$1.$ Required information Problem $02\mathrm{.}027-$ Compound interest factors: Two ways to determine Consider the following factors. $($ F$//$P$,19\mathrm{.}00\%,34)($A$/$G$,21\mathrm{.}00\%,45)$ Problem $02\mathrm{.}027.$a $-$ Linear interpolation of tabulated factors Find the numerical values of the factors using linear interpolation. $($Round the final answers to three decimal places.$)$

The numerical value of factor $1$ is

The numerical value of factor $2$ is

$2.$ Problem $02\mathrm{.}005-$ New product value after development

A rotary engine powers a vertical takeoff and landing $($VTOL$)$ personal aircraft known as the Moller Skycar M$400.$ It is a flying car

known as a personal air vehicle $($PAV$),$ and it is expected to make its first untethered flight in $2020.$ The PAV has been under

development for $22\mathrm{.}00$ years at a total cost of $$105\mathrm{.}0$ million. Assuming the $$105\mathrm{.}0$ million was spent in an equal amount each year,

determine the future worth at the end of the $22\mathrm{.}00-$year period at an interest rate of $11\mathrm{.}00\%$ per year. $($Round the final answer to three

decimal places.$)$

The future worth is $

$3.$ Problem $02\mathrm{.}030-$ Arithmetic change in cash flows

An arithmetic cash flow gradient series equals $$900$ in year $1,$$$1,000$ in year $2,$ and amounts increasing by $$100$ per year through year

At i$=8\mathrm{.}00\%$ per year, determine the present worth of the cash flow series in year $0.($Round the final answer to three decimal places.$)$

The present worth of the cash flow series in year $0$ is $

$4.$ Problem $02\mathrm{.}033-$ Calculation of unknown gradient

For the cash flow revenues shown below, find the value of G that makes the equivalent annual worth in years $1$ through $7$ equal to

$$500.$ The interest rate is $10\mathrm{.}00\%$ per year. $($Round the final answer to three decimal places.$)$

The value of G is $

$5.$ Problem $02\mathrm{.}038-$ Calculation of unknown base cash flow

The future worth in year $10$ of an arithmetic gradient cash flow series for years $1$ through $10$ is $$675,000.$ If the gradient increase each

year, G$,$ is $$2,750,$ determine the cash flow in year $1$ at an interest rate of $10\mathrm{.}00\%$ per year. $($Round the final answer to three decimal

places.$)$

The cash flow in year $1$ is $