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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