The value, $V$, of a piece of rare jewel at the beginning of $2022$ was $\$32\ 000$. This valu

Question

The value, $V$, of a piece of rare jewel at the beginning of $2022$ was $\$32\ 000$. This value increased continuously such that, after a period of $15$ years, the value of the jewel increased exponentially to $\$160\ 000$. Given that $V=A(1.25)^{kt}$, where $A$ and $k$ are constants and $t$ is the time in years from the beginning of $2022$, find the value of $A$ and $k$,[3] the year in which the value of the stone first reached $\$200\ 000$.[3]

Accepted Answer

(a) $A=32000,\ k\approx0.481$ (b) $2039$

2022 CHS AM S4 P1 Q13

2022 CHS AM S4 P1 Q13

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