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shepuryov [24]
3 years ago
8

??????????????????????????????

Mathematics
1 answer:
Anna007 [38]3 years ago
6 0

You want to find the time <em>t</em> such that

\$1000 = \$200 e^{0.04t}

Divide both sides by $200 :

\dfrac{\$1000}{\$200} = 5 = e^{0.04t}

Take the logarithm of both sides:

\ln(5) = \ln(e^{0.04t}) = 0.04t\ln(e) = 0.04t

Divide both sides by 0.04 and solve for <em>t</em> :

t = \dfrac{\ln(5)}{0.04} \approx 40.24 \approx \boxed{40}

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What's method 2 and what is the unit rate per guest?
Bad White [126]
Seeing your method 1 answer, it seems like you forgot that 42 dollars is for 6 guests, not just 1. The unit rate is the rate per guest, and if we divide 42 by 6, we get 7dollars/1person as our unit rate. Since 7 dollars is our unit rate, we can multiply that by 72 to get 504 dollars, therefore making 500$ per night more cost effective.

Another way to do this is to do 42*72, as you did, but then dividing the final product by 6 due to that 42*72 is for 72*6=432 guests (we get the 6 since the unit rate is 7$ per person and 42/7=6). Doing that, we get 3024/6=504, which is still greater than 500
7 0
2 years ago
. A un concierto asistieron 10000 personas , lo que representó un total de
BigorU [14]

Answer:

Número de boletos general = 8000

Número de boletos preferente = 2000

Step-by-step explanation:

Total de personas = 10000 personas

Venta total = $6600000

Ecuación para la venta total en terminos de boletos vendidos:

Número de boletos general = variable g

Número de boletos preferente = variable p

$500g + $1300p = $6600000

Simplifica la ecuación:

5g + 13p = 66000

Subsituye una de las variables usando la ecuación g + p = 10000:

g + p = 10000 => g = 10000 - p

5g + 13p = 66000 => 5(10000 - p) + 13p = 66000

Aislar la variable p:

5(10000 - p) + 13p = 66000

50000 - 5p + 13p = 66000

8p = 16000

p = 16000/8 = 2000

g = 10000 - p = 10000 - 2000 = 8000

Número de boletos general = 8000

Número de boletos preferente = 2000

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B5%7D%7B27%7D%20%7D%20" id="TexFormula1" title=" \sqrt{ \frac{5}{27}
Paraphin [41]

Answer:

\sqrt\frac{15}{9}

Step-by-step explanation:

5 0
3 years ago
What is the best approximation for the measure of angle ABC?
SVETLANKA909090 [29]
Cos(x) = 10.5 / 20
cos(x) = 0.525

answer
C.
x = 58.3" 
3 0
2 years ago
4⋅f(6)−6⋅g(5) need help asap
Leto [7]

Answer:

6

Step-by-step explanation:

From the blue graph of f(x) we can see that the function value is -6 when x = 6.  Similarly, g(5) = -5.

Then:  4*f(6) - 6*g(5) becomes:

           4*(-6) - 6*(-5), or

              -24 +  30  = 6

4 0
3 years ago
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