The total cost for the laptop is $850.
The total cost for the carrying case is $45.
So, the subtotal is $850 + $45 = $895.
7% of the subtotal is $895 * 0.07 = $62.65.
So, the total purchase price with sales tax is $895 + $62.65 = $957.65.
Rounding to the nearest cent, the total purchase price is $957.65.