Need Sub help

I'm trying to buy a setup for my brother who just bought a 94 z28. He doesnt want to spend the money on his stereo so I thought I would for him. Problem is I dont know much about how to pick them out. Here is what I have so far let me know if you think it will work.

Alpine SWE-1042
Type-E 10" 4-ohm subwoofer

10" 4-ohm subwoofer
Kevlar®-treated pulp woofer cone
high-excursion Santoprene rubber surround
dual oversized Nomex® spiders
frequency response: 32-1,000 Hz
power range: 50-250 watts RMS
peak power: 750 watts
sensitivity: 87 dB
top-mount depth: 5-3/4"
sealed box volume: 0.6-1.25 cu. ft.
Recommended Q-Logic Box Type: 1, 2, 3


Alpine MRP-M850
Digital Mono 1500W Power Amplifier

Mono subwoofer car amplifier
High Power Class-D Design
DC-DC PWM Power Supply (MOS-FET)
Discrete Pre-Amp Stage
CEA-2006 compliant
MAX Power 1 x 1500W
RMS Power @ 4 ohms: 500W x 1 (0.08% THD)
RMS Power @ 2 ohms: 800W x 1
Thermal Management Processor
Over Current Protection
Built-in Crossover 50 - 200Hz (24dB)
Tuned Bass EQ (0-12 dB bass boost at 50 Hz)
Subsonic filter (24 dB at 15 Hz)
MOSFET power supply
STAR Topology (minimizes internal noise and prevents ground interference)
Gold-plated screw terminals
Speaker- and preamp-level inputs
Fuse rating: 25A x 3
15-5/8"W x 2-3/8"H x 9-9/16"D


Want a stealth box but not sure what depth I would need.
I hope the sub and amp choice go together and if not please dont tell me I am stupid just try to help. I have about 300 to spend on the amp and sub so suggestions are greatly appreciated.

Same way I just did it. Hifonics 1200 or 1600 D for $150-$200 and a RE SE-10" for $150. Will thunder in a stealth box! Or you could put one of the Elemental Designs 10's in there for about the same price. Most of the other subs cosgt a whole lot more though.

ditto.

if you wanted to go with that alpine setup i'd recommend a two channel amplifier. you could bridge the channels mono at 4ohm and put more power to the speaker for less price.

Im still confused. What size amp do I need for that sub?

trust me on this. all i put in my car is alpine, but i will admit that the E's, are garbage, pay the extra bucks and get s's or if you can afford it, r's are amazing. ive had type r speakers in my car and s's and the r's beat em with half the power. and e's are gonna be even worse. just helping out. and trust me, i give alpine all 5 stars when it comes to quality and sound, but e's really are theyre way of getting to the people who cant afford better, youd prolyl be better off with some lightning audio or some pep boys subs than e's. just my .02

elemental designs 11kv2 D2 and the nine2 amp
package builder puts it at 263.50

knukocneptz 8ga kit like 35 shipped and then all u need is a box and prly a LOC for stock headunit

A nice alpine two channel shouldn't run any more than $225