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3 years ago

Tyrone and Terri both bought sofas with installment loans. Tyrone bought a sofa with a

Mathematics

1 answer:

Minchanka [31]3 years ago

6 0

Answer:

Tyrone paid the higher markup rate.

Step-by-step explanation:

Tyrone and Terri both bought sofas with installment loans.

Tyrone bought his own with a sticker price of $1350 by paying $74 a month for 24 months. Therefore,

74 × 24 = $1776

The mark up = $1776 - $1350 = $426

Tyrone markup rate = 426/24 = $17.75 per month

Terri bought his own with sticker price of $950 by paying $52 a month for 24 months. Therefore,

52 × 24 = $1248

mark up = $1248 - $950 = $298

Terri markup rate = 298/24 = $12.4166666667 = $12.42 per month

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What is the length of an arc given that the measure of the central angle is 30 degree and the radius is 7 cm?

pogonyaev

La longitud del arco (s) en una circunferencia, conociendo el radio (r) y el ángulo (θ) que forman los dos radios, es:

s = r∙θ

Con el ángulo en radianes

F V7 w7 :

4 0

3 years ago

You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

bonufazy [111]

Answer:

a) The demand function is

$q(p) = -4 p + 107$

b) The nightly revenue is

$R(p) = -4 p^2 + 107 p$

c) The profit function is

$P(p) = -4 p^2 + 133.75 p - 939$

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

Step-by-step explanation:

a) Lets find the slope s of the demand:

$s = \frac{79-43}{7-16} = \frac{36}{-9} = -4$

Since the demand takes the value 79 in 7, then

$q(p) = -4 (p-7) + 79 = -4 p + 107$

b) The nightly revenue can be found by multiplying q by p

$R(p) = p*q(p) = p*( -4 p + 107) = -4 p^2 + 107 p$

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

$P(p) = R(p) - C(p) = p*q(p) = -4 p^2 + 107 p - (-26.75p + 939) = \\\\-4 p^2 + 133.75 p - 939$

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

$r_1, r_2 = \frac{-133.75 \,^+_-\, \sqrt{133.75^2-4*(-4)*(-939)} }{-8} = \frac{-133.75 \,^+_-\, 53.526}{-8} \\r_1 = 10.03\\r_2 = 23.41$

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

7 0

3 years ago

. The larger of two numbers is 7 less than twice the

Ganezh [65]

Answer:

x = 2y - 7

x + y = 47

substitute x

2y - 7 + y = 47

3y = 54

y = 18

x = 2x18 - 7

x = 29

4 0

3 years ago

Seven friends went out to lunch. The meal subtotal was $91.22, including tax. The restaurant has a policy that for parties of si

vlada-n [284]

Answer:

$ 74.80

Step-by-step explanation:

The subtotal cost of the meal was $91.22 including tax.

The 18% tip is added for six or more.

The tip added should reduce the meal subtotal by 18 %

Reduce $91.22 by 18% to get ;

82/100 * 91.22 = $ 74.80

7 0

3 years ago

The width of a rectangle is 8cm less than it's length. The perimeter of the rectangle is 52 Cm.

weqwewe [10]

52=2w+2l
52=2(l-8)+2l
52=2l-16+2l
52=4l-16
36=4l
l=9

5 0

3 years ago