Mathematics

Solve the problem.
1) How long will it take an investment to double if it is invested at 7.8%, compounded continuously?
a) Solve the following: 31−� = 92�
b) An initial investment of $1000 is appreciated for 2 years in an account that earns 6% interest, compounded
semiannually. Find the amount of money in the account at the end of the period.
2) A company begins a radio advertising campaign in Chicago to market a new soft drink. The percentage of the
target market that buys a soft drink is estimated by the function where t is the number of days
of the campaign. After how long will 80%of the target market have bought the soft drink?
3) A certain radioactive isotope decays at a rate of 0.15% annually. Determine the half-life of this isotope, to the
nearest year.
4) The population of a small country increases according to the function where t is
measured in years. How many people will the country have after 8 years?
Find the value of the expression.
a)
Express as a single logarithm and, if possible, simplify.
b)
1 2
loga x  4loga y  3loga x
Solve the equation. Give your answer as a decimal rounded to the nearest thousandth.
c)
d)
100100 e
(.01 t )
B1900000 e
(.04 t )
lne 4
2x12
2 ln( x5 )
ln( 4 ) 1

MATH 115 Quiz 3 FA17
Solve the problem.
2) A company begins a radio advertising campaign in Chicago to market a new soft drink. The percentage of the
target market that buys a soft drink is estimated by the function where t is the number of days
of the campaign. After how long will 80%of the target market have bought the soft drink?
. a
) A certain radioactive isotope decays at a rate of 0.15% annually. Determine the half-life of this isotope, to the
nearest year
Find the value of the expression.
b)
Express as a single logarithm and, if possible, simplify.
c)
1 2
loga x  4loga y  3loga x
d)
100100 e
(.01 t )
lne 4
2 ln( x5 )
ln( 4 ) 1

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