the table gives a total U.S expenditure for health services andsupplies selected years from 2000 and projected to 2018.
year $(billion)
2000 1264
2002 1498
2004 1733
2006 1976
2008 2227
2010 2458
2012 2746
2014 3107
2016 3556
2018 4086
a. find an exponential function model to these data, with xequal to the number of years after 2000. b) use the model toestimate the U.S expenditure for health services and supplies in2020.
2.The percent of boys age x or younger who have been seuallyactive are given below.
Age cumulative percent seuual active girls cumulative percentsexual active boys
15 5.4 16.6
16 12.6 28.7
17 27.1 47.9
18 44.0 64.0
19 62.9 77.6
20 73.6 83.0
a). Creat a logarithmic function that model the data using aninput equal to the age of the boys.
b) use the model to estimate the percent of boys age 17 oryounger who have been seually active
c. compare the percent that are sexually active for the twogenders, what do you conclude.
3). if $12000 is invested in an account that pays 8% interest,compounded quaterly, find the future value of this investment
a) after 2 year. b) after 10 years.
4).if $9000 is invested in an account that pays 8% interest,compounded quaterly . find the future value of this investment
a) after 0.5 year b)after 15 years
5. Grandparents decide to put a lump sum of money into a trustfund on their gtanddaughters 10th birthday so that she will have$1000000 on her 60th birthday. if the fund pays 11% compoundedmonthly. how much money must they put in the account.
6.At the end of t years the future value of an investment of$25000 in an account that pays 12% compounded quaterly is
S=25000(1+0.12 /4t )^4t dollars.. a) How many years will theinvestment amount to $60000.
