Christine o'brien, who is self-employed, wants to invest $60 comma 000 in a pension plan. one investment offers 6% compounded quarterly. another offers 5.75% compounded continuously.
a. which investment will earn the most interest in 4 years?
b. how much more will the better plan earn?
c. what is the effective rate in each case?
d. if ms. o'brien chooses the plan with continuous compounding, how long will it take for her $60 comma 000 to grow to $90 comma 000?
e. how long will it take for her $60 comma 000 to grow to at least $90 comma 000 if she chooses the plan with quarterly compounding? (be careful; interest is added to the account only every quarter.)

Use the frequency distribution, which shows the number of american voters (in millions) according to age, to find the probability that a voter chosen at random is in the 18 to 20 years old age range. ages frequency 18 to 20 5.9 21 to 24 7.7 25 to 34 20.4 35 to 44 25.1 45 to 64 54.4 65 and over 27.7 the probability that a voter chosen at random is in the 18 to 20 years old age range is nothing. (round to three decimal places as needed.)

The price of a car has been reduced from $19,000 to $11,590. what is the percentage decrease of the price of the car?

Atechnician compares repair costs for two types of microwave ovens (type i and type ii). he believes that the repair cost for type i ovens is greater than the repair cost for type ii ovens. a sample of 6767 type i ovens has a mean repair cost of $79.79$⁢79.79. the population standard deviation for the repair of type i ovens is known to be $19.18$⁢19.18. a sample of 5555 type ii ovens has a mean repair cost of $75.24$⁢75.24. the population standard deviation for the repair of type ii ovens is known to be $21.40$⁢21.40. conduct a hypothesis test of the technician's claim at the 0.050.05 level of significance. let μ1μ1 be the true mean repair cost for type i ovens and μ2μ2 be the true mean repair cost for type ii ovens. step 2 of 4 : compute the value of the test statistic. round your answer to two decimal places.