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3 years ago

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A band is performing at an auditorium for a fee of $1500. In addition to this fee, the band receives 30% of

1 answer:

dalvyx [7]3 years ago

7 0

Answer:

A. $R=1,500+6x,\ x\le 800$

B. 584

Step-by-step explanation:

A band is performing at an auditorium for a fee of $1500.

In addition to this fee, the band receives 30% of each $20 ticket sold. Let x be the number of tickets sold, then these x tickets cost $20x. Calculate 30% of 20x:

$20x\cdot 0.3=6x$

A. The total cost is

$R=1,500+6x$

The maximum capacity of the auditorium is 800 people, so x≤800.

B. The band needs $5,000 for new equipment so

$1,500x+6x\ge 5,000\\ \\6x\ge 3,500\\ \\x\ge \dfrac{3500}{6}\\ \\x\ge 583.333...$

So, it is enough 584 tickets to be sold.

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3 years ago

An accident at an oil drilling platform is causing a circular oil slick. The slick is 0.07 foot thick, and when the radius of th

ololo11 [35]

Answer: $43.54 ft^3/min$

Step-by-step explanation:

Given

Thickness of oil slick=0.07 foot

radius of slick=110 ft

$\frac{\mathrm{d} r}{\mathrm{d} t}=0.9 ft/s$

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rate of oil flowing is

$\frac{\mathrm{d} V}{\mathrm{d} t}=0.07\times 2\pi \cdot r\frac{\mathrm{d} r}{\mathrm{d} t}$

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3 years ago

Find the vertex, focus, and directrix of the parabola whose equation is given below. y-7=1/8(x-2)^2

VLD [36.1K]

Answer:

Step-by-step explanation:

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2 years ago

Solve for x write the exact answer using either base -10 or base-e logarithms

jeka57 [31]

<u>Given</u>:

The given expression is $2^{x+5}=13^{2 x}$

We need to determine the value of x using either base - 10 or base - e logarithms.

<u>Value of x:</u>

Let us determine the value of x using the base - e logarithms.

Applying the log rule that if $f(x)=g(x)$ then $\ln (f(x))=\ln (g(x))$

Thus, we get;

$\ln \left(2^{x+5}\right)=\ln \left(13^{2 x}\right)$

Applying the log rule, $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$ , we get;

$(x+5) \ln (2)=2 x \ln (13)$

Expanding, we get;

$x \ln (2)+5 \ln (2)=2 x \ln (13)$

Subtracting both sides by $5 \ln (2)$ , we get;

$x \ln (2)=2 x \ln (13)-5 \ln (2)$

Subtracting both sides by $2 x \ln (13)$ , we get;

$x \ln (2)-2 x \ln (13)=-5 \ln (2)$

Taking out the common term x, we have;

$x( \ln (2)-2 \ln (13))=-5 \ln (2)$

$x=\frac{-5 \ln (2)}{\ln (2)-2 \ln (13)}$

$x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}$

Thus, the value of x is $x=\frac{5 \ln (2)}{2 \ln (13)-\ln (2)}$

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3 years ago

Brainlist for best answer and 100 points

dexar [7]

Well, $920 multiplied by .15 would equal 138 and
since 138 divided by 138 would equal 920. 15% of his income aka $138 would go towards his taxes.
Hope this helped!
have a great day! (:

8 0

3 years ago

Read 2 more answers