Continuously Compounding

Use desmos.com or a graphing calculator to evaluate e^1.7 to 4 decimal places.

• 5.4739

• 4.6211

• 2.7183

• 4.8929

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CCSS.HSF.LE.A.4

Use the systems of equations method to determine the solution of this equation.
 $e^{\left(x-9\right)}=74$  

• x = 4.7

• x = 13.3

• x = -1.2

• x = -15.47

Without graphing, tell if the function below is growth or decay.

 $y=4e^{3x}-2$  

• Growth

• Decay

Sodium-22 is a manmade radioactive isotope that decays over time. The graph shows the amount of Sodium-22 remaining over time. How much Sodium-22 was there initially?

(a)  

Based on the Soduim-22 decay table, approximately how much is remaining after 5 years?

• 1

• 5

• 10

• 20

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CCSS.HSF.LE.A.4

Based on the Soduim-22 decay table, approximately how much is remaining after 10 years?

• 1

• 5

• 10

• 20

Tags

CCSS.HSF.LE.A.4

You deposit $5,000 in an account that earns 3% interest compounded continuously. Which equation could be used to determine how much money would be in the account after 8 years?

• $A=5000e^{3\cdot8}$

• $A=5000e\cdot3\cdot8$

• $A=5000e\cdot0.03\cdot8$

• $A=5000e^{.03\cdot8}$

You deposit $5,000 in an account that earns 3% interest compounded continuously. How much money would be in the account after 8 years? Round your answer to the nearest hundredth.

(a)  

You deposit $5,000 in an account that earns 3% interest compounded continuously. How long will it take for your account to double. Round to the nearest year.

(a)  

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CCSS.HSF.LE.A.4