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aksik [14]
3 years ago
11

The function f(x) = 7(1.32)x models the number, in billions, of the DNA sequences in a database x years since 2010. What does th

e 1.32 represent?
A) The annual increase rate in sequences is 32%.
B) The total increase rate in sequences since 2010 is 32%.
C) The increase rate in sequences before 2010 was 32%.
D) The starting number of sequences in 2010 was 1.32 billion.
Mathematics
1 answer:
NikAS [45]3 years ago
7 0

Answer:

The correct option is (A).

Step-by-step explanation:

The function representing the growth of number, in billions, of the DNA sequences in a database x years since 2010 is:

f(x)=7\cdot (1.32) x

The general growth function can be represented as:

y=a\cdot (1+r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time

Com-paring the two functions we get:

1+r=1.32\\r=1.32-1\\r=0.32

This implies that the annual increase rate in number, in billions, of the DNA sequences is 32%.

Thus, the correct option is (A).

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Answer:

Step-by-step explanation:

Step1: find the interval of roots. Consider -3 and -2

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f(-2) = 18 >0

Hence, the root must be on [-3,-2]

Step2:  consider the middle point -2.5

f(-2.5) = 3.875 >0

Then, the root must be on [-3, -2.5]

Step 3: Repeat step 2 by finding the value of f at the middle point -2.75

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Step 3: Repeat step 2 by finding the value of f at the middle point of the interval [-2.75,-2.5] which is -2.625

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3 years ago
One Friday night, two large groups of people called Weston Taxi Service. The first group requested 2 sedans and 1 minivan, which
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Answer:

Sedan: 4 passengers

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Step-by-step explanation:

We can write the following system of equations:

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Subtracting the first equation from the second, we have:

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Step-by-step explanation:

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