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Nataliya [291]
2 years ago
3

Two different businesses model their profits over 15 years, where x is the year, f(x) is the profits of a garden shop, and g(x)

is the profits of a construction materials business. Use the data to determine which function is exponential, and use the table to justify your answer. x f(x) g(x) 1995 $69,682.50 $72,429.27 2000 $78,943.50 $79,967.77 2005 $88,204.50 $88,290.88 2006 $90,056.70 $90,056.70 2007 $91,908.90 $91,857.83 2010 $97,465.50 $97,480.27 f(x) is exponential; an exponential function increases more slowly than a linear function. f(x) is exponential; f(x) increased more overall than g(x). g(x) is exponential; g(x) has a higher starting value and higher ending value. g(x) is exponential; an exponential function increases faster than a linear function.
Mathematics
1 answer:
Vsevolod [243]2 years ago
7 0

Answer:

its g(x) is exponential; an exponential function increases faster than a linear function. I got it right.

Step-by-step explanation:

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Hmm... well, here ya go. 

1.50 ÷ 0.05 = 30 
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Hope I helped.  
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Answer:

i think its A and D

Step-by-step explanation:

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The number of calls coming per minute into a hotel reservation center is Poisson random variable with mean 3.
natima [27]

Answer:

a) 0.05

b) 0.9826

c) 0.000039308

Step-by-step explanation:

a) P_X(0) = \frac{e^{-3}3^0}{0!} = e^{-3} =  0.05

b) For two minutes, the mean is doubled, hence it is 6. In order to calculate the probability of al least two calls arriving, we calculate first the probability of the complementary event: At most 1 call will arrive. For that probability, we need to sum the probabilities of 0 and 1.

P_X(0) = e^{-6}

P_X(1) = \frac{e^{-6}*6^1}{1!} = 6*e^{-6}

Hence,

P(X \geq 2) = 1-P(X < 2) = 1- 7*e^{-6} = 0.9826

c) For five minutes the mean is 15. We need to sum the probabilities of 0, 1 and 2.

P_X(0) = e^{-15}

P_X(1) = e^{15}*15

P_X(2) = \frac{e^{-15}*15^2}{2!} = 112.5*e^{-15}

As a result,

P(X \leq 2) = e^{-15}(1+15+112.5) = 0.000039308

Practically 0

4 0
2 years ago
It cost Naomi $7.70 to send 154 text messages. How many text messages did she send
s2008m [1.1K]

You have to find the unit rate

SO..

7.70 / 154 = 0.05

So it cost her 0.05 cents for each text.

So then you divide $ 5.25 by the unit rate to get the number of text

5.25 /0.05 = 105

so she sent 105 text

To check it you just multiply the unit rate by the number of text you got and you show come up with $ 5.25

0.05 x 105 = 5.25

4 0
2 years ago
Javier deposited $250 into a savings account with an interest rate of 1.6%. He made no deposits or withdrawals for 9 months. If
11Alexandr11 [23.1K]

Answer:

A = 250(1 + 0.016)^0.75.

Step-by-step explanation:

9 months = 0.75 years

So A = 250(1 + 0.016)^0.75.

4 0
2 years ago
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