If $a, b,c$ are positive integers less than $13$ such that\begin{align*} 2ab+bc+ca&\equiv 0\pmod{13}\\
ab+2bc+ca&\equiv 3abc\pmod{13}\\
ab+bc+2ca&\equiv 8abc\pmod {13}
\end{align*}then determine the remainder when $a+b+c$ is divided by $13$.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

What is the approximate value of  q  in the equation below? –1.613–1.5220.5853.079

Sally deposited money into a savings account paying 4% simple interest per year.the first year,she earn $75 in interest.how much interest will she earn during the following year?