10. the principal on alisons mortgage is $150,000. she multiplies this by 2^{-5} to find the amount of…

10. the principal on alisons mortgage is $150,000. she multiplies this by 2^{-5} to find the amount of interest she pays in one year. how much interest does alison pay in one year? a. $2,343.75 b. $3,000 c. $4,687.50 d. $7,500

10. the principal on alisons mortgage is $150,000. she multiplies this by 2^{-5} to find the amount of interest she pays in one year. how much interest does alison pay in one year? a. $2,343.75 b. $3,000 c. $4,687.50 d. $7,500

Answer

Explanation:

Step1: Calculate the value of $2^{-5}$

By the negative - exponent rule $a^{-n}=\frac{1}{a^{n}}$, so $2^{-5}=\frac{1}{2^{5}}=\frac{1}{32}$.

Step2: Multiply the principal by $2^{-5}$

The principal is $150000$, and the interest $I = 150000\times2^{-5}=150000\times\frac{1}{32}=\frac{150000}{32}= 4687.5$.

Answer:

C. $$4,687.50$