Math Test 3 Flashcards
1
Q
Formula for compound interest
A
A(t)=P(1+r/n)^nt
2
Q
P
A
Principle anount
3
Q
r
A
Annual interest rate
4
Q
P=5000, n=12, r=0.06; t=1,6
A
5308.39; 7160.22
5
Q
Formula for continuous compound interest
A
A(t)=P*e^rt
6
Q
58/1+e^x = 4
A
x= log(54/4)/-log(e)
7
Q
E^2x - 4e^x + 3 = 0
A
x=0; x=ln3
8
Q
Find the solution:
8^(2x^(2)-9)=8^(18-x^2)
A
3,-3
9
Q
Solve for x:
2log(x)=log(2)+log(4x+-6)
A
2,6
10
Q
Solve for x:
log_5(x+7)-log_5(x-7)=2
A
91/12
11
Q
Solve for x:
log_3(4)+log_3(x)=log_3(6)+log_3(x-3)
A
9
12
Q
Solve for x:
log_4(x+6)-log_4(x-6)=2
A
102/15
13
Q
Solve for x:
log_2(x)+log_2(x-7)=3
A
8
14
Q
log_5(5^6)
A
6
15
Q
log_4(64); (4 to the what power = 64?)
A
3
16
Q
log_6(216)
A
3
17
Q
lnx=5
A
x=e^5
18
Q
lne^8=x
A
x=8
19
Q
Expand:
log(sqrt(t^7))
A
7logt/2
20
Q
Evaluate:
e^(ln(sqrt13))
A
sqrt3
21
Q
Evaluate:
e^(ln(1/pi))
A
1/pi
22
Q
Evaluate:
10^(log13))
A
13