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aleksklad [387]
3 years ago
8

Use the table provided to find an exponential model ƒ(x) = abx, where ƒ is the population of Florida, and the input is the numbe

r of years since 2004. Approximate to the thousandth’s place.
ƒ(x) = 17,385,430 • (1.023)x

ƒ(x) = 17,789,864 • (1.023)x

ƒ(x) = 17,385,430 • (0.977)x

ƒ(x) = 17,385,430 • (0.023)x

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:  F(x) = 17,385,430 (1.023)^x

Step-by-step explanation:

Here, The function that describes the population of Florida after x years,

F(x) = ab^x   -------- (1)

Where a is the initial population of Florida and b is the growth factor.

Since, according to the table a =  17,385,430 and f(x) =  17,789,864

When x= 1

Thus, from equation (1),

17,789,864 = 17,385,430( b)^1

⇒ b = 17,789,864/ 17,385,43= 1.0232628126≈ 1.023

By Putting the values of a and b in equation (1),

Required function is, F(x) = 17,385,430 (1.023)^x


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12x12=144 doughnuts

Step-by-step explanation:

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What is 300/250 in simplest form
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Consider the function f(x) = 20/√x and its second-degree polynomial P2 (x) = 20 - 10(x-1) + 7.5(x-1)^2 at x=0.8. Compute the val
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Answer:

f (0.8) = 22.3607 and P_{2} (0.8) = 22.300.

Step-by-step explanation:

According to the statement, f (x) = \frac{20}{\sqrt{x}}  and  P_{2}(x) = 20 - 10 (x-1) + 7.5 (x-1) ^ 2. Based on these definitions, at x=0.8 produce:

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3 0
3 years ago
A​ student's course grade is based on one midterm that counts as 5​% of his final​ grade, one class project that counts as 25​%
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Answer:

His overal final score is 81.2. His letter grade is a B.

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Weighed average:

The sum of all values multiplied by it's weight. The weight is a proportion(a value between 0 and 1).

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Score of 72 on the midterm, which counts 5%.

Score of 83 on the project score, which counts 25%.

Score of 91 on homework assignments, which counts 35%.

Score of 74 on the final exam, which counts 35%.

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G = 72*0.05 + 83*0.25 + 91*0.35 + 74*0.35 = 82.1.

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At least 80 but less than 90 is a​ B

So his letter grade is a B.

7 0
3 years ago
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