$1.$ An online bank is offering to pay $0\mathrm{.}20\%$ interest per month on deposits. Your local bank offers to pay $0\mathrm{.}75\%$ interest quarterly $($every $3$ months$).$ Which is the higher interest rate?

$2.$ Suppose Capital One is advertising a $60-$month, $5\mathrm{.}88\%$ APR motorcycle loan. If you need to borrow $$8200$ to purchase your dream Harley$-$Davidson, what will be your monthly payment?

$3.$ Assume you graduate from college with $$28000$ in student loans. If your interest rate is fixed at $4\mathrm{.}12\%$ APR with monthly compounding and you repay the loans over a $10-$year period, what will be your monthly payment?