 12 * 0.75^(n - 1). This formula represents a geometric sequence where each height is 75% of the previous height.
Explanation:
The height the bouncy ball reaches after each bounce is a geometric sequence, where each subsequent height is found by multiplying the previous height by the common ratio, 75%, or 0.75. The initial term is the original height from which the ball is dropped, which is 12 meters.
The explicit formula for a geometric sequence is a_n = a_1 * r^(n - 1). Replacing a_1 with 12 (the initial height), r with 0.75 (the common ratio), and n with the bounce number, the explicit formula to find the height of the ball after n bounces is a_n = 12 * 0.75^(n - 1).
Learn more about Geometric Sequence here:
#SPJ3
Answer:
Max. height following bounce # n is 12(¾)n because each prior height is multiplied by three fourths.
Step-by-step explanation: it jus is
Answers
Answer:
C = 4x + 2000 es la ecuación
El costo de los rodamientos de soporte 950 es de $ 5,800
Step-by-step explanation:
Esperamos una gráfica lineal de costo contra el número de rodamiento de respaldo.
Un punto en este diagrama tendrá una representación como (número de demoras, costo)
Ahora, a partir de la pregunta, podemos identificar dos puntos; (300,3200) y (700,4800)
Generalmente, la ecuación de una línea recta tiene la forma
y = mx + c
donde m es la pendiente y c es la intersección en y
Lo que esto significa en esta línea es que tenemos dos cosas para calcular, que es la pendiente de la línea y la intersección de la línea. Usando los dos puntos podemos calcular estos.
matemáticamente, la pendiente se puede calcular como;
tenemos m = (4800-3200) / (700-300) = 1600/400 = 4
Como conocemos la pendiente, el modelo lineal ahora se convierte en
y = 4x + c
Para obtener el valor de la intersección con el eje y, podemos usar cualquiera de los dos puntos. Digamos que queremos usar el primer punto (300,3200)
3200 = 4 (300) + c
3200 = 1,200 + c
c = 3200-1200
c = 2000
Así la ecuación se convierte
y = 4x + 2000
Ahora usemos los parámetros definidos en la pregunta, tenemos;
C = 4x + 2000
donde C es el costo yx es el número de rodamientos de soporte
Ahora queremos calcular el costo de 950 rodamientos
Simplemente usamos la ecuación que hemos modelado donde en este punto, x = 950
C = 4 (950) + 2000
C = $ 5,800
Answers
4d-7=25/4
Add 7 to both sides
4d-7+7=25/4 +7
4d=53/4
Divide both sides by 4
4d/4= 53/4/4
d= 53/16
I hope that's help:0