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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