Angela made an $180-$day investment arrangement involving two consecutive $90$ day $$100,000$ bank bills. The maturity proceeds of the first bill will be used to purchase the second bank bill. The remain surplus cash after $90$ days will be invested at $2\mathrm{.}128\%$ p$.$a$.$ simple interest rate. The yield rate of first bank bill is $2\mathrm{.}457\%$ p$.$a$.$ simple interest rate and the yield rate of second bank bill is $2\mathrm{.}719\%$ p$.$a$.$ simple interest rate.

a$)$ What is price of first bank bill? Round your answer to three decimal places.

Question $3$Answer

a$.$

$99334\mathrm{.}027$

b$.$

$99394\mathrm{.}164$

c$.$

$99478\mathrm{.}027$

d$.$

$99397\mathrm{.}813$