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Category > Math Posted 20 Apr 2017 My Price 8.00

A local bank advertises that it pays interest

Can you please assist me with the answer to the attach exercise.

 

 

Q1. The function f(x) = 1 + 1.6 ln (x+1) models the average number of free-throws a
basketball player can make consecutively during practice as a function of time, where x is
the number of consecutive days the basketball player has practiced for two hours. After
how many days of practice can the basketball player make an average of 6 consecutive free
throws?
a. 24 days
b. 80 days
c. 22 days
d. 78 days
Q2. pH = -log10[H+] Find the [H+] if the pH = 8.4.
a. 3.98 x 10-8
b. 2.51 x 10-8
c. 3.98 x 10-9
d. 2.51 x 10-9
Q3. A local bank advertises that it pays interest on savings accounts at the rate of 3%
compounded monthly. Find the effective rate. Round answer to two decimal places.
a. 3.44%
b. 3.40%
c. 36%
d. 3.04%
Q4. Change the exponential expression to an equivalent expression involving a logarithm.
ex = 25
a. log 25 x = e
b. log x e = 25
c. ln x = 25
d. ln 25 = x
Q5. The half-life of silicon-32 is 710 years. If 100 grams is present now, how much will be
present in 600 years? (Round your answer to three decimal places.)
a. 0
b. 0.286
c. 94.311
d. 55.668
Q6. Express y as a function of x. The constant C is a positive number.
ln y = ln 4x + ln C
a. y = 4Cx b. y = 4x + C
c. y = (4x)C
d. y = x + 4C
Q7. What annual rate of interest is required to triple an investment in 12 years?
a. 4.794%
b. 9.587%
c. 9.155%
d. 5.946%
Q8. Change the exponential expression to an equivalent expression involving a logarithm.
5x = 125
a. log125 x = 5
b. log5 125 = x
c. log125 5 = x
d. logx 125 = 5
Q9. Find the amount that results from the investment.
$480 invested at 16% compounded quarterly after a period of 4 years
a. $864.45
b. $419.03
c. $869.11
d. $899.03
Q10. Change the logarithmic expression to an equivalent expression involving an exponent. ln = -6
a. e-6 =
b. -6 =e c. -6e =
d. e Q11. If 7-x = = -6 , what does 49x equal? a. 4
b. 16
c. -16
d. -4
Q12. Solve for pH: pH = -log10[H+] Find the pH if the [H+] = 9.6 x 10-6.
a. 6.02
b. 5.02
c. 6.98
d. 5.98
Q13. Solve the equation.
log327 = x
a. {81}
b. {9}
c. {3}
d. {30}
Q14. The function A = Aoe-0.0099x models the amount in pounds of a particular radioactive
material stored in a concrete vault, where x is the number of years since the material was
put into the vault. If 400 pounds of the material are initially put into the vault, how many
pounds will be left after 40 years?
a. 350 pounds
b. 269 pounds
c. 114 pounds
d. 119 pounds
Q15. Find the amount that results from the investment.
$1,000 invested at 9% compounded annually after a period of 8 years
a. $1828.04
b. $1992.56
c. $2171.89
d. $992.56
Q16. The half-life of a radioactive element is 130 days, but your sample will not be useful to
you after 80% of the radioactive nuclei originally present have disintegrated. About how
many days can you use the sample?
a. 302 b. 287
c. 312
d. 297
Q17. Solve the equation.
log3x + log3(x - 24) = 4
a. {-3, 27}
b. {27}
c. No real solutions
d. {53}
Q18. Express as a single logarithm.
40 log5 + log5(40x6) - log5 40 a. log5 x14/5
b. log5 x14
c. log5 x13/6
d. log5 x11/8
Q19. If the following defines a one-to-one function, find the inverse.
{(6, 6), (12, 7), (10, 8), (8, 9)}
a. {(7, 6), (9, 10), (6, 10), (7, 8)}
b. {(7, 6), (6, 10), (6, 12), (7, 8)}
c. Not a one-to-one function
d. {(6, 6), (7, 12), (8, 10), (9, 8)}
Q20. Find the effective rate of interest.
50.11% compounded daily
a. 50.233%
b. 51.015%
c. 50.315%
d. 64.997%

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(11)
Status NEW Posted 20 Apr 2017 04:04 AM My Price 8.00

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file 1492661507-Solutions file 2.docx preview (51 words )
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