Zadanie 8a
Find the balance on 1 January 2030, to the nearest dollar.
Interest and depreciation models
Build and evaluate repeated percentage-change models, accounting for compounding periods and inflation where needed.
Tę umiejętność sprawdza 19 zadań wzorowanych na arkuszach IB z lat 2022–2026.
Zadania sprawdzające tę umiejętność: 19 Otwórz w wyszukiwarce z filtrami
Zadanie 8b
Show that the balance first exceeds the original USD 31,000 price during 2035.
Zadanie 8c
The machine price depreciates at a constant annual percentage rate r. After one year its price is USD 29,140. Find r.
Zadanie 8d
The machine price depreciates at a constant annual percentage rate r. After one year its price is USD 29,140. For any real number t of years after 1 January 2026, model the price by 31000(1 − r/100)t. The club buys as soon as its credited account balance can…
Zadanie 3a
Write down r.
Zadanie 3c
Hence or otherwise, find the balance after one year, rounded to the nearest dollar.
Zadanie 2a
State the annual depreciation rate.
Zadanie 2b
Find the modelled value on 1 January 2029.
Zadanie 2c
How much additional money is needed beyond the account balance on that date?
Zadanie 8b
Write an expression for the reserve value after n years.
Zadanie 8c
(i) Find total retained grant plus reserve at the end of month 6. (ii) Find the least number of complete months before this combined value reaches at least 165000 dollars.
Zadanie 8d
After the grant ends,25000 dollars are invested for five years at a nominal annual rate r%, compounded quarterly. The balance becomes 34000 dollars. Find r.
Zadanie 8b
Write an expression for the reserve value after n years.
Zadanie 8c
(i) Find total retained grant plus reserve at the end of month 6. (ii) Find the least number of complete months before this combined value reaches at least 165000 dollars.
Zadanie 8d
After the grant ends,25000 dollars are invested for five years at a nominal annual rate r%, compounded quarterly. The balance becomes 34000 dollars. Find r.
Zadanie 1a
Find the final balance of reserve A.
Zadanie 1b
Find r so that both reserves have equal final balances.
Zadanie 1c
Find the interest earned in reserve B at the matching rate.
Zadanie 3a
Find A’s annual grant in 2025, to the nearest credit.