You buy a house for $$228,000.$ A bank offers you a mortgage with an interest rate of $7\mathrm{.}5\%$ for $30$ years with a monthly payment of $$1,465\mathrm{.}90.$ True or False: The interest paid to the nearest penny is $$89,816.$

You buy a house for $$228,000.$ A bank offers you a mortgage with an interest rate of $7\mathrm{.}5\%$ for $30$ years with a monthly payment of $$1,465\mathrm{.}90.$ True or False: The interest paid to the nearest penny is $$89,816.$