Question 1 - JustAnswer



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

1. A=final Account balance. P=Principle amount. R=annual Rate of interest. n=Number of periods per year. T=Time in years.

$1000 at 6% compounded monthly for 5 years

A = 1000(1+0.06/12)^(5*12)

A = 1000(1+0.005)^(60)

A = 1000(1.005)^60

A = 1000(1.34885)

A = 1348.85

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

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

10000 / [(1+0.06/12)^(8*12)] = p

10000 / [(1+0.005)^96] = p

10000 / [(1.005)^96] = p

1000 / 1.34885 = p

741.3723 = p

3.

429440.97 431200.96 431946.32 428647.67

5.3% monthly is the best, since it accrues the most.

4. Use one of the functions in place of the x in the other equation and see if the result is just x. If it is, then they are inverses of each other.

F(x)=7x-2

G(x) = (x-2)/7

7[(x+2)/7]-2

x+2-2

x

They are inverses.

5. Converting from Centigrade to Fahrenheit.

C = (F-32)/1.8 and F = 1.8C+32

6. Compound interest is where the interest is added to the account periodically and you can earn interest on that interest that you earned previously.

Compounding monthly is where interest is added to the account every month, and you earn interest on the interest you earned other months. Compounding continuously is a piece of mathematical fiction. Interest cannot be added to an account every moment, but a formula was derived (PErt) that will compute the balance at any point in time.

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