Solve the following equations of value.

a) Paula wants to accumulate $16,000 at the end of 7 years by investing

continuously over the period at payment rate $X per year. Find the smallest

value for X that will achieve Paulas goal using = .

b) On January 1, 2018 Will invests $10,000 to an account paying a 3.6% real

return.

i) Find Wills AV on December 31, 2019 given inflation of 2.27% in 2018

and 1.95% in 2019.

ii) Find the inflation rate in 2020 if Wills accumulated value on December

31, 2020 is $11,450.

c) Helen invests $600 every 3 months into an account paying /span>(-) = 7%. When

will her account balance be at least $10,000?

Actuarial Science need steps, thanks!