Suppose a natural person of $35$ years receives an annual salary of R$290800.$ The person generates an extra income at R$550$ per hour, has an investment yielding interest of R$2160$ per month and contributes R$2580$ per month to a pension fund. Assume that the following conditions are valid for a tax year for persons younger than $65$ years:

Gestel $\text{'}$n natuurlike persoon wat $35$ jaar oud is verdien $\text{'}n$ jaarlikse salaris van R$290800.$ Die persoon genereer $\text{'}n$ ekstra inkomste teen $R550$ per uur, het $\text{'}n$ belegging wat rente van R$2160$ per maand lewer en dra maandeliks R$2580$ by tot $\text{'}n$ pensioenfonds. Neem aan dat die volgende voorwaardes geld vir $\text{'}n$ belastingjaar vir persone jonger as $65$ jaar:

$\backslash$table$[[\backslash$table$[[$Belasbare inkomste $/],[$Taxable Income$]],$Belastingkoers $/$ Tax rate,,$],[0-189880,18\%$ van belasbare inkomste $/$ of taxable income,,$],[189881-296540,34178+26\%$ van bedrag bo $/$ of amount above $189880,,],[296541-410460,61910+31\%$ van bedrag bo $/$ of amount above $296540,,],[410461-555600,97225+36\%$ van bedrag bo $/$ of amount above $410460,,],[555601-708310,149475+39\%$ van bedrag bo $/$ of amount above $555600,,],[708311-1500000,209032+41\%$ van bedrag bo $/$ of amount above $708310,,],[1500001$ and above,$533625+45\%$ van bedrag bo $/$ of amount above $1500000,,],[$Rentevrystelling op beleggings $/$ Tax relief on investments$],[\backslash$table$[[$Maksimum bedrag aftrekbaar van belasbare inkomste $/$ Maximum amount deductible$],[$from taxable income$]],$R$23800,,],[$Belastingkortings $/$ Tax rebates$],[$Prim$$re korting op belasting $/$ Primary rebate on tax$],[$Bydraes tot annu$$teite $/$ Contributions to annuities$],[\backslash$table$[[$Maksimum bedrag aftrekbaar van belasbare inkomste $/$ Maximum amount deductible$],[$from taxable income$]],$R$350000,,]]$

MTHS$112$: Paper $/$ Vraestel $1|$ Exam $1$st qpp$/$Eksamen $1$e gel $|$ Full$-$time$/$Noltyds $2/5$

$2\mathrm{.}1$

Determine the taxable income $x.$ Assume the person did extra work of $200$ hours in the tax year.

$2\mathrm{.}2$

Use the table and determine the tax $T(x)$ due before rebates have been considered.

$2\mathrm{.}3$

What is the the tax due after rebates?

Bepaal die belasbare inkomste $x.$ Neem aan dat die persoon ekstra werk van $200$ ure gedoen het in die belastingjaar.

Gebruik die tabel en bepaal die belasting $T(x)$ verskuldig voordat kortings in ag geneem is$.$

Wat is die belasting verskuldig na kortings?