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  5. Period 5 Continuous Compounding And Graphing

Period 5 Continuous compounding and graphing

Authored by Kerrie Avjian

Mathematics

10th Grade

CCSS covered

Used 2+ times

Period 5 Continuous compounding and graphing
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33 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the following function an exponential growth or decay?
( Hint:  Use y=aerxy=ae^{rx}  )

f(x)=e−0.5xf\left(x\right)=e^{-0.5x}

Exponential Growth

Exponential Decay

Tags

CCSS.HSF-IF.C.8B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify  24e88e5\frac{24e^8}{8e^5}  

3e133e^{13}  

3e3e  

3e33e^3  

16e316e^3  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the following exponential equation:
34x−5=333^{4x-5}=3^3  

x = 4

x = 3

x = 2

x = -4

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

$1,225,54
$2,225.54
$22,255.40
$225.54

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Mr. T invested $15,000 in an account that pays 5% interest compounding continuously, how much is in the account after 5 years? 

$15,500.50
$19,260.38
$19,260.40
$21,500.25

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Compounded Continuously Invested $400 at a rate of 35% for 2 years.

$520.07

$805.50

$460.11

$7,643.74

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

James Harden's 6 year investment of $100,000 accrued 4.2% interest continuously.  About how much money does he expect to receive?

$128,660
$166,280
$175,335
$250,354

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