Question

Please help with this math

Answer 1

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

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