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3 years ago

11

If a auditorium has 850 seats tickets were sold for 816 of the seats of the seats for what percent of the seats were tickets sol

d

1 answer:

Sonja [21]3 years ago

8 0

It's 96%

816/850 = 0.96, which is 96%

Hope I helped! ( Smiles )

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How can 3.7 = x + (negative 5) be solved for x in one step?

Nesterboy [21]

Answer:

add five to 3.7

Step-by-step explanation:

aka 3.7+5=x

8.7=x

i think

3 0

2 years ago

Read 2 more answers

Debra borrowed $8000 at a rate of 18% compounded semiannually. Assuming she makes no payment, how much will she owe after 9 year

Marina CMI [18]

Answer:

She owe $37736.96 after 9 years .

Step-by-step explanation:

Debra borrowed $8000 at a rate of 18% compounded semiannually

We are supposed to find how much will she owe after 9 years

Principal = 8000

Rate of interest = 18% =0.18

No. of compounds per year = 2

Time = 9 years

Formula : $A= P(1+\frac{r}{n})^{nt}$

Substitute the values in the formula :

$A= 8000(1+\frac{0.18}{2})^{2 \times 9}$

A= 37736.96

Hence She owe $37736.96 after 9 years .

5 0

2 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

Research results showed that experimental Drug R had a minimal to modest effect in reducing the symptoms of generalized anxiety

Angelina_Jolie [31]

Answer:

The variable that may change in response to the increase of the drug is the GAD symptoms by a 37,5%.

Step-by-step explanation:

According to the results of the first experiment with a mass of 200 mg of Drug R, they obtain a reduced of the GAD symptoms by a 25 percent evidenced by the Hamilton Anxiety Scale.

If they decided to increase the mass of Drug R to 300 mg the results expected are a increase of the porcentange of the reduced symptoms of generalized anxiety disorder, according to the tendence of the first hypothesis and the Hamilton Anxiety Scale.

We can express this increase by using the three simple rule. Where if 200 mg of Drug R reduced the 25% of the GAD symptoms, if we increase to 300 mg of Drug R how much porcentage this amount will be reduced.

Doing the maths 300mg × 25%=7500mg%,

⇒ 7500mg% ÷ 200mg = 37,5%.

<u>In conclusion</u> if they increased the mas of Drug R to 300 mg they will be reduced the generalized anxiety disorder (GAD) to a 37,5%.

3 0

3 years ago

Mark buys a used car for $12,000. The value of the car depreciates 10% per year from the time he bought the car.

timama [110]

Answer:

option D

Step-by-step explanation:

r = 10% = 0.10

$v(t) = P (1 - r)^t\\\\V(t) = 12000(1 - 0.10)^t\\\\V(t) = 12000\times (0.9)^t$

4 0

2 years ago