VCE · Foundation Maths · Number & Financial Maths live from the app

Budgeting and the cost of borrowing

A budget is planning your money before it disappears: income on one side, fixed costs you cannot avoid and discretionary spending you can on the other, and the gap is what you save or what you owe. Borrowing adds a second price to anything bought on credit: interest charged every month on what is still owed, plus fees. The monthly repayment depends on the amount, the annual rate and the term, and the honest way to compare loans, cards, consolidation offers or a mortgage against rent is the total you will repay, not the monthly figure. This is the real knowscape from knowhere, not a picture of one. Try it. Watch what actually changes.

foundation maths · number & financial maths · budgeting and the cost of borrowingplay with it · it is yours
in the wild

Simple interest works like laps at training.

Every calculation here is the same move: money changing by a percentage of some amount, once or over and over. Pay, interest, loans, a fading car — they differ only in what the percentage is of, and how many times it happens.

You set the distance you'll run each session — a fixed amount every time.

Each session you bank the same laps — never more, never less.

The stack climbs in equal steps, because each session adds the identical amount.

what examiners catch — Students quote the monthly repayment as the cost of a loan and forget to multiply by the number of months and add fees. The mark comes from stating the total repayable (repayment × months + fees), showing interest as total minus amount borrowed, and comparing options on that total rather than on the monthly figure.
what you leave with

five things, not forty.

what's underneath

nothing here is a standalone fact.

knowhere maps every concept to what it rests on and what rests on it — 3 underneath this one, 3 built on top. Each one says why, in a sentence, not as an arrow on a diagram.

this conceptbudgeting and the cost of borrowingThree linked pictures: a monthly budget whose total bar can climb past the income line into deficit, a loan whose repayment stream is split into principal, interest and fees as amount, rate, term and fee change, and a mortgage compared with rent per month and over the whole term.
sits under itcompound interestbecause the cost of borrowing IS compound interest from the other side
sits under itsimple interestbecause Interest as a percentage of what is owed is the base of every repayment here
sits under itpercentages in real lifebecause Rates and the share of income spent are percentages
built on itcomparing ways to pay for goodsbecause Knowing what you can repay each month is what makes one method fit better than another.
built on itthe real cost of owning a carbecause Running costs become weekly budget items, and loans add the cost of borrowing.
built on itsaving strategies and the emergency fundbecause Building a budget is where the monthly saving comes from, and it introduces what borrowing costs.
the rest of number & financial maths

5 more, same treatment.

Each one is its own knowscape in the app — built for how a particular student takes things in, not one explanation handed to everybody.

compound interestlive →depreciationin the appsimple interestin the appearning and understanding your payin the apppercentages in real lifein the app
this is one of 865

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