Question

Please help with this math

Answer 1

Answer:

$\boxed{\textsf{ The correct option is \textbf{ option C } . }}$

Step-by-step explanation:

Given that Sara bought a car for $ 23,000 . The interest of loan is 2 .5% . And we need to write a equation g(t) to represent the amount of money that she will owe after t years. Also the amount is compound annually . We know the formula of CI as ,

Compound Interest :-

$\qquad\boxed{\boxed{ \sf CI =Amount\bigg( 1 +\dfrac{Rate}{100}\bigg)^{(time)} }}$

Let us take that ,

$\sf\implies f(x)=g(t)$

Put on the respective values :-

$\sf\implies f(x) = Amount\bigg( 1 +\dfrac{Rate}{100}\bigg)^{(time)} \\\\\sf\implies f(x)= 23,000 \bigg( 1 + \dfrac{2.5}{100}\bigg)^t\\\\\sf\implies f(x)= 23,000 \bigg( 1+\dfrac{25}{1000}\bigg)^t \\\\\sf\implies \boxed{\pink{\frak{ f(x)= 23,000 ( 1+0.025)^t }}}$