A magic machine multiplies every number entered into it by 0.3. Riya enters 2.5 into the machine. She then multiplies the result by 2.5 and adds the square of 0.3 to the final result. What number does Riya get?

Answer: 1.965

Step-by-step solution

Riya enters $2.5$ into the machine, which multiplies any input by $0.3$ . Multiplying $2.5$ by $0.3$ gives $0.75$ .

Next, Riya multiplies the machine's output by $2.5$ . We multiply $0.75$ by $2.5$ to get $1.875$ .

We need to find the square of $0.3$ . Multiplying $0.3$ by itself gives $0.09$ .

Finally, we add $0.09$ to $1.875$ . Aligning decimal places gives $1.875 + 0.090 = 1.965$ .