exponential growth, math homework help

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exponential growth, math homework help

Accurately and completely answer all questions. Double check all answers.

What is the domain of the exponential function below?

y equals negative 2 left parenthesis 4 right parenthesis to the power of x

All negative numbers.

All positive numbers.

All real numbers except 0.

All real numbers.

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What is the range of the exponential function below?

y equals negative 3 left parenthesis 2 right parenthesis to the power of x

All positive numbers.

All real numbers except 0.

All real numbers.

All negative numbers.

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Which of the following graphs shows the exponential function below?

y equals negative 3 left parenthesis 2 right parenthesis to the power of x

http://www.intervisualtechnology.us/data/1/16223/U9L3Q3A.jpg

http://www.intervisualtechnology.us/data/1/16224/U9L3Q3B.jpg

http://www.intervisualtechnology.us/data/1/16225/U9L3Q3C.jpg

http://www.intervisualtechnology.us/data/1/16226/U9L3Q3D.jpg

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Which of the following graphs shows the exponential function below?

y equals left parenthesis 1 fourth right parenthesis to the power of x minus 1 end exponent

http://www.intervisualtechnology.us/data/1/16227/U9L4Q3A.jpg

http://www.intervisualtechnology.us/data/1/16228/U9L4Q3B.jpg

http://www.intervisualtechnology.us/data/1/16229/U9L4Q3C.jpg

http://www.intervisualtechnology.us/data/1/16230/U9L4Q3D.jpg

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Describe the transformation of the graph y equals 2 to the power of x minus 4 end exponent plus 1 from the parent graph, y equals 2 to the power of x

translated 4 units left and 1 unit up.

translated 4 units right and 1 unit up.

translated 4 units left and 1 unit down.

translated 4 units right and 1 unit down.

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The amount g (in trillions of cubic feet) of natural gas consumed in the United States from 1940 to 1970 can be modeled by the equation below, where t is the number of years since 1940.

g = 2.91(1.07)t

Estimate the natural gas consumption in 1945.

4.12 trillion cubic feet.

4.08 trillion cubic feet

61.12 trillion cubic feet

15.57 trillion cubic feet

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Which exponential growth model would model the following situation:

You buy a commemorative coin for $105. Each year t, the value V of the coin increases by 3%

V = 105(0.03)t

V = 0.03(105)t

V = 105(1.03)t

V = 105(3)t

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The student enrollment E of a high school was 1200 in 1990 and increased by 12% per year until 1998. Which exponential growth model shows the school’s student enrollment in terms of t, the number of years since 1990?

E = 12(1200)t

E = 1200(1.12)t

E = 1200(12)t

E = 1.15(1240)t

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You deposit $1500 in a bank account. Find the balance after 2 years if the account has an interest rate of 2.5% and is compounded monthly.

$9375

$1575.94

$1576.82

$1506.27

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You want to have $3000 in your bank account after 5 years. How much should you deposit into a bank account that pays 3.25% interest compounded quarterly? Round to the nearest dollar.

$2551

$2881

$3527

$2552

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