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2 years ago

Which number is less than 3/20 A 2/11 B1/6 C 13% D 0.15

Mathematics

1 answer:

Juliette [100K]2 years ago

5 0

Answer:

13% is less than 3/20.

Step-by-step explanation:

3/20 = .15

2/11 = .18(repeating)

1/6 = 1.6(repeating)7

13% = .13

and then .15

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3 years ago

The population of California was 29.76 million in 1990 and 33.87 million in 2000. Use the model found in part a (f(x) =29.76(1.0

NeTakaya

Answer:

The average rate of change from 1990 to 1991 is $0.387 \:\frac{million}{years}$

The average rate of change from 2000 to 2001 is $0.440 \:\frac{million}{years}$

Step-by-step explanation:

The average rate of change of function f(x) over the interval $a\leq x\leq b$ is given by

$\frac{f(b)-f(a)}{b-a}$

It is a measure of how much the function changed per unit, on average, over that interval.

From the information given:

The function that models the population t years after 1990 is $f(t) =29.76(1.013)^t$
The year 1990 is t = 0 and the year 2000 is t = 10.

1. The average rate of change from 1990 to 1991 is:

The interval is $0\leq x\leq 1$

$\frac{29.76(1.013)^1-29.76(1.013)^0}{1-0}\\\\\frac{1.013^1\cdot \:29.76-1\cdot \:29.76}{1-0}\\\\\frac{0.38688}{1-0}\\\\0.387 \:\frac{million}{years}$

2. The average rate of change from 2000 to 2001 is

The interval is $10\leq x\leq 11$

$\frac{29.76(1.013)^{11}-29.76(1.013)^{10}}{11-10}\\\\\frac{0.44022}{11-10}\\\\0.440 \:\frac{million}{years}$

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2 years ago

Solve.

Lorico [155]

Answer:

10 customers.

Step-by-step explanation:

1/12 pounds of pasta = 1 customer

1 pound of pasta = 12 customers

Therefore, 5/6 pounds of pasta = 5/6 x 12

= 5 x 2

= 10 customers

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2 years ago

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