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Lorico [155]
2 years ago
14

In 1995, the total box office in U.S movie theaters was about $5.02 billion. From 1995 through 2008, the box office revenue incr

eased by about 5.9% per year. What was the total box office revenue for the entire period from 1995 - 2008?
Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
6 0

Answer:

1.06 x 10^{10} (3sf)

Step-by-step explanation:

using compound interest formula A = P(1+\frac{R}{100}) ^{n}

from 95 to 08 is 13 yrs

Total Revenue = (5.02 x 10^{9})(1 + \frac{5.9}{100}) ^{13} = 1.057 x 10^{10}

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If I make 11.50 an hour working full time (40 hours a week) how much money do i make a year after deducting 60 dollars of taxes
Kazeer [188]
Given:
hourly rate = 11.50
hours worked in a week = 40 hours
taxes per moth = 60

Every month may be 4 weeks or 5 weeks but we know that 1 year has 52.1429 weeks.

Let us compute for the whole year:

Earnings:
11.50 /1 hour * 40 hours/1week * 52.1429 weeks/1year  
= 11.50 * 40 *  52.1429/year
= 23,985.734 per year

Taxes:
60 / per month * 12 months / 1 year
= 60 * 12/year
= 720 per year

Net earning per year
23,985.734 - 720 = 23,264.734 

Net earning per month
23,264.734 ÷ 12 months = 1,938.81 

You will earn 23,264.73 annually from a monthly earning of 1,938.81
7 0
3 years ago
If ABC and GEF are congruent, the value of x is and the value of y is
luda_lava [24]

Answer:

The value of x is 10, and the value of y is 6

Step-by-step explanation:

ABC and GEF are congruent

so

x - 8 = 2

x = 10

x - y = 4

10 - y = 4

y = 10 - 4

y = 6

Answer

x = 10, y = 6

3 0
3 years ago
Read 2 more answers
What is 5.27 × 1021 expressed in standard notation?
Strike441 [17]
The standard notation would be 5,380.67. Hope this helps!<span />
5 0
3 years ago
Read 2 more answers
Line EF has an equation of a line y = −2x + 7. Which of the following could be an equation for a line that is perpendicular to l
Ksju [112]

Answer:

  y = 1/2x -3

Step-by-step explanation:

The slope of the given line is the x-coefficient: -2. The slope of the perpendicular line is the negative reciprocal of this:

  -1/(-2) = 1/2

The only answer choice with a slope of 1/2 is ...

  y = 1/2x -3

3 0
3 years ago
A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par
sasho [114]

The velocity of the particle is given by

v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du

Since a(t)=-4\sin2t and v(0)=7, we get

\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2

\implies v(t)=2\cos2t+5

Similarly, the position function is obtained via

x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du

We know v(t) and we're told that x(0)=0, so

\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t

\implies x(t)=\sin2t+5t

making the answer A.

3 0
2 years ago
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