Answer:
92
Step-by-step explanation:
Applying the formula for the exponential growth model, the growth rate is 0.046447277776453351798354258063923
the exponential growth is a data pattern that illustrates an increase over time by generating an exponential function curve.
The exponential growth model can be expressed as:
P(t) = P(0) x e^(k.t)
Where:
P(t) = Value at time t
P(0) = Initial value
k = growth rate
Information from the problem:
P(0) = 491,675
P(t) = 782,341
t = 2010 - 2000 = 10 years
Substitute the data into the formula:
782,341 = 491,675 x e^{10k}
e^{10k} = 782,341 / 491,675
10 k . ln e = ln (782,341 / 491,675)
10 k = 0.46447277776453351798354258063923
k = 0.046447277776453351798354258063923
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The sample space (list of outcomes) is:
DFNR; DFRN; DRFN; DRNF; DNFR; DNRF;
NFDR; NFRD; NRFD; NRDF; NDRF; NDFR;
RFDN; RFND; RNFD; RNDF; RDFN; RDNF;
FRDN; FRND; FNRD; FNDR; FDRN; FDNR
P(Dave beside Natalie) = 1/2
P(B,G,B,G or G,B,G,B) = 1/3
P(boys in the middle) = 1/6
P(Frida beside Natalie) = 1/2
P(Robbie between Frida & Natalie) = 1/6
P(Natalie between Dave & Robbie) = 1/6
Explanation
Letting D=Dave, R=Robbie, N=Natalie, and F=Frida you get the list of possibilites above.
For P(Dave beside Natalie), look for DN or ND. This appears 12 times out of the 24 possibilities above; 12/24 = 1/2.
For P(B,G,B,G or G,B,G,B), we have the possibilities DFRN, DNRF, RFDN, RNDF, FRND, FDNR, NDFR, NRFD. There are 8 possibilites out of 24; 8/24 = 1/3.
For P(Frida beside Natalie), look for NF or FN. This appears 12 times out of the 24 possibilities; 12/24 = 1/2.
For Robbie between Frida and Natalie, look for FRN or NRF. This appears 4 times out of 24; 4/24 = 1/6.
For Natalie between Robbie and Dave, look for RND or DNR. This appears 4 times out of 24; 4/24 = 1/6.
The expression that represents the number of reams of paper produced in the second year is 4.704 x 
(option d)
<h3>What is the expression that represents the reams produced in the second year. </h3>
The quantity of paper produced in the first year is written in scientific notation. Scientific notation is used to compress larger numbers into smaller numbers.
In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
For example, The number 5 x 10³ is equivalent to 500
Paper produced in the second year = paper produced in the first year x 5.6
(8.4 x 
) x 5.6 = 47.04 x
4.704 x 
= 4.704 x
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