Answer:
![y=360* (1.03)^x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/xwu4tu5wfwhzs689tek79x8060wxrl00bp.png)
Explanation:
given that,
Josiah invests = $360
interest annually = 3%
the amount of money in Josiah's account = y
time at which the amount of y in Josiah's account = x
using compound interest formula
![A = P*( 1+(r)/(100))^t](https://img.qammunity.org/2019/formulas/mathematics/middle-school/cgu9fjpt9iiw5ec3sv9dtv6y949j3qqfo6.png)
![y = 360 *( 1+(3)/(100))^x\\y=360* (1.03)^x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/48zeavzbprm6yo7u93a5f613y6lhsb19vb.png)
hence, the required equation comes out to be
![y=360* (1.03)^x](https://img.qammunity.org/2019/formulas/mathematics/middle-school/xwu4tu5wfwhzs689tek79x8060wxrl00bp.png)