Question 1
Given the formula :
A=P(1+r/n)^n(times)t
Find the amount of money accumulated if you invested $25,000 at 4.3% interest for 8 years compounded monthly.
Answer
$25,046.18
$35,242.79
$734,122.84
None of the above
Question 2
Given the formula:
A=Pe^r(times)t
Find the amount of money accumulated if you invested $25,000 at 4.3% interest for 8 years compounded continuously.
Answer
$779,673.95
$26,098.45
$35,264.47
None of the above
Question 3
Find the inverse of:
F(x)=3x+6
Answer
y=x-6/3
y=x+6/3
y=x-2
None of the above
Question 4
Given the functions :
F(x)=2/3x-6
g(x)=3/2x+9
Determine if f(x) and g(x) are inverses of each other.
Answer
Yes, they are inverses
No, they are not inverses
Question 5
Given the functions:
F(x)=2x+4
G(x)=1/2x-4
Determine if they are inverses of each other.
Answer
Yes, they are inverses
No, they are not inverses
Question 6
Evaluate :
Log755
(Round to the nearest thousandth.)
Answer
1.740
0.486
2.059
None of the above
Question 7
Evaluate :
log17205
(Round to the nearest thousandth.)
Answer
1.879
0.532
2.312
None of the above
Question 8
Expand the following logarithm as much as possible:
Logbx^2y^3/z^4
Answer
logbx^2+logby^3-logbz^4
2logbx^2+3logby^3-4logbz^4
2logbx+3logby-4logbz
None of the above
Question 9
Expand the following logarithm as much as possible:
log xyz²
Answer
log x + log y + 2log z
(log x)(log y)(2log z)
2(log x + log y + log z)
None of the above
Question 10
Express as a single logarithm:
3logbx+5logby-1/2logbz
Answer
Logbx^3logby^5/logbz1/2
Logbx^3y^5/z1/2
Logbx^3y^5/logbz1/2
None of the above
Question 11
Express as a single logarithm:
(logbx-logby)-logbz
Answer
logb x/yz
Logb xz/y
Logb yz/x
None of the above
Question 12
Solve the equation for x : log75+log7x=1
Answer
x = 35
x = 7/5
x = 5/7
None of the above
Question 13
Find all solutions for x: log10^x+log10(x-3)=1
Answer
x = 5
x = 5 or -2
x = -5
x = 2
Question 14
Using your calculator, find log 45.3
Round to the nearest ten-thousandth.
Answer
1.6532
3.8133
1.6561
None of the above
Question 15
Using your calculator, find
Log 17/3
Round to the nearest ten-thousandth.
Answer
0.7533
1.4560
2.5789
None of the above
Question 16
Using your calculator, find in 38.5
Round to the nearest ten-thousandth.
Answer
1.5855
3.6376
3.6507
None of the above
Question 17
Using your calculator, find: In (square root) 58
Round to the nearest ten-thousandth.
Answer
4.0604
2.0302
.8817
None of the above
Question 18
Solve this exponential equation to the nearest hundredth:
2^x+1=9
Answer
x = 2.17
x = 8.00
x = 1.65
x = 3.17
Question 19
Solve this exponential equation to the nearest hundredth (using a calculator as needed)
3e^x-1=17
Answer
x = 6.00
x = 0.78
x = 1.79
None of the above
Question 20
How long will it take me to get $50,000, if I invested $5000 in an account giving me 8.7% interest, compounded continuously?
Round your answer to the nearest tenth.
Answer
11.5 years
26.5 years
0.3 years
None of the above
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