Math Test 3 Flashcards by Friday Boyer | Brainscape

Q

Formula for compound interest

A

A(t)=P(1+r/n)^nt

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Q

P

A

Principle anount

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Q

r

A

Annual interest rate

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Q

P=5000, n=12, r=0.06; t=1,6

A

5308.39; 7160.22

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Q

Formula for continuous compound interest

A

A(t)=P*e^rt

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Q

58/1+e^x = 4

A

x= log(54/4)/-log(e)

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Q

E^2x - 4e^x + 3 = 0

A

x=0; x=ln3

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Q

Find the solution:
8^(2x^(2)-9)=8^(18-x^2)

A

3,-3

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Q

Solve for x:
2log(x)=log(2)+log(4x+-6)

A

2,6

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Q

Solve for x:
log_5(x+7)-log_5(x-7)=2

A

91/12

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Q

Solve for x:
log_3(4)+log_3(x)=log_3(6)+log_3(x-3)

A

9

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Q

Solve for x:
log_4(x+6)-log_4(x-6)=2

A

102/15

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Q

Solve for x:
log_2(x)+log_2(x-7)=3

A

8

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Q

log_5(5^6)

A

6

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Q

log_4(64); (4 to the what power = 64?)

A

3

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Q

log_6(216)

A

3

Q

lnx=5

A

x=e^5

Q

lne^8=x

A

x=8

Q

Expand:
log(sqrt(t^7))

A

7logt/2

Q

Evaluate:
e^(ln(sqrt13))

A

sqrt3

Q

Evaluate:
e^(ln(1/pi))

A

1/pi

Q

Evaluate:
10^(log13))

A

13