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exis [7]
3 years ago
9

The area of a pentagon increased by 27 is the same as four times the area of the pentagon, minus 15. What is the area of the pen

tagon?
Mathematics
1 answer:
aleksklad [387]3 years ago
5 0
Equation
a + 27 = 4a - 15
3a - 15 = 27
3a = 42
a = 14
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Step-by-step explanation:

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A new DVD is available for sale in a store one week after its release. The cumulative revenue,
ratelena [41]

Answer:

f(2) = $180.22

f'(2) = $130.00/week

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Two weeks after the DVD was released,  the revenue from sales is $180.22 and is increasing at a rate of $130 per week,  or 72.13% per week.

Step-by-step explanation:

The revenue from sales, in dollars, as a function of time, in weeks, is given by:

f(t)=260ln(t)

After two weeks (t=2), the revenue from sales is:

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The rate of change, which is given by the derivate of the revenue function, at t = 2 weeks is:

f'(t)=\frac{d}{dt} 260ln(t)\\f'(t) = \frac{260}{t}\\f'(2) = \frac{260}{2}=\$130.00/week

The relative rate of change is:

\frac{f'(2)}{f(2)}=\frac{130}{180.22}=0.7213=72.13\%

Therefore, Two weeks after the DVD was released,  the revenue from sales is $180.22 and is increasing at a rate of $130 per week,  or 72.13% per week.

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If 3 oranges cost $1.75, how much would 18 oranges cost?
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$7.45

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